How to correctly calculate the cubic capacity of an unedged board? How to calculate the required volume of the board? How to calculate the volume of one board in m3.
There are dozens of professions in the world related to wood, and specialists must be able not only to choose and process wood correctly, but also to calculate everything. Every specialist should know how to calculate the cubature of a board, because. this step is basic before starting construction.
Main stage of work
Calculating is a little more difficult than edged, due to the fact that it does not have 3 indicators, but 4. Often, sellers try to provide their own cubes, where incorrect data is specifically indicated, so everything always needs to be recalculated.
The volume of any lumber is calculated according to the standard school formula - V \u003d abc, where a is the width, b is the height, c is the length. Thus, let the edged board have parameters of 50x150x6000 mm, which are translated into meters, it turns out 0.05x0.15x6 = 0.045 m³ Everything is extremely simple and clear.
But for an unedged board, everything is a little more complicated, because. The bottom and top widths are different. Using a tape measure, the width of the board is measured from the bottom and top, after which the data are reduced to the arithmetic mean. Thus, the volume formula will look like: V=(a1+a2)/2bc, where a1 is the width of the bottom edge, a2 is the width of the top edge, b is the height and c is the length. In practice, let the upper edge (narrow) be 150 mm, and the lower 180 mm, height 50 and length 6000 mm, i.e. V \u003d (0.15 + 0.18) / 2x0.05x6 \u003d 0.0495 m³. It is these 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 \u003d 20 pcs. Everything after the decimal point must be rounded off to make an integer. The volume of lumber is calculated individually each time so that errors can be avoided.
Often an error is revealed when the wide side is taken as the basis, and the narrow side is not taken into account, which gives a small visible error for the client (1-2 pieces from 1 m³), but the seller wins a significant profit. If 1 board remains from 1 m³, then from every 19 m³ there is still 1 m³ left, which already brings super profits. And taking into account the required volumes of material, even for 1 house, these 5% pay off very seriously.
For example, a simple table will be given, where the width indicators are 150 and 180, and only the length and height differ:
Summarizing
The calculations themselves are simple, because are carried out according to the 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.
Repair and construction work often involves the use of lumber. But shops, timber trading bases sell them more often not in pieces, but in cubes.
Everything is very simple and fast.
Method for calculating edged lumber
- caliper, tape measure or folding m, with known parameters of the length of wood products, you can limit yourself to a regular ruler;
- calculator - a mobile phone, a smartphone will do, if there may be problems with the account “in the mind”;
- a piece of paper and a pencil - to record the results of the calculations, how many boards are in the cube.
- Volume = Length × Height (product thickness) × Width.
To prevent confusion when converting cubic centimeters to cubic meters, it is more convenient to immediately record the measurement results in meters.
For example, 0.132 cu. m = 6 m × 0.022 m (2.2 cm) × 0.10 m (10 cm).
Now, to determine the number of boards in a cube, you need 1 cube. m divided by 0.132. The result obtained (7, 5757) when purchasing timber must be rounded up to 8 pieces.
This method of calculating cubic capacity is also suitable for timber. So you can determine how many cubes of timber you need to purchase if you know the required number of products, or, conversely, determine the required number of cubes.
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How to calculate the cube of an unedged board?
To determine the required volume of timber, the easiest way is to carry out calculations similar to the above method. Only the final result needs to be multiplied by 1.2 - a correction factor. From unedged boards you can get no more than 70-80% of edged boards.
The width and thickness of each product is measured taking into account its further processing. The technique will help determine the number of cubes of wooden products needed for work, if the final result is planned for their further processing - trimming.
When buying, the widest and thinnest boards are measured to obtain an average width. If the width of the lumber at the butt is wider than at the top, the arithmetic mean of their dimensions is used without taking into account the bast layer or bark, rounded up to 10 mm. In this case, fractions from 5 mm are rounded up to full 10 mm, and fractions up to 5 mm are not taken into account. The length and thickness of lumber are measured in the usual way. The volume of timber is determined according to the usual scheme:
- the volume of one product is calculated;
- the total cubic capacity of the purchased timber is determined; according to GOST, correction factors are used: 0.96 - for sawn softwood, 0.95 - for sawn hardwood.
In addition to the piece-by-piece method for determining the volume of unedged lumber, a geometric method can be used.
Requirements for a package of unedged timber:
- lumber is laid tightly, without overlaps, in horizontal rows;
- on one side the ends of the boards are aligned;
- all sides of the package are strictly vertical: according to GOST, the displacement of individual products outward, inward should not exceed 0.10 m;
- the entire length of the lumber package must be of the same width.
Then the volume of the package is calculated, the result is multiplied by the coefficient:
Almost everything in our world has its own measurement value. We measure oil in barrels, coal in tons, the population of countries in thousands, millions.
