How to calculate the volume of round wood: basic methods. How to calculate the cubic capacity of round wood: basic methods Logs length 5.40 from 10 diameter

This question is the most relevant when it comes to building a house from a log. How to calculate the volume of the house yourself? How to check the declared cubes of the forest in the estimate from the developer?

Here is a table showing the volume of roundwood depending on the diameter of the log. These calculations are given in accordance with GOST 2708-75, which has been in effect on the territory of the Russian Federation since 1975. The table allows you to calculate how many cubes of round wood will be required to build a house from a log from a manufacturer.

The standard length of the logs used for the construction of log cabins is 6 meters. Billets of this length are used most often. Logs longer than 6 meters are rarely used for the production of hand-cut houses.

Most often, the architect will optimize the log house according to the cutting plan in such a way as to avoid (or minimize) the use of lengths. It is technically impossible to produce a rounded log over 6 meters.

The table below shows a cubicle of round wood, and for your convenience, we have made a backlight for a column of 6-meter blanks.

Table for calculating the cubic capacity of round wood with a diameter of 10 to 100 cm and a length of 3 to 8 meters
		3.5 m	4 m	4.5 m	5 m	5.5 m	6 m	6.5 m	7 m	7.5 m	8 m
	0,026	0,031	0,037	0,044	0,051	0,058	0,065	0,075	0,082	0,09	0,1
D 11 cm	0,032	0,037	0,045	0,053	0,062	0,07	0,08	0,09	0,098	0,108	0,12
D 12 cm	0,038	0,046	0,053	0,063	0,073	0,083	0,093	0,103	0,114	0,125	0,138
D 13 cm	0,045	0,053	0,062	0,075	0,085	0,097	0,108	0,12	0,132	0,144	0,158
D 14 cm	0,052	0,061	0,073	0,084	0,097	0,11	0,123	0,135	0,15	0,164	0,179
D 15 cm	0,06	0,071	0,084	0,097	0,11	0,125	0,139	0,153	0,169	0,182	0,199
D 16 cm	0,069	0,082	0,095	0,11	0,124	0,14	0,155	0,172	0,189	0,2	0,22
D 17 cm	0,077	0,092	0,107	0,124	0,14	0,157	0,174	0,191	0,209	0,225	0,25
D 18 cm	0,086	0,103	0,12	0,138	0,156	0,175	0,194	0,21	0,23	0,25	0,28
D 19 cm	0,097	0,115	0,134	0,154	0,173	0,193	0,212	0,235	0,255	0,275	0,305
	3.0 m	3.5 m	4.0 m	4.5 m	5.0 m	5.5 m	6.0 m	6.5 m	7.0 m	7.5 m	8.0 m
D 20 cm	0,107	0,126	0,147	0,17	0,19	0,21	0,23	0,26	0,28	0,3	0,33
D 21 cm	0,119	0,14	0,163	0,185	0,21	0,23	0,255	0,285	0,31	0,335	0,365
D 22 cm	0,134	0,154	0,178	0,2	0,23	0,25	0,28	0,31	0,34	0,37	0,4
D 23 cm	0,114	0,169	0,194	0,22	0,25	0,275	0,305	0,335	0,37	0,4	0,435
D 24 cm	0,157	0,184	0,21	0,24	0,27	0,3	0,33	0,36	0,4	0,43	0,47
D 25 cm	0,171	0,197	0,23	0,26	0,295	0,325	0,36	0,395	0,43	0,465	0,505
