How to correctly calculate the cubic capacity of an unedged board? How to calculate the required volume of the board? How to calculate the cube of an unedged board

Any construction work begins with a design and estimate, which involves calculating the amount of materials. Edged boards are one of the most popular materials from the range of timber trading enterprises. The basic unit of measurement for any lumber is 1 m3. However, it is important for the end user to know the number of boards in a cube of a certain length and thickness.

Instructions

Sometimes the manufacturer leaves a tag on the materials indicating the price of the package and the exact volume. But often the measurement is made by the storekeeper.

The calculation of cubic capacity will depend on the degree of processing of the material, type and variety. For example, edged and not edged board calculated differently. Also, calculation methods may be different for breeds. For coniferous and deciduous trees, you can use both measuring and multiplying the sides, and a standard designed to calculate the volume. The second method is the use of a collection of tables, where each meter of length and one piece of material corresponds to a volume. They are called cubatures.

To find the number of cut boards in 1 cube, you need to find out the volume of one of them by finding the product of three quantities, and then divide 1 m 3 by it.

Example:

• Section 150x25 mm
• Length 6 m

The first step is to convert all values ​​into meters: 150x25 mm = 0.15x0.025 m

0.15 x 0.025 x 6 = 0.0225 m3

We determine how many boards are in one cube: divide 1 m3 by cubic capacity (the volume of one board):

1 m 3 / 0.0225 = 44.4 pieces

Calculation may be required, for example, when determining the cost. So, if we take the price per cube equal to 6,500 rubles, then with a cubic capacity of 0.0225 m2, one will cost 146.25 rubles. But often the volume is rounded to 0.023. And then the materials cost the buyer 149.5 rubles per piece. And when rounding the quantity, the overpayment for 1 m 3 is 1%.

The calculation for unedged boards is made differently. If only one piece is purchased, then its length and thickness are measured in the same way as for trimmed material. But the average figure is taken for the width. For example, if it can vary from 15 to 23 cm at different ends, then it is necessary to take the value in the middle.

If you need to find the volume large quantity boards, then they need to be sorted into piles according to the maximum match in length and width. It is better if the error does not exceed 10 cm. The height of the stack is measured using a tape measure in the middle of the board and the length. The result is multiplied by a special coefficient, which depends on the air gap and is 0.07-0.09 units and is taken from the cubature reference book.

The table shows the estimated number of edged boards of spruce, pine, cedar and larch in a cube of lumber. The standard length is taken to be 6 m, and the width is from 100 to 250 in increments of 50 mm. The thickness is 25-50 mm.

Size, mm	Quantity in 1 m 3 (L= 6 m)	V 1 pieces, m 3

Size, mm	quantity in 1 m 3 (L= 6 m)	V 1 pieces, m 3

Whether you are a carpenter or simply purchasing the required cubic volume of lumber based on calculations, the ability to correctly calculate the volume of lumber will help in correctly drawing up estimates and will save you from additional financial expenses.

The additional need to learn how to count the volume of lumber also comes from the fact that this is practically the only type building material, which is sold not by piece or by weight, but in cubic meters.

The quality, weight and cost of lumber are influenced by many factors, the surface of the wood (presence of chips, grinding, firing, cracks, etc.), humidity and cutting method, which can be tangential or radial.

Types of lumber

There are many types of lumber on the market today, which differ in their manufacturing method and performance characteristics:

Of course, it’s easier when the lumber is packaged in packages with exact indications of price and volume, but this is quite rare and this is done by companies that produce large quantities of products at high prices. The price tag for a board from private sellers is usually lower, but the boards are usually delivered en masse without clear packaging. It is important to always buy a batch of slightly larger cubic capacity than necessary, since in the process construction work Most likely, it will be discovered that there is not enough lumber, and some of the products in the batch are defective.

Calculations for one cube of board will vary depending on the type of wood, as well as the level of processing of the lumber. Unedged and edged boards are calculated using different formulas. As for the species, the easiest way is to calculate one cube of coniferous wood: the width, length and thickness of one board are measured and multiplied, and then the resulting indicators are multiplied by the amount of identical lumber.

