Convert lumber to cubic meters. Cutting board. Calculation of the volume and number of boards for different sizes

Getting ready for construction frame house, the construction of the roof and the assembly of the crowns of the log house, the developer has to deal with the purchase of timber.
This material is used for the manufacture of various wooden structures, so its assortment includes dozens of items. To eliminate errors, you need to determine as accurately as possible how much timber is in a cubic meter.

The "mathematical model" of this operation is simple. To calculate the volume of any rectangular object, its length is multiplied by its width and height. However, in practice, when buying a large number timber of different lengths and sections can get confused and overpay a considerable amount.

In this article, we will talk about the important nuances of calculating the volume of sawlogs and give easy-to-use cheat sheets for converting linear meters of timber into cubes.

Be careful at the timber warehouse!

Given the high cost of edged timber, its purchase must be treated responsibly. Sellers, as a rule, use the price per 1 m3. Customers in the calculation truss system roofs, wall frames, floor beams and floors receive running meters. Additional confusion is introduced by production length standards, which range from 3 to 6 meters (0.5 meter increments).

It is not difficult to put everything “on the shelves” in this matter. Let's say that for construction you need a bar with a section of 100x50 mm, and its total length is 100 running meters (p / m). To calculate the volume of edged wood, you need to convert the cross-sectional area from millimeters to square meters and then multiply them by the length: 0.1x0.05x100 = 0.50 m3. We get the price of a given amount of timber by multiplying its volume by the cost of one cubic meter.

And here is another equally important question: how to control the amount of sawlogs that the seller releases to you? Here it is necessary to take into account not only the cross section, but also the length of the material.

Let's say that we need a beam 4 meters long (total length 100 p / m). In this case, the volume of one piece will be equal to: 0.1x0.05x4 = 0.02 m3. Dividing the purchased amount of material (0.5 m3) by the volume of one bar (0.02 m3) we get exactly 25 pieces.

In practice, round numbers are rare, so the required amount of timber most often turns out to be fractional. We will not give the seller that part of the lumber that remains after the decimal point. Better pay him up to a whole number of bars.

Consider an example. 63 linear meters of timber are purchased (section 100x180 mm, length 6 meters). We consider the purchase volume: 63x0.1x0.18 = 1.134 m3. We divide it by the volume of one bar (0.1x0.18x6 m / n \u003d 0.108 m3). We get 1.134 / 0.108 = 10.5 pieces. The seller will not cut half the timber for us. Therefore, when calculating, you need to pay him up to a whole amount and pick up 11 bars.

With a profiled beam, the cross section of which has a complex shape, they proceed in the same way as with a regular one. To determine the cross-sectional area of ​​a given material, its total height (the distance from the bottom edge with the groove to the top mark of the spike) is multiplied by the width.

Considering the amount of timber in 1m3 in the warehouse, take a tape measure and measure the actual cross section of the purchased material. It may turn out that instead of the 100x200 or 150x150 mm promised by the seller, he was delivered thinner material. Even 1 centimeter reduction in the transverse size of the sawlog results in significant losses for the buyer.

Another important nuance- technological deviation of the length of the beam. It can reach 5-7 centimeters, since the ends of the logs are not cut off during processing. Remember that the seller does not have the right to add these extra centimeters to the total length.

Tables for quick calculation of the volume of timber

It is not always convenient to count on a calculator how many pieces of timber in a cube, especially when buying a large batch. The seller's data can be easily controlled using ready-made tables. Here, for standard sizes of sawlogs, information is given on the volume of 1 beam and the number of pieces in 1m3.

Table for counting edged timber 6 meters long

Dimensions (mm) Volume of 1 piece (m3) Pieces per 1 m3
100x100x6000 0,06 16
100x150x6000 0,09 11
100x180x6000 0,108 9
100x200x6000 0,12 8
150x150x6000 0,135 7
150x180x6000 0,162 6
150x200x6000 0,18 5,5
180x180x6000 0,1944 5
180x200x6000 0,216 4,5
200x200x6000 0,24 4
250x200x6000 0,3 3

This table can also be used when buying a 3-meter beam. To do this, the volume of 1 piece must be halved, and the amount of material in one cube multiplied by 2.