D 26 cm	0,185	0,21	0,25	0,28	0,32	0,35	0,39	0,43	0,46	0,5	0,54
D 27 cm	0,203	0,23	0,27	0,305	0,345	0,38	0,42	0,46	0,495	0,54	0,585
D 28 cm	0,22	0,25	0,29	0,33	0,37	0,41	0,45	0,49	0,53	0,58	0,63
D 29 cm	0,235	0,27	0,31	0,355	0,395	0,44	0,485	0,525	0,57	0,62	0,675
	3m	3.5 m	4 m	4.5 m	5 m	5.5 m	6 m	6.5 m	7 m	7.5 m	8 m
D 30 cm	0,25	0,29	0,33	0,38	0,42	0,47	0,52	0,56	0,61	0,66	0,72
D 31 mm	0,265	0,31	0,355	0,405	0,45	0,5	0,555	0,6	0,655	0,72	0,77
D 32 cm	0,28	0,33	0,38	0,43	0,48	0,53	0,59	0,64	0,7	0,76	0,82
D 33 cm	0,3	0,35	0,405	0,46	0,51	0,565	0,625	0,68	0,74	0,805	0,87
D 34 cm	0,32	0,37	0,43	0,49	0,54	0,6	0,66	0,72	0,78	0,85	0,92
D 35 cm	0,34	0,395	0,455	0,515	0,57	0,635	0,7	0,76	0,83	0,9	0,97
D 36 cm	0,36	0,42	0,48	0,54	0,6	0,67	0,74	0,8	0,88	0,95	1,02
	0,375	0,44	0,505	0,57	0,635	0,705	0,78	0,85	0,925	1,0	1,075
D 38 cm	0,39	0,46	0,53	0,6	0,67	0,74	0,82	0,9	0,97	1,05	1,13
D 39 cm	0,41	0,48	0,555	0,63	0,705	0,78	0,86	0,945	1,02	1,105	1,19
	3m	3.5 m	4 m	4.5 m	5 m	5.5 m	6 m	6.5 m	7 m	7.5 m	8 m
	0,43	0,5	0,58	0,66	0,74	0,82	0,9	0,99	1,07	1,16	1,25
D 41 cm	0,45	0,53	0,61	0,695	0,775	0,86	0,95	1,035	1,125	1,22	1,315
D 42 cm	0,47	0,56	0,64	0,73	0,81	0,9	1,0	1,08	1,18	1,28	1,38
D 43 cm	0,495	0,585	0,67	0,765	0,85	0,945	1,045	1,14	1,24	1,34	1,34
D 44 cm	0,515	0,61	0,7	0,8	0,89	0,89	1,09	1,2	1,3	1,4	1,51
D 45 cm	0,543	0,64	0,735	0,835	0,935	1,035	1,14	1,25	1,355	1,465	1,48
D 46 cm	0,57	0,67	0,77	0,87	0,98	1,08	1,19	1,3	1,41	1,53	1,65
D 47 cm	0,595	0,7	0,805	0,91	1,02	1,13	1,245	1,355	1,475	1,6	1,725
D 48 cm	0,62	0,73	0,84	0,95	1,06	1,18	1,3	1,41	1,54	1,167	1,8
D 49 cm	0,645	0,76	0,875	0,99	1,105	1,23	1,355	1,475	1,605	1,74	1,875
	3m	3.5 m	4 m	4.5 m	5 m	5.5 m	6 m	6.5 m	7 m	7.5 m	8 m
D 50 cm	0,67	0,79	0,91	1,03	1,15	1,28	1,41	1,54	1,67	1,81	1,95
D 51 cm	0,7	0,825	0,95	1,075	1,2	1,335	1,47	1,605	1,74	1,89	2,035
D 52 cm	0,73	0,86	0,99	1,12	1,25	1,39	1,53	1,67	1,81	1,97	2,12
D 53 cm	0,765	0,895	1,03	1,165	1,3	1,445	1,59	1,735	1,885	2,045	2,205
D 54 cm	0,8	0,93	1,07	1,21	1,35	1,5	1,65	1,8	1,96	2,12	2,29
D 55 cm	0,83	0,97	1,115	1,26	1,405	1,56	1,715	1,875	2,035	2,2	2,375
D 56 cm	0,86	1,01	1,16	1,31	1,46	1,62	1,78	1,95	2,11	2,28	2,46
D 57 cm	0,89	1,045	1,205	1,36	1,515	1,68	1,875	2,015	2,19	2,365	2,545
D 58 cm	0,92	1,08	1,25	1,41	1,57	1,74	1,91	2,08	2,27	2,45	2,63
D 59 cm	0,955	1,12	1,29	1,46	1,625	1,8	1,98	2,155	2,345	2,535	2,72
	3m	3.5 m	4 m	4.5 m	5 m	5.5 m	6 m	6.5 m	7 m	7.5 m	8 m
D 60 cm	0,99	1,16	1,33	1,151	1,151	1,86	2,05	2,23	2,42	2,62	2,81
D 61 cm	1,025	1,2	1,38	1,565	1,74	1,925	2,115	2,3	2,495	2,7	2,9
D 62 cm	1,06	1,24	1,43	1,62	1,8	1,99	2,18	2,37	2,57	2,78	2,99