An unedged board is obtained by longitudinally cutting logs without additional processing of the boards on the sides. Such lumber is cheaper than edged boards, but their disadvantage lies in the complex calculation of the cube of products. Unlike edged boards, it is not possible to calculate the total volume of lumber based on the dimensions of one board, since its width varies depending on the board; only the length and width remain identical. Differences in width occur due to the fact that unedged boards are cut from different areas logs

1 way

In unedged boards, there is often a disproportion between the thickness and width of the board at its different ends, so for correct calculations it is necessary to determine the minimum and maximum values ​​for the width and thickness of the board. We divide the resulting results by 2. The formula itself will look like this: (a1+a2)/2*(b1+b2)/2*c. If necessary, a calculator can be useful for correct calculations. To the only drawback similar method can be attributed to the high time costs, because Due to the fact that the boards are very different, you will have to measure each unit of lumber separately.

Method 2

It is much easier to make calculations when it is necessary to cover some part of the building with boards, be it a floor or a wall. To do this, take the area that needs to be finished with boards and multiply it by the thickness of the sheathing material - the resulting number will be the required volume of lumber. For a better understanding, let's give an example: to cover the wall of a building with parameters 8 * 4 with a height of 4 meters, we use a board 20 mm thick.

We calculate the area of ​​the wall, namely: (8+8+4+4)*4=96 sq.m. Next, we multiply the resulting result with the thickness unedged boards and we get: 95*0.020=1.9 kb.m. The width of the board does not matter; it does not have any effect on the calculations. But at the same time, for construction work, it will not be superfluous to find out the average values ​​of the board depending on its length. You can see the average data in the table below.

Edged board is the most popular type of lumber, which is slightly more expensive than edged board, because the wood is processed from all sides. To obtain it, the log is sawn lengthwise into boards, and then the side edges are processed; the resulting material has a rectangular shape. The advantages of this sawmill material include greater durability, since harmful microorganisms are removed along with the bark, as well as improved joining with other sawmill materials due to the cleaned sides.

Edged boards undergo additional drying and many processing operations, which increase not only their performance characteristics, but also their price. The price is also affected by the type of wood and type of lumber.

Since the edged boards are identical in size, the cubic capacity will be calculated using a simple formula: V=l*h*a, where l,h,a is length, height and width respectively, and V is volume.

In construction, timber with a square cross-section is most often used, that is, with an aspect ratio of 100 * 100 mm. To calculate the cubic capacity of one beam, you need to multiply the product of its width and height by the length of the beam. For example, consider the case when it is necessary to purchase 30 units of timber with a cross-section of 100*100 mm and a length of 9 meters. To do this, multiply the width by the height, and multiply the resulting value by the length of one beam. In general, the calculations will look like this: 0.10*0.10*9=0.09 m3 - this will be the cubic capacity of one beam. Now we multiply this value by the amount of timber required, it turns out: 0.09*30=2.7 m3.

If there are grooves in the timber, this often does not in any way affect the cubic capacity, since the products in a batch of lumber are tightly connected to each other.

General conclusions

Calculating the required number of cubic meters of lumber is not at all difficult if the formulas for calculations are known. After measurements, it will become much easier for you to calculate the required number of cubic meters and quickly find out its cost.

Purchasing materials by eye is nonsense, and no self-respecting owner would do this. In order to competently draw up an estimate and estimate how much construction or major renovation, you need to determine how much of a particular product will be needed. It’s more complicated with boards - they are not sold individually, but are sold (as well as stored) in batches, the volume of which is expressed in m³. But the number of pieces, as a rule, is “tied” to the area covered, that is, to m². Let's figure out how to determine how many boards will be in one cube.

Why are the boards 4 and 6 meters? The calculation method given below does not change for any length. The fact is that the indicated parameters are the most popular ones. Manufacturers focus on the dimensions of platforms and freight cars, so it is more profitable for them to supply boards 6 m long. But the buyer is more interested in boards four meters long, since a truck with an extended body is enough to transport them.

For transportation 6 meter boards need a road train; This means that the cost of delivering lumber to the site will increase. And the maneuverability of such transport is significantly limited. For example, it makes no sense to deliver boards to a dacha area, given the narrowness of the alleys.

The procedure for calculating the number of boards in a cube

You just need to remember high school. The so-called “cube” (a common name for a volume measure) is the product of the linear parameters of any volumetric object. That is, its length, width and height (in in this case, thickness).

• The edges of one of the boards in the stack are measured. This results in width and thickness. The length is known - 4 or 6 m.
• All measured parameters are recalculated into one dimension. Since we are talking about a cube, that is, m3, all of them (including width and thickness) are indicated in meters.
• The “cubic capacity” of the workpiece is determined.
• 1 m³ is divided by the resulting value. The result is the number of boards in the cube.