Recall that, by definition, lumber is considered to be lumber with a thickness and width of 100 mm or more. Therefore, we deliberately did not include the dimensions of wooden blanks of a smaller section in the table in order to maintain formal accuracy.

Let's look at the data on the volume and number of boards of running sizes in a separate table:

Dimensions (mm) Volume of 1 piece (m3) Pieces per 1 m3
25x100x6000 0,015 66,6
25x150x6000 0,0225 44,4
25x200x6000 0,03 33,3
40x100x6000 0,024 41,6
40x150x6000 0,036 27,7
40x200x6000 0,048 20,8
50x50x6000 0,015 66,6
50x100x6000 0,03 33,3
50x150x6000 0,045 22,2
50x200x6000 0,06 16,6
50x250x6000 0,075 13,3

To calculate the volume and quantity of a 4-meter beam, you can use the following cheat sheet:

Dimensions (mm) Volume of 1 piece (m3) Pieces per 1 m3
100x100x4000 0,04 25
100x150x4000 0,06 16,66
100x180x4000 0,072 13,88
100x200x4000 0,08 12,5
150x150x4000 0,09 11,11
150x180x4000 0,108 9,26
150x200x4000 0,12 8,33
180x180x4000 0,13 7,69
180x200x4000 0,144 6,94
200x200x4000 0,16 6,25
250x200x4000 0,2 5

As can be seen from the table, almost the entire range of bars here turns out to be fractional. Therefore, for an economical purchase, you should use our advice on paying the seller up to the whole amount of timber.

How to do it practically? Let's take an example. Let's say that we bought one cubic meter of a 4-meter beam with a section of 100x180 mm (according to the table, 13.88 pieces are obtained). The price of 1m3 is 6500 rubles. Up to 14 pieces of bars, we need to pay extra 14-13.88 = 0.12. The volume of this "piece" is (0.12 x 4 meters = 0.48 m) x 0.1 x 0.18 m = 0.00864 m3. We multiply it by the price of 1 m3 and get 0.00864 m3 x 6500 rubles. = 56.15 rubles.

Remember that the purchased volume of bars must include a margin (loss during cutting during operation). Therefore, the result obtained in the process of theoretical calculation of the roof truss system or other wooden structure, must be multiplied by a factor of 1.3. After this adjustment, you can start settlements with the seller.

In addition to determining the volume and price of the purchased material, you need to know the weight of 1 m3 of timber in order to order transport of the appropriate carrying capacity.

The weight of a cubic meter of timber depends on the type of wood and its moisture content. The approximate weight of 1 m3 of dry pine is 510 kg (raw - 890 kg).

The average weight of one cube of dry spruce bars is 450 kg (raw - 790 kg).

The weight of dried oak wood is in the range from 700 to 800 kg/m3, and wet (freshly cut) - from 980 to 1030 kg/m3.

Dry larch timber weighs 650 kg/m3. Freshly sawn material of this type of wood weighs 840 kg/m3.

On this page you can calculate the number of boards in one cubic meter. Also shown is a table of standard sections of lumber and a table of the number of boards (beams) in 1 cube for a length of 6 meters.

Calculator for calculating the number of boards (beams) in one cubic meter by section and length

ANSWER: in one cube 0 pcs

The calculator knows the number of boards (beams) - how many cubes is it?

ANSWER: such boards (beams) are 0 m3 worth 0 rubles

Table of standard sizes of sections of boards and timber.