D 63 cm	1,095	1,285	1,475	1,67	1,855	2,05	2,25	2,445	2,65	2,865	3,08
D 64 cm	1,13	1,33	1,52	1,72	1,61	2,11	2,32	2,52	2,73	2,95	3,17
D 65 cm	1,165	1,365	1,565	1,77	1,965	2,17	2,38	2,59	2,805	3,03	3,275
D 66 cm	1,2	1,4	1,61	1,82	2,02	2,23	2,44	2,66	2,88	3,11	3,38
D 67 cm	1,235	1,445	1,655	1,87	2,075	2,29	2,505	2,735	2,965	3,21	3,485
D 68 cm	1,27	1,49	1,7	1,92	2,13	2,35	2,57	2,81	3,05	3,31	3,59
D 69 cm	1,305	1,53	1,75	1,97	2,19	2,415	2,645	2,89	3,14	3,41	3,695
	3m	3.5 m	4 m	4.5 m	5 m	5.5 m	6 m	6.5 m	7 m	7.5 m	8 m
D 70 cm	1,34	1,57	1,8	2,02	2,25	2,48	2,72	2,97	3,23	3,51	3,8
D 71 cm	1,375	1,615	1,85	2,08	2,315	2,55	2,795	3,055	3,325	3,615	3,91
D 72 cm	1,41	1,66	1,9	2,14	2,38	2,62	2,87	3,14	3,42	3,72	4,02
D 73 cm	1,45	1,705	1,955	2,2	2,45	2,695	2,95	3,23	3,52	3,82	4,135
D 74 cm	1,49	1,75	2,01	2,26	2,52	2,77	3,03	3,32	3,62	3,92	4,25
D 75 cm	1,53	1,8	2,065	2,325	2,595	2,845	3,115	3,415	3,715	4,03	4,365
D 76 cm	1,57	1,85	2,12	2,39	2,67	2,92	3,2	3,51	3,81	4,14	4,48
D 77 cm	1,615	1,9	2,18	2,455	2,745	3,0	3,29	3,605	3,925	4,255	4,6
D 78 cm	1,66	1,95	2,24	2,52	2,82	3,08	3,38	3,7	4,04	4,37	4,72
D 79 cm	1,7	2,0	2,295	2,59	2,895	3,16	3,475	3,8	4,15	4,485	4,835
	3m	3.5 m	4 m	4.5 m	5 m	5.5 m	6 m	6.5 m	7 m	7.5 m	8 m
D 80 cm	1,74	2,05	2,35	2,66	2,97	3,24	3,57	3,9	4,26	4,6	4,95
D 81 cm	1,785	2,1	2,41	2,73	3,05	3,325	3,66	4,005	4,365	4,51	5,085
D 82 cm	1,83	2,15	2,47	2,8	3,13	3,41	3,75	4,11	4,47	4,82	5,22
D 83 cm	1,875	2,205	2,53	2,87	3,205	3,495	3,845	4,215	4,585	4,495	5,345
D 84 cm	1,92	2,26	2,59	2,94	3,28	3,58	3,94	4,32	4,7	5,07	5,47
D 85 cm	1,965	2,315	2,65	2,985	3,34	3,675	4,035	4,43	4,82	5,195	5,595
D 86 cm	2,01	2,37	2,71	3,03	3,4	3,77	4,13	4,54	4,94	5,32	5,72
D 87 cm	2,06	2,425	2,78	3,13	3,5	3,86	4,235	4,655	5,06	5,445	5,86
D 88 cm	2,11	2,48	2,85	3,23	3,6	3,95	4,34	4,77	5,18	5,57	6,0
D 89 cm	2,16	2,535	2,915	3,3	3,685	4,045	4,45	4,88	5,3	5,7	6,135
	3m	3.5 m	4 m	4.5 m	5 m	5.5 m	6 m	6.5 m	7 m	7.5 m	8 m
D 90 cm	2,21	2,59	2,98	3,37	3,77	4,145	4,56	4,99	5,42	5,83	6,27
D 91 cm	2,255	2,65	3,045	3,45	3,45	4,24	4,67	5,105	5,545	5,96	6,41
D 92 cm	2,3	2,71	3,11	3,53	3,94	4,34	4,78	5,22	5,67	6,09	6,55
D 93 cm	2,355	2,77	3,18	3,605	4,025	4,43	4,89	5,345	5,795	6,225	6,69
D 94 cm	2,41	2,83	3,25	3,68	4,11	4,52	5,0	5,47	5,92	6,36	6,83
D 95 cm	2,46	2,89	3,32	3,76	4,2	4,625	5,11	5,58	6,045	6,495	6,975
D 96 cm	2,51	2,95	3,39	3,84	4,29	4,73	5,22	5,69	6,17	6,63	7,12
D 97 cm	2,565	3,01	3,46	3,92	4,38	4,83	5,335	5,81	6,3	6,77	7,28
D 98 cm	2,62	3,07	3,53	4,0	4,47	4,93	5,45	5,93	6,43	6,91	7,44
D 99 cm	2,67	3,135	3,6	4,085	4,56	5,035	5,565	6,06	6,565	7,055	7,585
D 100 cm	2,72	3,2	3,67	4,17	4,65	5,14	5,68	6,19	6,7	7,2	7,73