The numerator of the fraction does not necessarily have exactly 1. The storage of boards is done in different ways, and lumber is not always required in such quantities. If a stack contains 0.8 cubic meters, then this is its volume.

Example. Buy a board 6 m, 25 mm, 20 cm wide, in the amount of one cube.

• We convert the values ​​into meters: thickness – 0.025, width – 0.2.
• We determine the cubic capacity of the board: 6 x 0.2 x 0.025 = 0.03 m³.
• We calculate the number of samples - 1: 0.03 = 33, (3).

Calculator for calculating the quantity and volume of lumber

If the resulting value is a fraction, the result is always rounded to the nearest whole value. That is, only the numbers before the decimal point are taken into account. This is the generally accepted norm!

These tables will help you determine the approximate number of boards in a cube without resorting to calculations.

• The calculation algorithm is the same for all lumber in this group, regardless of their characteristics - wood species, degree of drying.
• The table values ​​are purely indicative, since they do not entirely correctly reflect the actual number of boards in a cube. Firstly, a lot depends on the stacking, that is, how tightly the boards fit. Secondly, nothing is said about the quality of processing of the workpieces (whether they are edged or not). Thirdly, it is not a fact that upon careful inspection a certain number of boards will not be rejected due to detected defects. Therefore, it is always necessary to slightly reduce the number obtained by calculation. If the board is edged - by about 10%, in the case of unedged - by 15 - 20%.

Content:

The seller and buyer of timber pursue their own interests. In such a rather delicate matter, you need to have certain - simple - knowledge. Today everyone has a tool: a calculator on their phone.

What is a cubic meter of edged boards?

How many edged boards are in one cube - Photo

Edged board- lumber with cleanly cut edges, without bark residues. The width of the edged board is at least twice the thickness.

Since the fee is charged for volume in cubic meters, let us recall the geometric formula for its determination:

W * H * D = volume.

Everything is calculated in meters

To find out how many boards are in one cube:

1 / (W * H * D) = number of boards in 1m3 (cube)

Where, Sh- Width, IN- Height, D- Length

Translation: 1mm = 0.001m, 10mm = 0.01m, 100mm = 0.1m

Below is a table of some types of edged boards and their volume

Board dimensions	Volume of one board	Boards in 1m3 (cube)
20×100×6000	0.012 m³	83 pcs.
20×120×6000	0.0144 m³	69 pcs.
20×150×6000	0.018 m³	55 pcs.
20×180×6000	0.0216 m³	46 pcs.
20×200×6000	0.024 m³	41 pcs.
20×250×6000	0.03 m³	33 pcs.
25×100×6000	0.015 m³	67 pcs.
25×120×6000	0.018 m³	55 pcs.
25×150×6000	0.0225 m³	44 pcs.
25×180×6000	0.027 m³	37 pcs.
25×200×6000	0.03 m³	33 pcs.
25×250×6000	0.0375 m³	26 pcs.
30×100×6000	0.018 m³	55 pcs.
30×120×6000	0.0216 m³	46 pcs.
30×150×6000	0.027 m³	37 pcs.
30×180×6000	0.0324 m³	30 pcs.
30×200×6000	0.036 m³	27 pcs.
30×250×6000	0.045 m³	22 pcs.
32×100×6000	0.0192 m³	52 pcs.
32×120×6000	0.023 m³	43 pcs.
32×150×6000	0.0288 m³	34 pcs.
32×180×6000	0.0346 m³	28 pcs.
32×200×6000	0.0384 m³	26 pcs.
32×250×6000	0.048 m³	20 pcs.
40×100×6000	0.024 m³	41 pcs.
40×120×6000	0.0288 m³	34 pcs.
40×150×6000	0.036 m³	27 pcs.
40×180×6000	0.0432 m³	23 pcs.
40×200×6000	0.048 m³	20 pcs.
40×250×6000	0.06 m³	16 pcs.
50×100×6000	0.03 m³	33 pcs.
50×120×6000	0.036 m³	27 pcs.
50×150×6000	0.045 m³	22 pcs.
50×180×6000	0.054 m³	18 pcs.
50×200×6000	0.06 m³	16 pcs.
50×250×6000	0.075 m³	13 pcs.