Sections of boards and timber have standard dimensions that correspond to GOST 24454-80 "Softwood lumber. Dimensions"
Thickness, mm Width, mm
16 75 100 125 150 - - - - -
19 75 100 125 150 175 - - - -
22 75 100 125 150 175 200 225 - -
25 75 100 125 150 175 200 225 250 275
32 75 100 125 150 175 200 225 250 275
40 75 100 125 150 175 200 225 250 275
44 75 100 125 150 175 200 225 250 275
50 75 100 125 150 175 200 225 250 275
60 75 100 125 150 175 200 225 250 275
75 75 100 125 150 175 200 225 250 275
100 - 100 125 150 175 200 225 250 275
125 - - 125 150 175 200 225 250 -
150 - - - 150 175 200 225 250 -
175 - - - - 175 200 225 250 -
200 - - - - - 200 225 250 -
250 - - - - - - - 250 -

Table how many 6 meter boards in one cube

For boards with a standard length of 6 meters, the following table is calculated. Timber of small sections available in retail of course less than 6 meters. This is usually 3 m or 2.5 m. Use the calculator at the top of the page to calculate the number of any custom sizes.
No. p / p Section size, mm Length, mm Quantity in 1 cube, piece The area that can be sewn up using 1 cube, m2
1 16x75 6000 138,89 62,50 2 16x100 6000 104,17 62,50 3 16x125 6000 83,33 62,50 4 16x150 6000 69,44 62,50 5 19x75 6000 116,96 52,63 6 19x100 6000 87,72 52,63 7 19x125 6000 70,18 52,63 8 19x150 6000 58,48 52,63 9 19x175 6000 50,13 52,63 10 22x75 6000 101,01 45,45 11 22x100 6000 75,76 45,45 12 22x125 6000 60,61 45,45 13 22x150 6000 50,51 45,45 14 22x175 6000 43,29 45,45 15 22x200 6000 37,88 45,45 16 22x225 6000 33,67 45,45 17 25x75 6000 88,89 40,00 18 25x100 6000 66,67 40,00 19 25x125 6000 53,33 40,00 20 25x150 6000 44,44 40,00 21 25x175 6000 38,10 40,00 22 25x200 6000 33,33 40,00 23 25x225 6000 29,63 40,00 24 25x250 6000 26,67 40,00 25 25x275 6000 24,24 40,00 26 32x75 6000 69,44 31,25 27 32x100 6000 52,08 31,25 28 32x125 6000 41,67 31,25 29 32x150 6000 34,72 31,25 30 32x175 6000 29,76 31,25 31 32x200 6000 26,04 31,25 32 32x225 6000 23,15 31,25 33 32x250 6000 20,83 31,25 34 32x275 6000 18,94 31,25 35 40x75 6000 55,56 25,00 36 40x100 6000 41,67 25,00 37 40x125 6000 33,33 25,00 38 40x150 6000 27,78 25,00 39 40x175 6000 23,81 25,00 40 40x200 6000 20,83 25,00 41 40x225 6000 18,52 25,00 42 40x250 6000 16,67 25,00 43 40x275 6000 15,15 25,00 44 44x75 6000 50,51 22,73 45 44x100 6000 37,88 22,73 46 44x125 6000 30,30 22,73 47 44x150 6000 25,25 22,73 48 44x175 6000 21,65 22,73 49 44x200 6000 18,94 22,73 50 44x225 6000 16,84 22,73 51 44x250 6000 15,15 22,73 52 44x275 6000 13,77 22,73 53 50x75 6000 44,44 20,00 54 50x100 6000 33,33 20,00 55 50x125 6000 26,67 20,00 56 50x150 6000 22,22 20,00 57 50x175 6000 19,05 20,00 58 50x200 6000 16,67 20,00 59 50x225 6000 14,81 20,00 60 50x250 6000 13,33 20,00 61 50x275 6000 12,12 20,00 62 60x75 6000 37,04 16,67 63 60x100 6000 27,78 16,67 64 60x125 6000 22,22 16,67 65 60x150 6000 18,52 16,67 66 60x175 6000 15,87 16,67 67 60x200 6000 13,89 16,67 68 60x225 6000 12,35 16,67 69 60x250 6000 11,11 16,67 70 60x275 6000 10,10 16,67 71 75x75 6000 29,63 13,33 72 75x100 6000 22,22 13,33 73 75x125 6000 17,78 13,33 74 75x150 6000 14,81 13,33 75 75x175 6000 12,70 13,33 76 75x200 6000 11,11 13,33 77 75x225 6000 9,88 13,33 78 75x250 6000 8,89 13,33 79 75x275 6000 8,08 13,33 80 100x100 6000 16,67 10,00 81 100x125 6000 13,33 10,00 82 100x150 6000 11,11 10,00 83 100x175 6000 9,52 10,00 84 100x200 6000 8,33 10,00 85 100x225 6000 7,41 10,00 86 100x250 6000 6,67 10,00 87 100x275 6000 6,06 10,00 88 125x125 6000 10,67 8,00 89 125x150 6000 8,89 8,00 90 125x175 6000 7,62 8,00 91 125x200 6000 6,67 8,00 92 125x225 6000 5,93 8,00 93 125x250 6000 5,33 8,00 94 150x150 6000 7,41 6,67 95 150x175 6000 6,35 6,67 96 150x200 6000 5,56 6,67 97 150x225 6000 4,94 6,67 98 150x250 6000 4,44 6,67 99 175x175 6000 5,44 5,71 100 175x200 6000 4,76 5,71 101 175x225 6000 4,23 5,71 102 175x250 6000 3,81 5,71 103 200x200 6000 4,17 5,00 104 200x225 6000 3,70 5,00 105 200x250 6000 3,33 5,00 106 250x250 6000 2,67 4,00

