How to calculate the cubic capacity of a wall. Calculation of the cubic capacity of the house. By design features, building blocks are distinguished by

Our visitors often ask the question: how to calculate required amount bricks and wall blocks to build a house? Especially for private developers, we posted an example of calculating the number of bricks for construction two-story house size 10 by 10 meters (200 m2) with a ceiling height of 3 m (simplified version).

  1. Determining the length of the outer walls: 10+10+10+10=40 m.
  2. Determining the area of ​​the outer walls. To do this, the resulting length of the outer walls must be multiplied by the height of the house, i.e. 40*6=240 m2
  3. Brick laying should be chosen. For example, let's take a laying of 2.5 bricks, while laying of 2 bricks will be made of double brick and one row (in half a brick) - from a single front.
  4. In order to find the required amount of bricks, you need to multiply the area of ​​\u200b\u200bthe outer walls by the number of bricks in 1m2 of masonry (see table), 240 * 104 = 24960 pieces of double brick and 240 * 51 = 12240 pieces of front single brick.

Thus, for the construction of the house chosen by us, we need 24960 pcs. double stone and 12240 pcs. facing brick.

It should be noted that the calculation did not take into account window and door openings. However, even such a calculation allows you to determine the required amount of bricks, which in turn will help draw up a budget and estimate for construction. Do not forget to count the bricks on the internal partitions of the house. face brick. We recommend buying facing brick in one batch at once, this will avoid the difference in brick shades and order 15-20% more than the calculated quantity. Below are tables for bricks and wall blocks. (calculation wall materials, calculation of bricks per house)

unit of measurement

brick size

Excluding mortar joints, pcs.

Including mortar joints, pcs.

1 cubic meter masonry

Single

Thickened

1 sq.m. masonry in 0.5 bricks
(masonry thickness 12 cm)

Single

Thickened

1 sq.m. masonry in 1 brick
(masonry thickness 25 cm)

Single

Thickened

1 sq.m. masonry in 1.5 bricks
(masonry thickness 38 cm)

Single

Thickened

1 sq.m. masonry in 2 bricks
(masonry thickness 51 cm)

Single

Thickened

1 sq.m. masonry in 2.5 bricks
(masonry thickness 64 cm)

Single

Thickened

gas silicate blocks

The size

Wall thickness mm

pcs/m2

pcs/m3

Comparative characteristics

Cellular concrete, foam concrete, expanded clay concrete, ceramic brick.

Characteristics

Autoclaved cellular concrete

Non-autoclaved foam concrete

Ceramic brick

Expanded clay concrete

Density

800-1000

900-1850

Compressive strength

Frost resistance

Consumption masonry mortar

Quantity per 1m2 wall

Thermal conductivity

0,09-0,15

0,15-0,38

Weight 1m2 wall, kg

900-1800

when buying bricks, reinforced concrete products and wall blocks (blocks made of cellular concrete) require accompanying documents: certificate or passport for products. In the absence of these documents, it is better not to be tempted to brick or other building material.

If you do not want to "drown the street", do not make the outer walls less than 2.5 bricks (that is, 64 cm) thick, otherwise the heat will leave the house. Otherwise, you can use well masonry with an attachment mineral plates based on basalt (ISOBOX) this will reduce the load on the foundation without losing thermal insulation properties walls.

When buying imported bricks, please note that European standards do not always coincide with domestic ones in size, frost resistance, strength indicators. Keep this in mind when using imported and Russian bricks together. It should also be taken into account that the thickness of domestic reinforced concrete elements(lintels, floor slabs) is a multiple of the height of domestic bricks.

Online calculator of building blocks designed to perform calculations building materials necessary for the construction of the walls of houses, garages, utility and other premises. The calculations can take into account the dimensions of the gables of the building, door and window openings, as well as related materials such as mortar and masonry mesh. Be careful when filling in the data, pay special attention to the units of measure.

When filling in the data, pay attention to the additional information with the sign Additional Information

Technologies do not stand still, including construction. For the construction of walls, wood was replaced by brick, and today its place is increasingly taken by building blocks obtained artificially, and depending on the raw materials used, may have different characteristics.

With building blocks are popular in the construction of low-rise buildings, and walls of monolithic-frame buildings. Of these, you can not only build external walls, but also be used for internal partitions and interior walls. concrete blocks suitable for the manufacture of a prefabricated foundation for light buildings.