When purchasing lumber in small quantities, you can get confused with decimal places, namely rounding. An experienced seller will round the resulting number to the 3rd decimal place. An experienced buyer will round by GOST y - up to 0.000001 cubic meters and will remind the seller that up to 0.001 cubic meters. meters are rounded only batch of boards. The most common quantity - from several boards to 2-4 cubic meters - is not made up into a batch. In order not to offend either one or the other, round to 4 decimal places.

Then the resulting volume is multiplied by the cost of 1 m3 (cube). And this is where the number of decimal places can significantly affect costs.

1 edged board 32 mm thick, 200 mm wide and 6 m long(32Х200Х6000) has volume

• 0.032 * 0.2 * 6 = 0.0384 cube

30 boards will have the volume

• 0.0384 * 30 = 1.152 cubes

If the seller rounds the volume of 1 board to 0.04 cubic meters, he will additionally receive income:

• 0.04 * 30 = 1.2 cubes
• 1.2 - 1.152 = 0.048 cubic meters

Selling these 0.048 "air" cubes makes it easier on the buyer's wallet

Cost may vary depending on the type of wood. The grade decreases with a decrease in quality: the presence of wood defects and deviations from standard sizes. If batten has a curvature, is narrower or thinner than the standard by 3-5 mm, it will not be completely useful. Visual inspection of lumber is as important as accurate determination of volume.

Covered area of ​​edged board

To find out how much lumber you need, calculating the board in a cube will help you. The above formula is based on the definition of area

W * D = area.

Having calculated the area to be covered, all that remains is to multiply it by the desired board thickness

W * D * 0.022; 0.025; 0.032; 0.04 m and so on.

All that remains is to see how many boards there are in one cube and determine required quantity. Just in case, print or memorize the table above.

You also need to take into account the future cutting of the material.Flooring and lining boards have an overlapping tongue and groove, which is taken into account in cubic capacity, but is not included in the covered area. A couple of boards are needed have in reserve .

Determining the volume of an unedged board

How many unedged boards are in one cubic meter - Photo

Unedged board, that is, not having a rectangular cross-section along the entire length, is significantly cheaper and is widely used for constructing various types of rough sheathing and temporary fencing.

It is important to understand that the upper and lower surfaces of such a board must be sawn along the entire length. If one face is not sawn, then it is already croaker. The definition of cubic capacity of such lumber differs precisely in that it does not have the correct geometric shape.

Current standards establish several ways to account for unedged material, and it is practically impossible to calculate exactly how many boards are in 1 cube.

1. Batch.
2. Piece by piece.
3. Sampling method.

In batch In this case, the boards are tightly placed in a bag of the correct shape with further measurements. Further calculations are made using the standard formula for determining volume. Using different coefficients.

Piece measurement made using average measurements of height and width. The largest and smallest dimensions in meters are added and divided in half.

(Wmax + Wmin)/2 * (Bmax+ Bmin)/2 * D = volume, m3

Where, Sh- Width, IN- Height, D- Length

If it is visually clear that the wood is fresh and, accordingly, damp (humidity above 20%), then the seller is obliged to reduce the total volume by multiplying the resulting cubic capacity by the coefficient:

• 0,96 for coniferous species
• 0,95 for deciduous.

Sampling method used to determine the volume of a large batch not edged lumber. When loading, for example, into a truck vehicle, every fifth, tenth or twentieth board is measured using the second method.

The resulting volume is multiplied by five, ten, twenty. Loading continues until the next control board. It is also practiced to select control boards into a separate pile. The count is made after loading is completed.

Calculating the volume of timber: how much timber is in a cube?

Calculation of the amount of timber in one cube - Photo

A timber differs from an edged board only in that all its edges or two opposite ones have the same size: more than 0.05 m in thickness and 0.013 m in width. The formula for determining its volume is standard

R timber size	Volume of one beam	Timber in 1m3 (cube)
100×100×6000	0.06 m³	16 pcs.
100×150×6000	0.09 m³	11 pcs.
150×150×6000	0.135 m³	7 pcs.
100×180×6000	0.108 m³	9 pcs.
150×180×6000	0.162 m³	6 pcs.
180×180×6000	0.1944 m³	5 pieces.
100×200×6000	0.12 m³	8 pcs.
150×200×6000	0.18 m³	5.5 pcs.
180×200×6000	0.216 m³	4.5 pcs.
200×200×6000	0.24 m³	4 things.
250×200×6000	0.3 m³	3 pcs.

W * T * D = timber volume, m3.