When building a cottage or a house, the master, by necessity, performs many different tasks. He thinks through all the construction processes, draws up the necessary estimate for each of them. Calculate the correct amount necessary materials not so easy. This requires knowledge of mathematics. He must know: how many boards are in 1 cube, how many and so on. If he has such knowledge, then it's great! He is a real master!

And for an ignorant person, “how many boards are in a cube” is an abstract concept. In order to understand it, one must know exactly what it is. Construction Materials made from wood. What are they, how are they measured? Without knowing this, he will not be able to adapt in these calculations.

Edged or tongue-and-groove, as well as other types of lumber

The first thing to learn is that it is not so important from which wood exactly this or that material was made. Let the boards are not the same, but their calculations will completely coincide. Let them different varieties, various sizes, the calculation is still carried out according to the same principle. It's still wood, and it will be measured the same way! It can only determine how many boards are in 1 cube each time it will be different. Regardless of whether edged or tongue-and-groove, cylindered, etc. calculation will be the same.


Grooved lumber- different beams, edged materials, their non-edged counterparts, this is the case when their cubic capacity is calculated in a completely different way! These products have grooves, spikes. They are intended for docking between forest units among themselves. Such products include:

  • blockhouses;
  • floor material;
  • imitation of various timber.

When purchasing such a grooved one, the circumstance should be taken into account. When calculating the cubic capacity, only the working width of the beam should be taken. The spike is not taken into account here. And when calculating the cubic capacity of a blockhouse, which can imitate a log, one should take into account its thickness, which it has at a high point.

Examples of calculations using formulas for the volume of 1 m3 of wood, as well as price comparison

Since the time of school, any specialist has known exactly how to calculate the cubic capacity or how many boards are in 1 cube. To do this, you need to find the product of 3 quantities: height, length, width. The same method is used to calculate the cubic capacity of a unit. Making calculations more convenient to immediately translate the parameters into the value of "Meter".

For example, the cubature of a unit of material having a length of 6 m and a cross section of 150x25 is calculated as follows: 0.15 m x 0.025 m x 6 m;

The formula we are going to calculate is: V= L*h*b (where L is length, h is height, b is width)

As a result of calculations, 0.0225 m3 is obtained. This is the cubic capacity of one product. If you want to know the cost, then 0.0225 must be multiplied by the cost of 1 cubic meter. After the calculations, it turns out that if we skip it, the cube will cost 6500 rubles. And the price of one of them will be 146 rubles. 25 kop. Here, for ignorant people, there is a little trick of sellers.