How is the volume of a wooden house calculated in the preliminary calculation?

First you need to calculate how many blanks are needed to build a house from a log. In ready-made projects from "AZBUKA FORESA" this information is contained in the section "Cutting cards". The photo below provides a summary of the construction information for.

This data is for a rounded log with a diameter of 240 mm and a length of 6 meters. We see from the cutting map that for construction we need 547 blanks, when converted to cubic meters according to the table above, we get 146.71 m3. These data are automatically calculated by the AT - VENTSY program.

The program, in which our architects design wooden houses, gives an accurate cubic capacity without window and door openings, taking into account all the design features of a wooden house. It is almost impossible to achieve such accuracy with manual calculation.

547 * 0.33 = 180.51 m3.

Thus, we got the result taking into account the lunar groove - the log, relatively speaking, is counted as a cylinder, and the program counts minus the lunar groove.

This calculation once again proves the importance of a professional project and the availability of cutting maps, which allow you to very accurately calculate the amount of logs and lumber and rationally use the construction budget. But for approximate calculations, in order to understand the order of prices, this method is very informative.

Mathematical method for calculating the volume of a wooden house (with a practical example)

What to do if you liked the house in the picture, and you do not have a complete project, much less a cutting map? In this case, you need to be patient and manually calculate the length of all the logs according to the plan. It must be understood that in this case the error with the actual result can be significant, and in both directions.

The task is to calculate how many blanks are needed to build a house from a log. The standard length of a log, as we have already informed you, often does not exceed 6 meters. It is very important at this stage to decide on the height of the floors! And according to this, calculate the number of crowns.

To do this, we need a table of the height of the log profile depending on the diameter. It is presented below. We calculate the length of all the crowns (logs), including the pediments, and divide the resulting number by 6.

Round log profile height

Log diameter, mm	Crown height, m	Rim height, mm
220	0,1905	190,5
240	0,2078	207,8
260	0,2252	225,2
280	0,2425	242,5
300	0,2598	259,8
320	0,2771	277,1
340	0,2944	294,4
360	0,3225	322,5
380	0,3399	339,9
400	0,3572	357,2

EXAMPLE:

Suppose we want to build a house from a chopped log with a diameter of 320 mm. One full floor, the second floor is an attic. The desired height of the first floor after shrinkage is 3100 mm, the desired height of the attic against the wall is 1500 mm. The height of one crown with a diameter of 320 mm is 0.2771 mm.

Important! The average height of the first floor of any log house before shrinkage is 3.2 m, the height of the attic wall in the attic is on average 1.5-1.7 m.After shrinkage, the height of the walls will decrease by about 7-10%, so this must be taken into account in the initial calculations ... It is also necessary to take into account the composition of the floor of the first and second floors. A competent architect will always tell you how to do it correctly.

So in our example:

• Ground floor before shrinkage: 12 crowns, which will be equal to 3.33 m.
• Attic wall in the attic before shrinkage: 6 crowns, which is equal to 1.66 m.

Now we need the length of the walls of each floor. To do this, it is necessary to calculate the perimeter of all walls (load-bearing and internal) according to the plan.

Suppose that the length of the first floor is 100 linear meters, and the length of the attic floor is 85 meters.This is the result without deducting window and door openings. If you need a more accurate number, then you need to calculate all the openings in length and height and subtract from the total number.

We will consider a more simplified version of calculating the volume of a house from a log from the manufacturer.

So,

• First floor 100 m * 12 crowns = 1200 m.
• Attic floor 85 m * 6 crowns = 510 lm

So, the total length of the walls: 1200 + 510 = 1710 lm.

Thus, we obtained the total length of only the walls, excluding gables, balconies, terraces, vertical support pillars, chopped trusses and other elements that may be included in the house project.

Important! To the resulting cubic capacity, you need to add 5%, which will fall on curly logs and ridge logs. The exact number depends on the diameter of the log, the cutting method. For approximate calculations, we will limit ourselves to 5%.

So, we divide the resulting length by 6 meters and we get 1718/6 = 286.33 pcs. Thus, for the construction of walls in our log house, 287 blanks are required. We multiply this number by 0.59 (data from the "Table for calculating the cubic capacity of round timber") and we get169.33 m3.