The advantages of building blocks are obvious. With their help, you can build a building in a short time without using special equipment. They have good thermal insulation and the necessary strength. Therefore, the funds spent on insulation will be significantly lower than in brick construction. And if we compare the building blocks with wooden log cabins, then it is not only less additional funds and works, but also a higher durability of the building.

Blocks do not need such a strong vapor barrier as, for example, wood. Given their size and lightness, even the foundation for such a house will cost much less compared to brick and reinforced concrete. The use of a special masonry adhesive increases the thermal insulation of the walls, and makes them more attractive in appearance.

Building blocks can be divided into two types:

  • artificial
  • - they are obtained by mixing concretes of different composition at factories, using special vibroforming machines. The resulting material, depending on the raw material, is distinguished by the necessary strength, density and thermal insulation properties.
  • Natural
  • - are relatively more expensive than those offered by the factory. They are obtained by careful processing, grinding rocks. Most often they are used as decorative finishes facades.

Artificial building blocks include: aerated concrete, foam concrete, expanded clay concrete, polystyrene concrete, sawdust concrete and many others. Each type is used depending on the required qualities, and has both a number of advantages and a number of disadvantages. One species has good thermal insulation performance, but they are somewhat inferior in strength (when compared, for example, aerated concrete and expanded clay concrete). In any case, buildings built using building blocks require less time to build turnkey houses, compared to the same wooden log cabins, which take a long time to finally dry and settle. And only after that you can start final finishing premises.

When building from blocks, interior decoration premises can be produced immediately after construction is completed.

By design features, building blocks are distinguished into:

  1. Structural
  2. Used for building bearing walls the buildings. They have high strength, but also high thermal conductivity and high weight. In this regard, during the construction of residential premises, mandatory additional insulation is necessary.
  3. Structural and heat-insulating
  4. They are used for the construction of load-bearing walls of low-rise buildings. They have average characteristics, both in terms of strength and thermal insulation qualities. Ideal for seasonal residences.
  5. Thermal insulation
  6. They are used for the construction of only self-supporting walls, such as internal partitions and walls of frame buildings, as well as for the insulation of load-bearing walls. They have low thermal conductivity, low weight, but also low strength.

Unfortunately, there is currently no ideal material, which has high rates of all the necessary characteristics at once, such as low thermal conductivity, high strength, low weight and cost. And in each case, it is necessary to choose exactly the material that is most suitable for the planned construction, taking into account the necessary requirements.

Price finished walls approximately equal to 1/3 of the cost of the entire building.

Further presented full list performed calculations with brief description each item. If you did not find the answer to your question, you can contact us at feedback in the right block.

General information on the results of calculations

  • Building perimeter
  • - The total length of all walls taken into account in the calculations.
  • About total masonry area
  • - Square outside walls. Corresponds to the area necessary insulation, if such is provided by the project.
  • wall thickness
  • - The thickness of the finished wall, taking into account the thickness mortar joint. May differ slightly from the final result depending on the type of masonry.
  • Number of blocks
  • - The total number of blocks required to build walls according to the given parameters
  • About the total weight of the blocks
  • - Weight excluding mortar and masonry mesh. As well as the total volume, it is necessary to select a delivery option.
  • Number of mortar for the entire masonry
  • - Volume mortar required for the laying of all blocks. Volume weight solution may differ depending on the ratio of components and additives introduced.
  • Number of rows of blocks including seams
  • - Depends on the height of the walls, the size of the material used and the thickness of the masonry mortar. Gables not included.
  • Number of masonry mesh
  • - The required amount of masonry mesh in meters. It is used to reinforce masonry, increasing the solidity and overall strength of the structure. Pay attention to the number of reinforced rows; by default, the reinforcement of each row is indicated.
  • Approximate weight of finished walls
  • - The weight of the finished walls, taking into account all building blocks, mortar and masonry mesh, but excluding the weight of insulation and cladding. - Load without taking into account the weight of the roof and floors. This parameter is necessary to select the strength characteristics of the foundation.

In order to calculate the material for partitions, you must start a new calculation and specify the length of all partitions only, the thickness of the walls to the floor of the block, as well as other necessary parameters.

Before purchasing any building material, it is necessary to determine the right amount as accurately as possible, otherwise you can lose some amount due to the remaining surplus or the need for additional purchases, as well as the unaccounted for possibility of fraud by unscrupulous sellers. Timber, logs, boards and similar wood products, as you know, are sold in cubic meters, which means that you need to know in all subtleties the calculations for determining the volume of these materials, as well as converting the required number of pieces into cubes and back. And in the case of purchasing timber for building a house, when calculating the required amount of this building material, it is also necessary to take into account the design and features of the future building.

