How many boards in a cube

Good day! We bring to your attention an article that should definitely help you in determining how many cubes of boards for building, for example, a wooden bath, you need to order. In the article, we will give a not easy final result for boards of a certain size, but we will also tell you what percentage of your overpayment from one cube of such a board, we will show an example of independently calculating the number of boards in a cube.

What is a cube and volume

Let's start with the fact that the boards are measured in cubic meters (abbr. cube). Cubic meter is the product of three quantities: the first of them is the length, the second is the width, the third is the height. In the case of a figure such as "cube", the value of "volume" will be equal to the length of the edge to the power of "3". Another definition of a cubic meter:

“Cubic meter (m³, cubic meter) is a unit of volume; equal to the volume of a cube with an edge length of 1 meter"

How to find the volume of a cube is shown in the video below (video in English):

Let's get back to your future boards, namely their size. The size of the board is indicated as follows: 25x150x6000. The first number is the height (thickness), the second number is the width, the third number is the length. The length of the board is usually either 4 meters or 6 meters.

Important! In fact, the length of the board will be greater than its nominal size. For example, a board 4 meters long actually has 4.1 or even 4.2 meters, and a board 6 meters long will have up to 6.25. As for the first two values, width and thickness (height), they must exactly match the specified parameter.

Calculation example for a board 25x150x6000

Consider the above board with a size of 25x150x6000. Dimensions here are in mm, but to determine the cubature, you need a different unit of measurement - meter. Let's translate mm into meters and get a board of 0.025x0.15x6.0. Let's apply the volume formula V= L* h* b, where L- length, h- height, b- width. L=6.0; h=0.025; b=0.15. Thus, 6.0 * 0.025 * 0.15 \u003d 0.0225 cubic meters. What does this mean? And this means one thing: if you know the price for 1 cubic meter of such a board, then freely determine the price of one board. Let's say if the price of a cubic meter is 100 rubles, then for one board you will have to pay 100 * 0.0225 = 2.25 rubles.

Attention! Often, the sellers of boards, one might say, "weld" on their customers, rounding the value of the volume of the boards. For example, instead of 0.025 cubic meters, a size of 0.023 is indicated. Of course, this is an insignificant deviation if you buy less than 1 cubic meter of boards worth 100 rubles, but when a cubic meter costs, for example, 300 rubles, and you need 10 cubic meters, then the overpayment will be significant.

That is why you should learn to independently determine the cubic capacity of the board. So, we managed to determine the volume of one board. But how to determine how many unedged boards are included in 1 cubic meter with dimensions of 25x150x6000. And to make it even easier, using the formula:

1 cubic meter / (L*h*b) = N pieces.

We substitute the available data and get the number of boards 25x150x6000 in 1 cubic meter:

1 / (6.0 * 0.025 * 0.15) \u003d 1 / 0.0225 \u003d 44.4 pcs.

Important! When ordering one cubic meter 25x150x6000, in fact, you take 44 boards, and you simply overpay for 0.4. Thus, 1% of the cost of a cubic meter is your overpayment.

Calculation of the volume and number of boards for different sizes

Below, together with you, we will determine the volume of one board and the number of boards for different sizes.

25x150x4000 (length - 4000, height - 25, width -150)

First, we determine the volume of one such board. We apply the formula and get 4 * 0.025 * 0.15 \u003d 0.015 cubic meters. meters.

Now we determine the number of boards 25x150x4000 in a cubic meter: 1 / 0.015 = 66.7 pieces. As a result, 1 cubic meter of board 25x150x4000 contains 66 pieces.

40x150x4000 (length - 4000, height - 40, width - 150)

Let's determine the volume of one such board: 4 * 0.04 * 0.15 \u003d 0.024 cubic meters. meters.

And the number of boards will be calculated as follows: 1 / 0.024 \u003d 41.6 pieces. Actually - 41 boards.