We need to add pediments to the resulting cubic capacity. In the simplest case there are 2 of them, they are triangular. The area of ​​2 triangles will be approximately equal to the area of ​​the rectangle. Therefore, we consider the length of one wall, where the pediment is. Multiply by the number of crowns and get the length of the log in both gables. Divide the result by 6.

Important! The sum of the attic crowns and gables is equal to the height of the first floor. Therefore, if our number of crowns on the first floor is 12, and in the attic there are 6 crowns, then there will be 6 crowns in the pediments (12–6 = 6).

Suppose that the length of the pediment is 11 meters, the crowns we have 6. So, 11 * 6 = 66 m. Divide by 6, we get 11 pieces. 11 * 0.59 = 6.49 m3

Thus, the cubic capacity of our house made of a log with a diameter of 320 mm is 169.33 + 6.49 = 175.82 m3. When rounding, we got 176 m3.

It was possible to go from the opposite, first to count the number of all blanks, and then convert to cubic meters. Let's check our result in this way:

287 (blanks for walls) + 11 (blanks for gables) = 298 * 0.59 = 175.82 m3, rounded, 176 m3.

That is, everything is calculated correctly.

Important! Do not forget that this is not the final result yet. It is necessary to study the sketch and if there are terraces, balconies and vertical pillars, they must be added to the total. We calculate it manually, since our calculation is mathematical. For example, if there are pillars, then each pillar is counted as one 6-meter workpiece of the required diameter. We also consider the fence for the terrace, cuttings, chopped trusses and other elements.

Now you know how to calculate the cubic capacity of a log house or a log house. If you do NOT want to deal with complex calculations yourself, please contact our specialists! We will make a detailed estimate for you. This is a free service and does not bind you to anything.

When ordering a project of a house made of rounded logs, all lumber will be automatically calculated as accurately as possible.

Finished projects of houses and baths from "AZBUKI LESA" are presented in ours.

To get an estimate, send the plan of your future home to

In the letter, indicate the desired diameter of the log, the estimated height of each floor, construction technology and other data that the manager needs to know in order to draw up an accurate estimate.

The cubic capacity of a log is a certain volume of lumber, the unit of measurement of which is a cube. m. This parameter is used in the construction of wooden houses in order to calculate the required volume of round wood. The determined indicator is very important when calculating the payment for the sold lumber for building a house, since you need to know the cost of each cubic meter. m of wood.

Round wood is very convenient and practical for the construction of houses, baths and other residential and non-residential premises.

The way to correctly count lumber

There are various options that allow you to calculate the cubic capacity of a log, which is a round cylindrical lumber. This estimate is indicative only. In the methods used, the initial geometric parameters are provided, on the basis of which the calculations are made.

Industrial harvesting of lumber is associated with rather complex calculations, which are carried out to find out the cubic capacity of the forest. For accurate calculations, use a special truncated cone formula. It is built on the basis of determining the main diameters of each of the two tree cuts and the length of the logs.

In practice, this complex method is rarely used, since world standards that determine the volume of round timber require the use of special tables. Calculating the volume of a forest when building a house in this way is not particularly difficult. The result is quite accurate, and the calculation is based on the value of the volume of the material in the form of a parallelepiped and the average value of the index of the thickness of the cut of the log in its upper part.

How to calculate the cubic capacity of a log in a single version correctly?

Until now, the calculation of the cubic capacity of a single tree was determined by multiplying its length by the arithmetic mean of the total area of ​​all cuts. This method involved the use of a special measuring device, reminiscent of a vernier caliper.

1. Roulettes.
2. Calculation tables indicating the final cubic capacity.

Before calculating the cubic capacity of the log, the size of its diameter in the middle part was increased three times, obtaining a certain value of the cross-sectional area. It had to be multiplied by the length of the workpiece to get the result of the volume of the material. This method was not accurate because the thickness of the tree bark was not taken into account.

The value of pi in the circle formula was applied with a very large deviation, so the distorted form of the formula did not allow accurate calculations without errors. In practice, the following formula is used: the diameter of a round tree divided by 2 is squared, after which the result is multiplied by the number Pi and the size of the length of the tree.

It cannot be argued that it is correct to calculate the cubic capacity of a forest for building a house only on the basis of tables, special measurements and appropriate formulas. The simplest is the method associated with determining the density of a tree species.

If we consider the cubic capacity of round wood by measuring the thickness of the bark of lumber for the construction of houses, then it is unrealistic to determine the diameter of the logs without possible errors. The calculated parameters will be inaccurate. To correctly calculate the volume of a single wooden material, measure its length with a tape measure, then measure the diameter of the cut at the top, not taking into account the thickness of the bark.