Basic calculations - volume determination and conversion from pieces to cubes and vice versa

Calculating the cubic capacity of timber, boards and similar lumber is very simple. To do this, you need to know the thickness, width (height) and length of the product. And, as you know from a school textbook on geometry, you need to multiply these dimensions:

V = T ∙ H ∙ L, where

V is the volume of timber, m 3;

T is the thickness;

H - width;

L is the length.

Before calculating, dimensions should be given in one unit of measurement: mm, cm or m. It is better in meters, so that later you do not have to convert from mm 3 or cm 3 to m 3.

Beam size table

For example, let's calculate the cubic capacity of a bar 150x200. These dimensions, as you know, are indicated in mm. That is, the thickness of the product is 0.15 m, and the width is 0.2 m. The standard length of timber and boards is 6 m (sometimes also indicated in mm - 6000). Or maybe another. But for example, let's take exactly 6 m. Then the volume of this lumber:

0.15 ∙ 0.2 ∙ 6 \u003d 0.18 m 3.

Now you can convert the required amount (in pieces) of this product into cubes. Let's say you need 49 pieces:

0.18 ∙ 49 \u003d 8.82 m 3.

Knowing the volume of one product, you can also calculate the cube of the timber, that is, determine how many of its units (pieces) are in 1 m 3. To do this, you need to divide 1 cube by the cubic capacity of one product already calculated or taken from the reference tables (in this example, 0.18 m 3):

1 / 0.18 \u003d 5.55555 ... pcs.

In the same way, the amount of this type of timber is calculated for any volume.

The nuances of calculations - how not to make mistakes and not let yourself be deceived

As follows from the above methodology and calculation examples, it is very easy to calculate the required volume of timber in pieces or cubic meters. However, it must always be remembered that in 1 cubic meter there is not an integer number of these products. For the example given in the example with dimensions of 150x200 and a length of 6 m - 5.55555 ... pcs. Unscrupulous, most often retailers of timber cleverly take advantage of this.

For example, you need 1 cube of this material from the example. The seller, of course, releases 5 products, but takes the amount as for a whole cube. The overpayment will be the cost of half a bar.

And let's say that the same 49 bars from the example are needed to build a house. And if the seller considers according to the following scheme, then you will have to significantly overpay for the timber received:

  • 1 cube - 5 products 150x200 6 m long;
  • 49/5 = 9.8 cubes payable.

This is a divorce the purest water for 5 units of timber. They are superfluous and not needed, however, they will be paid, but not received. Above, in the calculation examples, the data of 49 products have already been translated into cubes - this is 8.82 m 3. That is, a "particularly enterprising" seller will deceive an inattentive buyer by:

9.8 - 8.82 \u003d 0.98 m 3 timber,

which is 0.98 / 0.18 \u003d 5.44444 ... pcs. this lumber (0.18 - the volume of one product calculated above).

Therefore, it would be most correct to calculate in advance exactly the number of units (pieces) of the material, and only then, using these data and the dimensions of the timber or board, calculate their actual cubic capacity.

That is, in the case of purchasing one cubic meter in the above example, you must first decide how many bars you really need to take - 5 or 6. And then we consider their cubic capacity:

0.15 ∙ 0.2 ∙ 6 ∙ 5 (or 6 pcs.) \u003d 0.9 (or 1.08) m 3.

And for 49 units of this timber:

0.15 ∙ 0.2 ∙ 6 ∙ 49 \u003d 8.82 m 3.

Then you will have to pay exactly for these 0.9 (1.08) or 8.82 cubic meters, having received exactly 5 (6) or 49 products. Moreover, both the quantity in pieces and the volume in m 3 must be indicated in the invoice for the timber sold by the seller.

Other features of calculating the cubature of lumber

Another one important feature, which you should know for the correct calculation of the cubic capacity of the timber or boards when they are purchased. The actual length of lumber usually always slightly exceeds the standard or declared by the manufacturer of this product. So, instead of 6 m, the average length of the considered timber, as a rule, is 6.05 m. This is due to the fact that the ends of the lumber are not processed after it has been cut, because of which they may turn out to be uneven, go at angles, and be different or simply be dirty. Of course, these 5 cm do not need to be paid. But some cunning sellers, although quite rarely, still try to take into account even this when calculating cubic meters, which is pure deception.