20x100x6000 (length - 6000, height - 20, width - 100)

Let's start by determining the volume of one such board, 20x100x6000 in size. 6*0.02*0.1=0.012.

The number of boards in 1 cubic meter: 1 / 0.012 = 83.3 pieces. We get 83 boards.

25x100x6000 (length - 6000, height - 25, width - 100)

We calculate the volume of one board using the formula: 6 * 0.025 * 0.1 \u003d 0.015 cubic meters. meters.

If you were careful, then a board measuring 25x150x4000 has exactly the same volume, and based on this we can immediately calculate the number of boards in 1 cubic meter: 66 pieces.

40x100x6000 (length - 6000, height - 40, width - 100)

We calculate the volume of one board 40x100x6000. We substitute the parameters into the formula and we have: 6 * 0.04 * 0.1 \u003d 0.024 cu. meters.

The number of boards will be 1 / 0.024 = 41.6. Thus, paying for 1 cubic meter 40x100x6000 you will receive 41 boards.

50x100x6000 (length - 6000, height - 50, width - 100)

First, we determine the volume of one such board. We apply the formula and get 6 * 0.05 * 0.1 \u003d 0.03 cubic meters. meters.

Now we determine the number of boards 50x100x6000 in a cubic meter: 1 / 0.03 = 33.3. As a result, 1 cubic meter of board 50x100x6000 contains 33 pieces.

25x150x6000 (length - 6000, height - 25, width - 150)

Let's determine the volume of one such board: 6 * 0.025 * 0.15 \u003d 0.0225 cubic meters. meters.

And the number of boards will be calculated as follows: 1 / 0.0225 = 44.4 pcs. Actually - 44 board.

30x150x6000 (length - 6000, height - 30, width - 150)

Let's start by determining the volume of one such board, 30x150x6000 in size. 6*0.03*0.15=0.027.

The number of boards in 1 cubic meter: 1 / 0.027 = 37.04 pieces. We get 37 boards. Perhaps, it is for a cubic meter of such a board that you will have to overpay the smallest percentage.

40x150x6000 (length - 6000, height - 40, width - 150)

We calculate the volume of one board using the formula: 6 * 0.04 * 0.15 \u003d 0.036 cubic meters. meters.

So how many boards 40x150x6000 in 1 cubic meter? It equals 1 / 0.036 = 27.8 cubic meters. meters. Attention! As you can see, if you round the number of such boards down, then you will overpay decent money, almost 3%!

50x150x6000 (length - 6000, height - 50, width - 150)

We calculate the volume of one board 50x150x6000. We substitute the parameters into the formula and we have: 6 * 0.05 * 0.15 \u003d 0.045 cu. meters.

The number of boards will be 1 / 0.045 = 22.2. Thus, paying for 1 cubic meter 50x150x6000 you will receive 22 boards.

25x200x6000 (length - 6000, height - 25, width - 200)

The volume of one board 25x200x6000 is 0.03 cubic meters. meters. The number of boards 25x200x6000 in 1 cubic meter is 33.3 pieces.

40x200x6000 (length - 6000, height - 40, width - 200)

The volume of such a board is 6 * 0.04 * 0.2 \u003d 0.048 cubic meters. meters. And the number of boards 40x200x6000 in one cube is 20.8 pieces.

IMPORTANT that when rounding down, the overpayment will be significant!

50x200x6000 (length - 6000, height - 50, width - 200)

The last size that we will consider in this article. We calculate the volume of one such board: 6 * 0.05 * 0.2 \u003d 0.06 cubic meters. meters. The number of such boards in 1 cubic meter will be equal to 1 / 0.06 = 16.7, which means a large overpayment when rounded towards 16 pieces!

In order for you not to get confused, below is a table with the results obtained:

Thus, all you need to calculate is our formulas and (optionally) a calculator.

We hope that our article has fully revealed the essence of these simple calculations for you, and you have learned some of the nuances that should help you save your money!