Next, you should look into a special table, in which at the intersection of rows and columns with the given values ​​of the length of the tree, as well as its diameter, determine the amount of material volume. This method is reliable. Before calculating the volume of the forest in this way, you should know that it is not perfectly accurate, since the shape of the trunk and the conditions associated with growing forests for building houses are not taken into account. However, these little things are usually ignored.

How to calculate the volume of round stored timber?

Image 1. Calculation of the volume of round stored timber.

If we consider the industrial volumes of round timber blanks, then other tables and parameters of round logs are used here, which make it possible to calculate the cubic capacity. As shown in the figure (IMAGE 1), the roundwood in storage conditions has the shape of a parallelepiped in the form of a rectangle.

The method for calculating this volume is simple and well-known from school knowledge. In practice, the use of this method does not give an accurate result, since the dimensions of the voids between single logs are not taken into account. The dimensions of the voids depend on the diameter of the logs and can be calculated mathematically. It will not work to calculate the exact values ​​in the case of inaccurate stacking of log blanks. This procedure is not carried out during the assessment of the timber in storage, since the assessment of the volume occupied by round timber in the warehouse itself is carried out.

If you carry out a preliminary weighing of the forest, then it will not be difficult to calculate the cubic capacity, since it is not completely filled with wood material. The required value should be reduced using the void ratio. When carrying out construction calculations, the value of the coefficient of voids is 0.8, which is 20% of the area of ​​space that is occupied by an air void, and 80% falls on the volume of the tree.

The sequence of actions for determining the cube size is reduced to the following main steps:

1. A measurement of the width, length, height of a space that is rectangular.
2. Multiplying certain values ​​among themselves to calculate the result of the volume.
3. Multiplying the result by a factor of 0.8, which takes into account the number of voids between the logs, which is approximate.
4. Acceptance of the obtained value for the effective one.

Using this method, the cubic capacity of round wood is calculated, which is heterogeneous in size.

Calculations depending on the type of material

To calculate the volume of lumber by dividing the weight of the forest by its density, it is necessary to take into account the type of wood.

Image 2. Table for calculating the cubic capacity of unedged and edged boards, bars, lining, slats, etc.

The result will be far from ideal, since the forest can have varying degrees of maturity, hence different deviations in density. The main role belongs to the moisture content of the wood.

The woodworking industry is characterized by concepts related to dense cubic meters and folding. The price list for such sawn timber will contain information about the volume in its dense mass; it will be necessary to convert the cubic meter into a dense mass. For this purpose, conversion factors are used.

The volume of coniferous or deciduous forest is calculated by two methods:

1. By measuring all units of the tree.
2. Through the use of a standard, that is, a cubature developed in accordance with GOST.

Cubature is designed to calculate the volume of edged wood material based on standard tables. In one, you can find the volume of a meter of wood, and in the second - units, which allows you to calculate the cost of a forest.

The proposed table (IMAGE 2) contains calculations of the cubic capacity of unedged and edged boards, bars, lining, slats, etc. Measurement has its own specifics, that is, the size of the width of any board is equal to half the width of the narrow and wide layers measured in the middle of the board. The calculation of the volume of round material is correct if each log is measured.

When carrying out construction work on the construction of a residential building, a specialist needs to perform a large number of various tasks, one of which is: drawing up and calculating the estimated cost before finishing the premises of a residential building. It is imperative to calculate the required amount of various building materials, which is quite difficult to do. Therefore, such knowledge - how many boards are in a cube - is very important for a specialist who is engaged in the construction of a residential building and wants to do the work as efficiently and quickly as possible in time.

Buyer's club: existing types of boards

To calculate exactly how many pieces of boards are in a cube, you need to know not only what exactly a cube of a board means, but it is worth understanding an important point that there are different types of boards and what kind of board is available on the modern market to perform various construction work. It should be noted that the cube of almost all materials, regardless of the type of material, is calculated in the same way, that is, according to one specific method. The types of boards have no influence on the calculation of the cubic capacity of this building material.

The unpunched type of lumber are: timber, various edged boards, as well as unedged boards (they are an exception when calculating the cubic capacity, because this process is a little different). The grooved types (which have special grooves for making a joint) include: modern lining, blockhouse, floor material, as well as imitation of natural timber. When you choose a grooved type of building material for purchase, then you will need to draw your attention to the fact that when calculating, only the working width of the board without a spike is used. If we talk about a blockhouse (imitation of a log), then when calculating the cubic capacity, only the thickness at its highest point is taken.