And regarding the calculations for grooved and profiled timber. The presence of spikes, grooves, and other protruding or turned places should not be embarrassing. The calculation of the cubic capacity of such materials is no different from determining the volume of ordinary products that are even on all sides. For grooved and profiled lumber, the rule applies that only the main part (working width) of the product is measured and taken into account, and all structurally necessary and / or decorative elements are not included in the calculations. This provision applies to absolutely all types of timber.

Purchase of large volumes of materials - calculation of storage and dense cubic meters

When to Purchase a large number of timber, their cubic capacity is calculated somewhat differently than discussed above. For example, a timber and a board are needed for the construction of an impressive spacious house, as well as various other outbuildings near it. At the same time, the necessary lumber, for sure, will be different sizes in cross section and length. To measure and calculate each type of required material with similar purchase volumes is an occupation that can take more than one day.

For such cases, there is a specific calculation method. It is based on two important concepts:

  1. 1. Dense cubic meter of wood. This is the name of the volume occupied only by wood and not having voids in it, as well as gaps. It is determined by measuring individual timber pieces, and then subsequent calculation of their total cubic capacity.
  2. 2. Folding cubic meter. This is the name of the volume occupied by the lumber stacked as tightly as possible and having voids, as well as gaps between individual wood products. It is determined by measuring the stack, and then multiplying the dimensions of the latter. Moreover, in such a package, the main amount of material should have approximately the same length, and the remaining products may be shorter, but not longer. It is allowed to have short sawn timber in piles, which should be tightly stacked one after another.

In order to quickly calculate the large volume of required purchased lumber, which is already prepared and stored in the form of a stack, the latter is first measured, and then its cubic capacity is calculated. This will calculate the folding cubature. Then its value must be multiplied by a special conversion factor. The result is the volume of only wood ( dense cubic meter), that is, exactly those materials that are bought and will be paid for.

The value of the conversion factor is regulated by a number of standards for lumber: GOST 6782.2-75, 6782.1-75, 6564-84, OST 13-24-86 and others. For timber and boards, depending on their moisture content and the type of wood from which they are made, it is in the range of 0.74–0.82.

We consider the required cubic capacity of timber for building a house

  • Height external walls measured from the foundation level. Let's denote it as H.
  • The height of the internal partition walls, if any, and should be made of timber.
  • The length of the outer and internal walls.
  • The number and length of the bars used in rafter system, as floor beams and, as well as in its other structures - if it is provided for by the project.

Then we select the thickness of the material for each of the above structural elements. For external and internal load-bearing walls, depending on the purpose of the house being built and the region where it is being built. For non-bearing partitions - at your own discretion. The plinth (lowest) crown of the outer walls is usually slightly thicker than the rest of the timber for them. For the remaining elements of the structure, the thickness of the material is selected based on the conditions of its operation, as well as the required strength of the structures in which it is used. In a well-designed project, by the way, the thickness of the timber used for the walls, the basement crown, and other building structures should already be indicated.

Now only pure arithmetic remains. First, we calculate the perimeter of the house - we add up the length of all its external wall structures. For a simple rectangular or square structure, you just need to add up its width and length, and multiply the resulting value by 2. Then we calculate the cubature of the base crown:

V C = T C ∙ Z C ∙ I, where

V C - total cubic capacity of basement lumber, m 3;

T C - thickness of the basement, m;

Z C - its width (height), m;

I - the perimeter of the outer walls, m.

Calculate the remaining height of the outer walls, m:

h \u003d H - Z Ts, where

H - total height, m.

We calculate the area of ​​​​external wall structures without a basement crown, m 2:

If the thickness of the material of the basement crown is the same as that of the entire wall, then the area of ​​\u200b\u200bthe latter, m 2:

We calculate the area of ​​\u200b\u200bthe inner walls, the thickness of the lumber in which is the same as that of the outer ones, m 2:

S В1 = H В ∙ L В1 , where

H B - the height of the internal walls, m;

L B1 - the total (total) length of the internal walls, the material thickness of which is the same as that of the external ones, m.

We calculate the area of ​​\u200b\u200bthe internal walls, the thickness of the timber in which is different, m 2:

S B2 = H B ∙ L B2 , where

L B2 - the total length of the internal walls, the material thickness of which is different, m.