To find out how much timber is in one cube

1 / (W * T * D) = amount of timber in 1 m3 (cube)

Where, Sh- Width, T- thickness, D- Length

Translation: 1mm = 0.001m, 10mm=0.01m, 100mm=0.1m

When purchasing timber, the volume must be determined individually, since the timber in the stack is laid with spacers. Measurements of such a stack and calculation of cubic capacity using the given formula invariably lead to a significant overestimation of the volume.

Length of 1 cube of timber (as well as any edged lumber) in meters is determined by dividing the unit by thickness and width. For example, you need to find out how much timber is in one cube - the edge is 180 mm.

1 / (0.18 * 0.18) = 30 meters 87 cm.

1 meter of such timber will have the following volume.

0.18 * 0.18 * 1 = 0.0324 m3.

These calculations may be needed when determining the costs of funds and materials.

Volume of construction logs: how many logs are in one cube?

How many logs are in one cube: calculation - Photo

Log structures are and will be relevant. Determination of volume round material depends on the method of obtaining it.

• Hand-barked construction logs.
• Construction logs, rounded on special machines.

A section of a trunk for manual trimming has the shape of a slightly truncated cone, so the formula for the volume of a cylinder is used, but with some features.

3.14 * r 2 * L = log volume, m3

Here
r- averaged radius, calculated as (r 1 +r 2)/2, r 1 - radius from one end of the log, r 2 - radius from the other end of the log.
L- log length.
3,14 - constant "Pi".

A rounded log naturally has a cylindrical shape and is calculated using the above formula. But here the radius is measured at any end once. Determining the number of logs in 1 cube is determined similarly to timber.

1 / (3.14 * r 2 * L) = Number of logs in 1m3 (cube)

Blanks for construction logs are measured in the same way.

The radius (diameter divided in half) is measured without taking into account the thickness of the tree bark. In practice, manual calculations are not carried out. They use special tables compiled in a cubic book. They are also available in electronic form.

In conclusion, it should be noted that lumber for critical work, standard in size, wood species and moisture content, should be purchased at large sites. Small producers, as a rule, are not allowed there due to the lack of appropriate control over the quality of their products.

There are dozens of professions in the world related to wood, and specialists must be able not only to select and process wood correctly, but also to calculate everything. Every specialist should know how to calculate the cubic capacity of a board, because... This step is basic before starting construction.

The main stage of work

It is a little more difficult to calculate than an edged one, due to the fact that it has not 3 indicators, but 4. Often sellers try to provide their own cubeturners, which specifically indicate incorrect data, so everything always needs to be recalculated.

The volume of any lumber is calculated according to the standard school formula - V=abc, where a is width, b is height, c is length. Thus, let the edged board have parameters of 50x150x6000 mm, which are converted into meters, it turns out 0.05x0.15x6 = 0.045 m³ Everything is extremely simple and clear.

But with unedged boards everything is a little more complicated, because... The width at the bottom and top is different. Using a tape measure, measurements are taken of the width of the board from the bottom and top, after which the data is reduced to the arithmetic mean. Thus, the volume formula will look like: V=(a1+a2)/2bc, where a1 is the width of the lower edge, a2 is the width of the upper edge, b is the height and c is the length. In practice, let the top edge (narrow) be 150 mm, and the bottom 180 mm, height 50 and length 6000 mm, i.e. V=(0.15+0.18)/2x0.05x6=0.0495 m³. It is this data that will be used further for all calculations.

This data can already be used to calculate the amount of lumber per 1 m³. To do this you need 1/0.0495=20 pcs. Everything that remains after the decimal point must be rounded to form a whole number. The volume of lumber is calculated individually each time so that errors can be avoided.

An error is often identified when the wide side is taken as a basis, and the narrow side is not taken into account, which gives a small visible error for the client (1-2 pieces per 1 m³), ​​but the seller wins a significant profit. If 1 m³ leaves 1 board, then from every 19 m³ another 1 m³ remains, which already brings excess profits. And taking into account the required volumes of material, even for 1 house, this 5% pays off very seriously.

For example, here is a simple table where the widths are 150 and 180, and only the length and height differ:

Summarizing

The calculations themselves are not complicated, because are carried out according to formulas studied at school. But during the process, it is very important to approach the process with maximum scrupulousness in order to avoid mistakes.

Only initially the process may seem complicated, but after 5-10 approaches everything will seem easier.