Usually, cubature can be rounded up to 0.023. And this means that lumber will cost 149 rubles for the buyer. 50 kop. Sometimes unscrupulous sellers can round off a cubic capacity with a size of 150x50 mm to about 0.05 m3. But if all calculations are performed correctly from the very beginning, it turns out that with a correct calculation, the result is only 0.045 m3.

It seems, so what, someone will say! The numbers are small, but the result is stunning! Such rounding will unwittingly lead only to the fact that the unit price will already be 325 rubles. instead of 292 rubles. 50 kop. And these calculations are performed considering that the price of a cube is 6500 rubles.

In addition, it is also necessary to know and take into account that boards having a nominal length of 6 m actually have a length of 6.1-6.2 m. This should not be taken into account when selling lumber! Sometimes customers may ask to know: how many boards are in a cube. This applies to the acquisition of more boards.

Everything is perfectly visible on the example of purchasing boards with dimensions of 150x25 mm, where their number in a cube is 44.4. But still, most often only 44 boards are considered a cube. And with the correct calculation, this amount is listed as 0.99 m3. In reality, an overpayment is obtained for 1 cubic meter. It is approximately 1% of its initial cost. It will look like this: that instead of 6435 rubles. for 1 cubic meter there will be a cost of 6500 rubles.

The volume of unedged wood is calculated in a completely different way. If you buy one of them, then measurements of its thickness and length are performed just as accurately as for edged lumber. But here its width is taken as an average. That is, it is between the smallest and the largest. Example: at one end it is 30 cm wide, and at the other about 15 cm, then to calculate the cubature given parameter will be 22-23 cm.

If you need to know the volume a large number timber or determine how many boards will be in volume, they should be laid out in piles. But so that the widest of them would not differ from the narrowest by more than 10 cm. In such a pile, their length should match. But this is only an approximation! After that, with a tape measure, you need to measure the height of the stack and its width. These measurements are taken somewhere in the middle, the same applies to length.

The result of the calculation should be multiplied by the coefficient. It ranges from 0.07 to 0.09. It depends on the air gap that exists between the material. When performing calculations, the larger the gap, the smaller the coefficient is taken. If it has the same dimensions, then you can determine the number of boards in the cube.

By the way, for such calculations there are special tables in the textbooks of builders. Similar tables exist for almost all lumber, from and ending. In them, the cubature of common types of timber or other types is indicated. And it is not difficult to calculate the volume of boards, for example, for a fence! You can use the above formula yourself!

Performing a calculation according to the table of timber of standard length 6 meters

Determine how many pieces of boards in a cubic volume according to a special table

The size Volume of 1 piece Pieces per 1 m³ m² to 1 m³
20×100×6000 mm 0.012 m³ 83 pcs. 50 m²
20×120×6000 mm 0.0144 m³ 69 pcs. 50 m²
20×150×6000 mm 0.018 m³ 55 pcs. 50 m²
20×180×6000 mm 0.0216 m³ 46 pcs. 50 m²
20×200×6000 mm 0.024 m³ 41 pcs. 50 m²
20×250×6000 mm 0.03 m³ 33 pcs. 50 m²
25×100×6000 mm 0.015 m³ 67 pcs. 40 m²
25×120×6000 mm 0.018 m³ 55 pcs. 40 m²
25×150×6000 mm 0.0225 m³ 44 pcs. 40 m²
25×180×6000 mm 0.027 m³ 37 pcs. 40 m²
25×200×6000 mm 0.03 m³ 33 pcs. 40 m²
25×250×6000 mm 0.0375 m³ 26 pcs. 40 m²
30×100×6000 mm 0.018 m³ 55 pcs. 33 m²
30×120×6000 mm 0.0216 m³ 46 pcs. 33 m²
30×150×6000 mm 0.027 m³ 37 pcs. 33 m²
30×180×6000 mm 0.0324 m³ 30 pcs. 33 m²
30×200×6000 mm 0.036 m³ 27 pcs. 33 m²
30×250×6000 mm 0.045 m³ 22 pcs. 33 m²
32×100×6000 mm 0.0192 m³ 52 pcs. 31 m²
32×120×6000 mm 0.023 m³ 43 pcs. 31 m²
32×150×6000 mm 0.0288 m³ 34 pcs. 31 m²
32×180×6000 mm 0.0346 m³ 28 pcs. 31 m²
32×200×6000 mm 0.0384 m³ 26 pcs. 31 m²
32×250×6000 mm 0.048 m³ 20 pcs. 31 m²
40×100×6000 mm 0.024 m³ 41 pcs. 25 m²
40×120×6000 mm 0.0288 m³ 34 pcs. 25 m²
40×150×6000 mm 0.036 m³ 27 pcs. 25 m²
40×180×6000 mm 0.0432 m³ 23 pcs. 25 m²
40×200×6000 mm 0.048 m³ 20 pcs. 25 m²
40×250×6000 mm 0.06 m³ 16 pcs. 25 m²
50×100×6000 mm 0.03 m³ 33 pcs. 20 m²
50×120×6000 mm 0.036 m³ 27 pcs. 20 m²
50×150×6000 mm 0.045 m³ 22 pcs. 20 m²
50×180×6000 mm 0.054 m³ 18 pcs. 20 m²
50×200×6000 mm 0.06 m³ 16 pcs. 20 m²
50×250×6000 mm 0.075 m³ 13 pcs. 20 m²