What is the number of boards in 1 cube: calculation

Any person, even from his school days, understands how the calculation of the cubic capacity is made. For this procedure, it is necessary to calculate quantities such as length, width and height. A similar principle is used to calculate the cubic capacity of 1 board. When performing such calculations, it is recommended to convert all available values ​​to meters. Cubic capacity of 1 board, which has a section of 150x20 mm. and a length of 6 m, it is calculated as follows: 0.15 is multiplied by 0.02 and 6, so that the cubic capacity of this board will be 0.018 cubic meters.

Let's apply the volume formula V = L * h * b (where L is the length, h is the height, b is the width).

L = 6.0; h = 0.02; b = 0.15.

Thus, V = 6.0 * 0.02 * 0.15 = 0.018 m 3.

To determine how many boards are in one cube: divide 1 m 3 by cubic capacity (the volume of one board).

1 m 3 / V = ​​N pcs.

1 m 3 / 0.018 m 3 = 55.55 pcs.

Thus, the number of boards in one cube is 55.5 pieces.

It is quite easy to find out the cost of a certain type of board when the values ​​of its volume are known: 0.018 is multiplied by the price of 1 cubic meter. When 1 cube of a certain type of board has, for example, a cost of 5500 rubles, then the cost will be 99 rubles. At this point in the calculation, there is some trick of salespeople and managers in hardware stores, because the volume of the material is rounded up to some whole values.

Such rounding can lead to such a moment that the price of 1 board (when 1 cube costs 5500) will be completely different values. In addition to all this, it should be noted that for various boards for construction, which have a nominal length of 6 meters, in fact, the length is 6.1 - 6.2 m, which is not taken into account when selling this building material. This also applies to the acquisition of a significant number of boards. This can be clearly seen if, for example, a 150x20 mm board is used. The number of boards in a cube is 55.5 pieces. But, in a cube, 55 pieces are considered, that when calculating, there will be a value of 0.99 cubic meters. In fact, this implies that the overpayment for 1 cubic meter of this popular building material can be 1% of the real price. For example, 5500 instead of 4995 rubles.

To calculate the cubic capacity for a non-cut type of board, slightly different methods are used. When it comes to buying 1 board, then the measurement of its thickness, as well as the total length, is carried out in the same way as when choosing an edged building material. In this case, the width for calculations is taken as an average - between a large value and a small one.

For example, when at the end the width of the board is 25 cm, and at the other 20, then the average value will be approximately 22 centimeters. When it is necessary to calculate the volume of a significant number of such boards for construction, then it will be necessary to expand them so that the wide one does not differ from the narrow one, more than 10 cm. The main length of this material in the laid out pile should be approximately the same. After that, using a regular tape measure, an accurate measurement of the height of the entire available stack of boards is made, the width is measured (approximately in the middle). The result obtained will then need to be multiplied by a special factor, which is a value from 0.07 to 0.09, in direct proportion to the existing air gap.

How many boards are in 1 cube: special tables

To calculate exactly how many boards of a certain width, length in 1 cubic meter, various tables are used. Below are several such specialized tables, which indicate the cubic capacity of the types of this material common and in demand today. It is possible to calculate the volume of various boards having different sizes, for example, material for erecting a fence on your site, using the existing formula, which is presented above.