We calculate the cubature of the main lumber - for external walls and internal partitions from the same timber, m 3:

V S = (S Н + S В1) ∙ Z S , where

Z S - selected thickness of the product, m.

We determine the volume of material for internal partitions from another timber, m 3:

V B = S B2 ∙ Z B, where

Z B - selected material thickness for these partitions, m.

The results obtained (V C, V S and V B) are divided by the length of the purchased lumber and its selected width (height). Get the amount of material in pieces. We round this value to an integer value, and then we recalculate V Ts, V S and V V, as described in the second chapter.

To save on lumber, you should calculate the total areas of window, door and other openings for the corresponding walls. Then their values ​​\u200b\u200bshould be subtracted from S H, S B1 and S B2, respectively. After that, we calculate V S and V B using the same formulas. Then we increase the obtained values ​​​​by 10-20% - so that there is a margin just in case.

The cubic capacity of the timber for the rest of the elements of the house in which it is used is calculated even more simply. Its total length is calculated, which we multiply by the thickness and width selected for the material.

We should start with the fact that all the units of measurement used in modern physical science and in everyday life are nothing but the result of the painstaking work of scientists over hundreds of years. In order to bring all inches, miles and pounds to a common denominator, we decided to switch to a common unit of measure. The modern metric system was based on kilograms and meters. All other units of measurement are derivatives, including the cubic meter. This article will tell you how to calculate the cubic capacity of various building materials.

A cubic meter is a measure of the volume of a body or substance. A cubic meter is the volume of a cuboid figure with edges exactly one meter long. The formula for calculating a cubic meter is very simple and looks like this: 1m3 = 1mx1mx1m.

measurement in cubic meters are subject to both solid substances (for example, lumber, reinforced concrete blocks) and liquid(dwelling water consumption, concrete consumption), and gaseous(measurement domestic gas for utility bills).

Obviously, if the source information is presented in related units of measurement (for example, in liters or cubic centimeters), then their conversion to volume units will not take much time. However, if mass or area is to be converted, some Additional Information, and the calculation is more difficult.

Calculation of the cubic capacity of edged lumber:

When calculating cubature edged board you will need to apply the knowledge acquired in geometry lessons. In the case of edged lumber, you simply need to multiply the three standard values. However, an incomplete pack of boards (beams) is taken into account. It is necessary to calculate the cubic capacity of one element first, then, having counted the total number of boards (bars) in a pack, multiply this number by the resulting volume value.

When calculating the cubature in this case need to work with the same units of measurement, i.e. convert all board sizes to meters (centimeters). Measurements should be carried out according to the parameters: length, width, thickness.

Calculation of cubature unedged board:

The calculation of cubature in this case also requires the measurement of length, width and height. The difference is that the calculation of the cubic capacity of one board becomes impossible, so we put the boards in a pack and measure it using various coefficients.

To make the calculations more reliable, it is recommended to stack the boards, then take the average of the thinnest and widest boards, add the two resulting indicators and divide in half. Thus, the average width is recognized, the width and length are measured traditional method.

In the next step, we multiply the stack width, length and width together and apply reduction factor. In accordance with GOST, this coefficient for a half-beam and for an unedged board is 0.5 and 0.63, respectively. Often, in order to simplify calculations, lumber manufacturers ship material with a coefficient of 0.7.

After one stack of lumber has been counted, you can move on to the second, third, etc.

  • columnar;
  • tape;
  • slab.

Obviously, the calculation of cubature in each individual case is individual. Let's start with the columnar foundation:

When calculating cubature strip foundation to begin with, we determine its cross section. If it is even, there should be no difficulty in calculating the cubature. In this case, we multiply the perimeter of the structure by its thickness and width. Next, follow the calculation instructions:

cubature slab foundation is calculated most easily. To determine the cubature of the slab base, you only need to multiply the length, width and thickness of the slab.

For example, it has the following data: 10, 0.4 and 10 meters. We calculate the volume by multiplying the indicators, and we get 40 m3 - the volume of concrete required.

However, it should be noted that in order to increase the strength of the slab foundation, they often resort to equipping the plates with stiffeners. If you are dealing with just such a project, in order to calculate the required amount of material, you need calculate separately the volume of the slab and ribs and add the resulting values.

So, we already know the indicator associated with the stove. It remains to calculate the cubic capacity of the stiffeners.