Video on calculating lumber in a cube using formulas and tables

An unedged board has a large run-up in width at opposite ends, therefore, when calculating an unedged board, the average width must be substituted into the formula. The average width of unedged boards is measured at the middle of the length as half the sum of the widths of both layers (board ends), excluding bark and bast. The measurement result is rounded up to 10 mm, fractions up to 5 mm are not taken into account, and fractions of 5 mm or more are considered as 10 mm.

Unedged board: what is it

Unedged boards are the first boards removed from the trunk. Its edges are not trimmed and have a wane, which is unacceptable for an edged board. Unedged boards have bark on the side edges. The first board removed from the trunk has the most bark. The standard thickness of unedged boards is 25, 40, 50 mm, and the length is 6 m. Unedged boards are the cheapest of all boards. Therefore, they are used for scaffolding, sheathing, roof battens, components load-bearing structures, decking, rough floors, for firewood. In order to unedged boards did not begin to rot from them, you need to remove the bark, dry and treat with an antiseptic.

Getting Started Building or Renovating wooden house, have to buy various boards, while the buyer knows the total length, but the seller releases the lumber by volume. This article will help you correctly determine the number of any boards in one cubic meter, which will help you avoid buying too much lumber.

How to calculate the volume of edged boards

Determining the volume of one board is done in the same way that was used in school - by multiplying the length by the width and thickness. Or by multiplying the width by the length and thickness. It doesn't matter in which order you multiply the dimensions of the board, the result will always be the same. For example, a standard fifty-fifty board has the following dimensions:

  • length 6 meters;
  • width 20 centimeters;
  • thickness 5 centimeters.

To facilitate multiplication, it is necessary to convert all dimensions to common units - meters or centimeters. It is easier to carry out these calculations in meters, then you do not have to divide the resulting number by a million in order to convert to cubic meters.

  1. As a result of multiplication, we obtain the volume of one board of 0.06 cubic meters.
  2. After that, we divide the unit by 0.06 and get the number of boards in one cubic meter.
  3. We get the number 16.6666, which must be rounded to the nearest integer, that is, up to 16, which will be the number of "fifty" boards in one cubic meter. It is always necessary to round down, because some of the boards may turn out to be a little wider or thicker, they may not be tightly stacked, or several boards from the package will turn out to be twisted. If all the boards turn out to be normal, then fractions can also be taken into account, this is especially true for a thick beam.

Table of standard volume values

For your convenience, we have created a table with the most common sizes of boards and timber, as well as their number in one cubic meter.

Size in mm

The volume of one board cubic meters.

The number of boards in one cubic meter