We take as a basis a value that can specifically designate the object that we measure. When the question arises of how to calculate the cubature of a board, we are no longer talking about the mass of an object, since wood has a completely different density, and one tree has differences from another. In addition, boards of the same breed will have different weights depending on their moisture content.
For the convenience of calculating the cubature of the board, volume measurement formulas are used.
It is enough to recall school mathematics and the necessary formula by which to multiply the width, length and height. For the calculation to be correct, it is necessary to adjust all parameters to one value, for example, in centimeters or decimeters. It is most convenient to take meters as a basis. Thus, having multiplied three times in meters, we get m³ or cubic capacity.
Note. To calculate the cubature of the board, special formulas are used.
cubature boards
Boards may have differences in width, length, thickness. In addition, they are sold unedged and edged. Often, lumber has its own generally accepted standards, which make it easier to calculate cubic capacity.
For ordinary material sizes, there are already calculated volumes, which are systematized in tables for measuring the cubature of boards. Therefore, to determine the volume of the material, you simply need to open the table with the indicated dimensions and calculate the volume.
But, in order to do this, you must have these tables with you. Otherwise, in the absence of such, the cubature of the edged board is calculated, having previously determined the thickness and length. These are the main dimensions that meet the requirements for lumber. Each individual material is different. For example, a board with a thickness of 25 mm is used to create a crate, and 50 mm for subfloors. Next, you need to measure the width of the board.
In the case of a cut board, everything is simple, since the material is cut to give one width. Further, using a calculator, all values \u200b\u200bare multiplied among themselves. With a board length of 5 m, a thickness of 50 mm and a width of 25 cm, the volume of the material will be:
5 x 0.050 x 0.25 = 0.0625 m³
After multiplying the resulting number by the number of boards, we get the total volume of material.
The formula for calculating the cubature of boards
V = L x h x b
L - length
h - height
b - width
Determination of the number of boards in a cubic meter
1 m 3: V = N
In order to determine the cost of a particular type of board, with known volume values: V x price 1 m 3.
There is one more point that you need to pay attention to when determining the cubature of boards - the nominal length is exactly 6.1 - 6.2 m, but this is not taken into account when selling. Often this is important in the case of buying a large amount of material. For example, let's take a board with dimensions of 150 x 20 mm.
Having made simple calculations, we get the number of boards in 1 m 3 - 55, 5 pieces. So, in the cubature of the board 6 m there are exactly 55 pieces, in total, when calculating, we get the value of 0.99 m 3. In essence, the overpayment for the cubature of the board will be 1% of the exact price. For example, at a cost of 4,995 rubles, we pay 5,500 rubles.
Unedged board
Calculation features
The calculation of the cubic capacity of an unedged board is somewhat complicated, since the material does not have the same width between different boards, but also in each board individually. This is explained quite simply - the tree does not have the same diameter.
It is clear that it is wider at the bottom, narrower at the top. Thus, the width of the edged board does not fall under any standards. How to be in this case? Use different formulas to calculate. The width of the board is measured for convenience in the middle of the length. This is how you get the average width. This counting method works well if the batch of material is small.
For industrial volumes
This method is not suitable, because the work will be very slow, and this is not profitable. For such cases, experts have developed the so-called unedged board cubature. The volume in it is obtained by measuring and experimenting, in other words, using many measurements and calculating the average value of the width.
Of course, this cannot be called a super accurate way, but the deviations are so small that they should not be paid attention to.
Some wood processing companies use the stack measurement method in practice. To do this, it is not necessary to pre-sort the wood according to width. Specialists take measurements of the length of the board, the average width and height of the stack. The obtained values are multiplied among themselves, and the result is multiplied by a coefficient for calculating the cubature of the board, which has an average value of 0.67.
Weighing method
In order to measure the cubic capacity of an unedged board, obtaining the most accurate result possible, the weighing method is used.
Before doing this, it is necessary to measure the moisture content of the material and dense wood. Considering that the edged board is the cheapest material used on objects with the least degree of responsibility, complex calculations are not very justified.
Also, it should be noted that the result that you get will not be very different from the one that can be obtained using the cube.
During the construction of residential buildings
Here, professionals in their field are required to perform many tasks, including: calculation and budgeting before finishing the premises. In addition, you need to calculate the required amount of building materials. It should be noted that this task is quite difficult. With this in mind, determining the cubature of the board is an important point.
Note. A cubic meter of lumber is calculated using a single method. The type of board does not affect the result.
To non-grooved types wood include: edged board, unedged board.
tongue-and-groove types- these are those that have special grooves for the perfect joining of the boards: flooring, lining,. Please note that when purchasing a tongue and groove board, the calculation is carried out using the working width of the material, without spikes.
Regarding the calculation of the cubature of an unedged board, with a width of one end of 25 cm, and 20 cm of the other, the average value will be 22 cm. To calculate a large amount of material, it is laid out in such a way that the wide part does not differ from the narrow one by more than 10 centimeters.