Suppose, in our case, the base has four reinforced elements with indicators of 10, 0.25 and 0.3 meters. Obviously, the volume of one stiffener is 0.75 meters. The total indicator for all ribs is 3 cubic meters (0.75 * 4). Then, to calculate the total amount of mortar required for the slab foundation, you need add the received values(40+3) and get 43 m³.

Calculation of the cubic capacity of the room

If the property you are interested in has no complex shape, then it is not difficult to calculate its cubature: just multiply the exponents width, length and height of the room.

If you do not have one or more characteristics of the room, measure them using tape measure or rangefinder. In order to increase the accuracy of the measurements taken, you can measure the height and width of opposite walls twice, then add and divide the resulting value in half (find the arithmetic mean).

Let's say you know the area of ​​the room. To find the cubic capacity, you need to multiply this indicator by the height.

If the room has complicated form, to begin with, conditionally divide the room into simple figures and, using geometric formulas, calculate the volume of each of them, then add the values.

Calculation of cubature from mass

If the mass of a substance is known for which it is necessary to calculate the volume (cubic capacity), one should first clarify the density this substance. This indicator can be measured independently or found in the density table of substances.

In order to find out the number of cubic meters, we should divide the known indicator of the mass of a substance by its density. In this case, the mass is measured in kilograms, and the density in kg / m3.

Non-standard methods for calculating cubature

If you are dealing with any body irregular shape and at the same time you know the density of the material from which the body is made, you can use all known Archimedes' law. To do this, you just need to lower the body into water and measure the volume of water displaced from the vessel - this will be an indicator of the volume of the body immersed in water.

There is another way to calculate the cubature of a body. He quite laborious, however, in some cases is the only way out of the situation. So, you need to measure a cubic meter of material. This can be done with a bucket. If we are talking about a standard bucket, its capacity is 10 liters or 0.01 m3. Consequently, one hundred such buckets of the material of interest to us will be one cubic meter.

As you can see, the cubature calculation scheme in each individual case is very individual. Much depends on what indicators are already known and the volume of what exactly needs to be calculated. In any case, the calculation of the cubic capacity of a particular substance (concrete, water, sand, etc.) or premises very important not only in the professional field, but also in Everyday life. However, to produce necessary calculations It will not be difficult for a person who is absolutely not connected with the mathematical sciences.

Instruction

To calculate the cubic capacity of a room, multiply its length,. That is, use the formula:
K = L x W x H, where:
K - cubic capacity of the room (volume expressed in cubic meters),

L, W and H - length, width and space, expressed in meters, respectively.
For example, if the length of the room is 11 meters, the width is 5 meters, and the height is , then its cubic capacity will be 11 x 5 x 2 = 110 cubic meters.

If one or more characteristics of the room are unknown, then measure them using construction tape measure or electronic rangefinder. When using an electronic rangefinder, make sure that it is directed strictly perpendicular to the wall, the distance to which is . To improve the accuracy of the calculations, measure the height and width twice - at opposite walls, and then find the arithmetic mean (add and divide by 2).

Let, for example, measurements of the length of the room show 10.01 m and 10.03 m, measurements of the width - 5.25 m and 5.26 m, and measurement of the height - 2.50 m. In this case, the cubic capacity of the room will be equal to:

(10.01 + 10.03) / 2 x (5.25 + 5.26) / 2 x 2.5 \u003d 131.638

(in most cases, three decimal places is enough).

If you know the area of ​​\u200b\u200bthe room, then to calculate the cubature, simply multiply this area by the height. That is, use the formula:
K \u003d P x B, where
P is the area of ​​the room, given in square meters (m²).
So, for example, if the area of ​​the room is 100 square meters, and its height is 3 meters, then its volume will be:

100x3=300 (cubic meters).

If the room has a complex shape, then use the appropriate geometric formulas to determine its area or divide the room into simpler sections.
So, for example, the circus arena always has the shape of a circle with a radius of 13 meters. Therefore, its area will be equal to πR² = 3.14 x 169 = 531 (square meter).
If, for example, the room consists of three rooms with an area of ​​30, 20 and 50 m², then total area premises will be equal to 100 m².

Sources:

  • how to calculate cubic meters

If on a plane a square can be compared in terms of primitiveness only with an equilateral triangle, then four more regular polyhedra compete with a cube. However, it is very simple, maybe even simpler than a tetrahedron.