The main length of the board in the unfolded bundle should be approximately the same. Then, using a tape measure, measure the height of the stack of boards and the width in the middle. The result, which is obtained during measurements, is multiplied by a coefficient with a value of 0.07 - 0.09, which depends on the air gap between the boards.
Buying materials by eye is nonsense, and no self-respecting owner will do this. In order to competently draw up an estimate and estimate how much construction or overhaul will result in, you need to determine how much this or that product will be needed. It is more difficult with boards - they are not sold by the piece, but are released (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 covered area, that is, to m². Let's figure out how to determine how many boards will be in one cube.
Why boards exactly 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 “running”. Manufacturers are guided by the dimensions of platforms and freight cars, so it is more profitable for them to supply boards with a length of 6 m. But the buyer is more interested in boards of four meters in length, since a truck with an extended body is enough to transport them.To transport 6 meter boards, you need a road train; This means that the cost of delivering lumber to the site will increase. And the maneuverability of such vehicles is significantly limited. For example, it makes no sense to deliver boards on it to a summer cottage, given the narrowness of the lanes.
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 measure of volume) is the product of the linear parameters of any volumetric object. That is, its length, width and height (in this case, thickness).
- The edges of one of the boards in the stack are measured. It turns out the width and thickness. The length is known - 4 or 6 m.
- All measured parameters are converted into one dimension. Since we are talking about a cube, that is, m3, then 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.
In the numerator of the fraction, it is not necessary to put exactly 1. The warehousing of boards is done in different ways, and lumber in such quantities is not always required. If there are 0.8 cubic meters in a stack, then this is its volume.
Example. A board is bought 6 m, 25 mm, 20 cm wide, in the amount of one cube.- We make the conversion of values in meters: thickness - 0.025, width - 0.2.
- We determine the cubature of the board: 6 x 0.2 x 0.025 \u003d 0.03 m³.
- We calculate the number of samples - 1: 0.03 = 33, (3).
Calculator for calculating the amount and volume of lumber
If the received value is a fractional value, then the result is always rounded up to an integer value. That is, only the numbers before the decimal point are taken into account. This is the 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 of this group, regardless of their characteristics - wood species, degree of drying.
- Table values are purely indicative, as they do not quite 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 the processing of the workpieces (whether they are edged or not). Thirdly, it is not a fact that, upon careful examination, a certain number of boards will not be rejected due to defects found. Therefore, it is always necessary to slightly reduce their number obtained by calculation. If the board is edged - by about 10%, in the case of unedged - by 15 - 20%.
Timber and board - one of the oldest building materials, but it does not lose its relevance today. At the same time, the cost of these lumber makes buyers carefully approach the accuracy of calculating their required quantity.
Now you can find the necessary tables for calculating the required number of cubic meters of building materials on the World Wide Web, but a skilled owner should be able to calculate it on his own.
How many boards are in a cube 50 by 150 by 6000
As you probably already understood, the calculation of lumber is carried out in cubic meters. At the same time, the cube of the board and the beam can have different overall dimensions. Therefore, for an accurate purchase, you need to understand the size of this cube for a more accurate calculation. The most common lumber cube has dimensions of 50x150x6000 mm.
We calculate the required volume easily and simply
It is very easy to calculate cubic meters of a board or a bar. To do this, you need to have elementary knowledge of geometry, which we were told back in school. Thus, to determine the desired cubature, you must initially multiply the width (l), thickness (s) and length (b) indicators.
For instance: s boards × l boards x b boards = 50 mm × 150 mm x 6000 mm = 45000 cm/cube.
We remember that a cubic meter is equal to 1,000,000 cubic meters, that is, 100 cm x 100 cm x 100 cm.
1000000 cc/cm: 45000 cc/cm = 22.22 pieces boards in one cube.
How many boards in 1 cube table 6m:
| Board size | Volume of the 1st board | Boards in the 1st cube in pieces | Square meters in the 1st cube |
|---|---|---|---|
| fifty | |||
| Board 50x 100x 6000 | 0.03 m³ | 33 pcs. | 20 m² |
| Board 50x 120x 6000 | 0.036 m³ | 27 pcs. | 20 m² |
| Board 50x 150x 6000 | 0.045 m³ | 22 pcs. | 20 m² |
| Board 50x 180x 6000 | 0.054 m³ | 18 pcs. | 20 m² |
| Board 50x 200x 6000 | 0.06 m³ | 16 pcs. | 20 m² |
| Board 50x 250x 6000 | 0.075 m³ | 13 pcs. | 20 m² |
As you can see, it is very easy to calculate the required amount of a 6-meter board. Now you know how to determine how many meter boards are in a cube. Depending on the size, you simply substitute the desired dimensions into a simple formula and get the finished result.