Instruction

What is a cube? Otherwise, this shape is called a hexahedron. This is the simplest of the prisms, its sides are in pairs, like any of the prisms, and. You may also find that the hexahedron is called a parallelepiped. And there is. A cube is a rectangular parallelepiped with equal edges, each of whose six faces is a square. At each vertex of the cube, three of its edges converge, so in total it has six faces, eight and twelve edges, the adjoining faces are perpendicular to each other, that is, they create angles of 90 °.

If you do not have any data about the cube at the beginning of the calculations, do it simply. Name the edge of the cube a. Now you will start from this very non-numerical value in the calculations.

If one of the edges of the cube is a, then any other edge of the cube is equal to a. The area of ​​the face of a cube is always a^2. The diagonal of the face of a cube is calculated by the Pythagorean theorem and is equal to a times the root of two. All of the above follows from the fact that each face of a cube is a square, which means that the edge of the cube is in each case the side of the square, and the face of the cube is equal to the area of ​​the square with side a.

We now turn to formulas of the next order. Knowing one face of a cube, it is easy to find out the area of ​​its surface, it is 6a^2. The volume of a cube is a^3, since the area of ​​any straight prism is equal to the product of the length of the prism times its width times its height, and in our case all these parameters are equal to a.

The length of the diagonal of a cube is equal to a times the root of 3. This is clear from the theorem that in any rectangular parallelepiped, the square of the diagonal is equal to the sum of the squares of the three linear dimensions of a given polyhedron. At the intersection of the diagonals of a cube, or other parallelepiped, there is a point of symmetry. This point divides the diagonals equally, in addition, nine planes of symmetry pass through the point of symmetry in the cube, dividing the cube into equal parts.
So you have learned all the information necessary and sufficient to calculate any cube parameter. Try.

If there are no problems with the determination of weight and volume, for example, when buying liquids or bulk materials, then with timber the situation is different. Here, the system for determining the volume of the required amount of this raw material raises many questions, since no one wants to pay extra money.

Instruction

It turns out that not all buyers realize how many species actually exist. But it differs from each other in the degree of processing, type, grade, which directly affects it. This is how the slab is calculated - a very popular type of lumber.

First, the measured batch of business slab should be sorted into. One group consists of boards with a length of more than 2 m, the other - less than 2 m. Stacking is carried out with thick and thin ends alternately in different sides, while the surface of the slab remains at the bottom and at the top. The stack should be compact and tightly stacked at right angles and have the same height.

The volume of sawn timber from softwood and hardwood can be determined in two ways.

The first method involves measuring each bar or board, and then the volume, after which the results are summarized.

The second way is with the help of a cube, a special table designed to determine the volume of such lumber. The measurement of boards related to unedged lumber is performed somewhat differently. In this case, the width of a one-sided edged and unedged board is calculated as half the sum of the upper and lower planes.

Of course, it is worth dwelling separately on the measurement of cubature roundwood. Here you have to measure each log separately - the length and width of the upper and lower ends. The special tables on which these calculations are made are called, which were discussed above.

After the volume of each log is measured separately, addition is made and the total cubic capacity is obtained. There is already a corresponding computer program.

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When deciding technical tasks sometimes you need to calculate the cube of a number. A cube in mathematics means a number raised to the third power, that is, multiplied by itself three times. The easiest way to do this is with an engineering calculator. If there is no such calculator, then you can get by with other means.

You will need

  • calculator or computer.

Instruction

Counting a cube on an engineering calculator Engineering differs () in the presence additional buttons and inscriptions for calculating mathematical functions (sin, cos, etc.). To cube a number on an engineering calculator, first dial the number itself. Then find the exponentiation button on the calculator's keyboard. Typically, such a button is denoted by the letter x (X) and a small, slightly higher letter y (Y). Press this button and then press the "3" button, then press the "=" button. The cube of the number will be displayed on the indicator of the calculator.

Cube a number on a regular (accounting) calculatorTo calculate the cube of a number on a regular (accounting) calculator, dial the number itself. Then click on the multiplication button (denoted by "X"). After that, type the number to be cubed again. Click on the "multiply" sign again. And finally, dial the same number a third time. Then click on the "=" button. The cube of the number will appear on the indicator of the calculator.

Cube using the OS Windows calculatorTo calculate the cube of a number on a computer, use the calculator program. Depending on the computer installed operating system and used software, calculators may vary slightly. Consider the most common Windows OS and the standard calculator.
Launch the calculator program. To do this, simply click the "Start" button, then "Run". In the window that appears, type "calc" and click "OK".

If you do not see the buttons with the symbols of mathematical functions, then switch the calculator to the "engineering" mode. To do this, select the "View" menu item and check the "Engineering" line in the drop-down list.
Type the number you want to cube on the keyboard and press the "x^3" button. The result will immediately appear on the scoreboard of the virtual calculator.

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In everyday life and technology, wood is called the inner part of the tree, lying under the bark. For wood, the main and most important are following properties: texture (the shape of the pattern of wood fibers), strength, hardness, deformability (the ability to hold the shape), specific viscosity, thermal conductivity, sound conductivity.

You will need

  • To measure the cubature of lumber, you will need a tape measure and special tables (which you can request from the seller), which are called "cubature".

Instruction

Wood is the raw material for the production of more than twenty thousand products and products. Methods for processing wood raw materials are divided into three groups: mechanical, chemical-mechanical and chemical. Mechanical wood consists in changing its shape by sawing, planing, milling, peeling, drilling, splitting. As a result machining receive a variety of consumer goods and industrial use. The value of various types of wood lies in their strength, durability and originality of the pattern. This wood is used to make beautiful furniture, doors, various items of the interior, which are considered elite, given the initially high cost and the amount of effort spent on its processing. In Russia, the following species are most common: oak, beech, pear, rosewood, mahogany, walnut, maple.

Board - up to 100 mm thick and more than double thickness wide. Boards are made from logs or beams. They are used in construction, in the furniture industry, in the production of containers, etc. Depending on the sawnness of the edges, there are the following types of boards: edged (edge ​​on both sides), one-sided edged (with an edge on one side) and unedged. When buying and selling timber, of course, you have to measure them. Indeed, unlike other types of goods, they are not sold either by the piece or by weight, but in cubic meters. The volume of sawn softwood and hardwood is determined in two ways. You need to measure one board and its volume, the volume is calculated by the formula V = length X (multiply) width X (multiply) thickness. So you get the volume of one board, now count all the boards, multiply the volume of one board by the number of boards and you will get the volume of all the lumber brought to you.

You can also calculate the volume of wood using the so-called cube (GOST 5306-83), which is designed to calculate edged sawn softwood and hardwood. The cubature (standard) contains a table of volumes of one meter of length and a table of one piece of lumber. Based on them, and determine the cost of the purchase. For example, we need to find the volume of 70 edged boards with a thickness of 22 mm, a width of 125 mm and a length of 4.5 m. length 4.5 m, we find the volume 0.01238 m3. Then, by multiplying the volume by the number of lumber in the batch, we obtain the desired volume in m3: 0.01238 m3 X 70 = 0.8666 m3. For reference, we will answer that a four-axle gondola car includes about 55-60 m3 of edged lumber conifers.

Instruction

As a rule, a board is used in construction, the thickness of which is 10 cm or less (with a ratio of width to thickness of 2 or less), and its length is not more than 6.5 m (coniferous species) and not more than 5 m (hardwood). But in exceptional cases, for example, for special facilities, a board is used, the length of which can reach 9 m and is made by special order. The thickness and width of this type of lumber is determined by the assortment, i.e. its composition by brand, profile and dimensions. In particular, the width is the size determined by the gap between the edges of the board in the direction perpendicular to the longitudinal axis. It is measured along a wider longitudinal surface in the place where there is no wane (the lateral outer part of the log, preserved after sawing it), but not less than 1500 mm from the end. In the place where the width of the board is measured, there should be no dents, notches and chips.

The width of the edged board (sawn so that it does not contain bark on the side edges) is determined by the wide (inner) surface at the point of cut on both edges. Its width is usually twice the thickness. If the board is unedged (the edges are not sawn or partially sawn), then its width is calculated as follows: the width of both spheres in the middle of the length of the board is added up and divided in half. In practice, as a rule, the width of an unedged board is determined in the middle of its length without one.

When recording lumber, three numbers are used, one of which is the length in meters, the other is the width in centimeters, and the last is the thickness in millimeters. For example: the entry 5x16x50 means that this is a five-meter board 16 cm wide and 50 mm thick. Breed, grade and degree of trimming are indicated in words at the beginning of the entry.

It is worth noting that there are six varieties of lumber obtained from softwood. The board of the first and second grade is used for floors, joinery, bearing beams, glued structures, etc., the third - for installing a ceiling under plaster. The board of the fourth grade is used for roof lathing, fences, etc., boxes are made from lumber of the fifth grade, and they are also used in shield partitions, etc.