Table of the number of edged boards in 1 cubic meter

Board size	Volume of the 1st board (m 3)	Number of boards in 1m 3 (pcs.)	Number of square meters in 1m 2
Twenty
Board 20x100x6000	0.012 m 3	83 Item (s)	50 m 2
Board 20x120x6000	0.0144 m 3	69 pcs.	50 m 2
Board 20x150x6000	0.018 m 3	55 pcs.	50 m 2
Board 20x180x6000	0.0216 m 3	46 pcs.	50 m 2
Board 20x200x6000	0.024 m 3	41 Item (s)	50 m 2
Board 20x250x6000	0.03 m 3	33 pcs.	50 m 2
Twenty-five
Board 25x100x6000	0.015 m 3	67 pcs.	40 m 2
Board 25x120x6000	0.018 m 3	55 pcs.	40 m 2
Board 25x150x6000	0.0225 m 3	44 pcs.	40 m 2
Board 25x180x6000	0.027 m 3	37 pcs.	40 m 2
Board 25x200x6000	0.03 m 3	33 pcs.	40 m 2
Board 25x250x6000	0.0375 m 3	26 pcs.	40 m 2
Thirty
Board 30x100x6000	0.018 m 3	55 pcs.	33 m 2
Board 30x120x6000	0.0216 m 3	46 pcs.	33 m 2
Board 30x150x6000	0.027 m 3	37 pcs.	33 m 2
Board 30x180x6000	0.0324 m 3	30 pcs.	33 m 2
Board 30x200x6000	0.036 m 3	27 pcs.	33 m 2
Board 30x250x6000	0.045 m 3	22 pcs.	33 m 2
Thirty-two
Board 32x100x6000	0.0192 m 3	52 Item (s)	31 m 2
Board 32x120x6000	0.023 m 3	43 Item (s)	31 m 2
Board 32x150x6000	0.0288 m 3	34 pcs.	31 m 2
Board 32x180x6000	0.0346 m 3	28 pcs.	31 m 2
Board 32x200x6000	0.0384 m 3	26 pcs.	31 m 2
Board 32x250x6000	0.048 m 3	20 pcs.	31 m 2
Fortieth
Board 40x100x6000	0.024 m 3	41 Item (s)	25 m 2
Board 40x120x6000	0.0288 m 3	34 pcs.	25 m 2
Board 40x150x6000	0.036 m 3	27 pcs.	25 m 2
Board 40x180x6000	0.0432 m 3	23 pcs.	25 m 2
Board 40x200x6000	0.048 m 3	20 pcs.	25 m 2
Board 40x250x6000	0.06 m 3	16 pcs.	25 m 2
Fifty
Board 50x100x6000	0.03 m 3	33 pcs.	20 m 2
Board 50x120x6000	0.036 m 3	27 pcs.	20 m 2
Board 50x150x6000	0.045 m 3	22 pcs.	20 m 2
Board 50x180x6000	0.054 m 3	18 pcs.	20 m 2
Board 50x200x6000	0.06 m 3	16 pcs.	20 m 2
Board 50x250x6000	0.075 m 3	13 pcs.	20 m 2

Table of the amount of timber in 1 cubic meter

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

Table of the number of unedged boards in 1 cubic meter

When round timber is harvested, first of all they try to accurately calculate its cubic capacity.

Measurement is made at the top cut, where the diameter will be slightly smaller. When measuring trunks that have a cross-section different from a round one, they try to measure along the narrowest section, passing through the center of the annual rings of wood.

This technique is used because it allows you to most accurately estimate how much of one log will get edged lumber, which has the greatest value in woodworking. Obviously, they will be cut based on the diameter of the top cut.

For the same reason, they prefer to discard the ridged part of the trunk, where the difference between the larger and smaller diameters of the cut is large, and not use it in the workpiece. All the same, the sawmill will accept the wood at the upper cut.

When determining the length, measurements are made with an accuracy of 10 cm, while the length is rounded down. This accuracy is due to the fact that when felling logs, two cuts are usually made - one higher, the other lower. First, they make the lower one, then the upper one - on the other side. falls in the direction where the top of his head is leaning. The cuts are made so that the lower one is on the side where the trunk should fall.

In this case, the upper cut is made on the other side, standing in the opposite direction to the most likely fall. During the subsequent sawing of the whip, they usually saw with a saw for one cut, but often an error in the cut is allowed - it can go a little obliquely, because of this there is such a large error.

Calculation by cubature

In accordance with it, you can determine the volume of each log by making measurements and choosing the value from the table. In the table, the diameter of the barrel goes with a step of 1-2 cm, and along the length there is a step of 10 cm. Of course, it is not very convenient to use the entire cubature table.

This table provides data for the most common topsum diameters and lengths. Usually it is required to calculate the volume for logs up to 6 meters long. It is logs of this length that fit into most of the standard bodies of ordinary ones, not specialized as timber trucks or timber trailers for tractors, it is precisely in the size of up to 6 meters that logs are cut.

Naturally, when the timber is handed over to the sawmill, we are not talking about any "approximate" calculations, and it is necessary to apply the full GOST in the final calculation - after all, these are sawmills and the money of foresters who love accurate counting.

Formula calculation

V = πd²l / 4, where d is the trunk diameter in the upper cut, l is the length of the log, π = 3.14 - for our calculations, greater accuracy of this constant is not needed.

It is convenient when there is no GOST at hand, but only. With large volumes of work, even from three or four machines, it will take a lot of time to calculate in this way, in addition, this technique is not standardized and is not an argument in financial disputes.

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• How to calculate cubic capacity without using tables?

In the case of industrial harvesting of round timber, it is rather difficult to determine its cubic capacity. To accurately calculate the volume of each log, you can use the truncated cone volume formula, which takes into account the main diameters of both cuts and the length of the log itself.

Round wood is very convenient and practical for the construction of houses, baths and other residential and non-residential premises.

In fact, in such a complex way, the cubic size of the roundwood is not calculated. It is accepted all over the world to consider it in a faster way. Special tables are used for this.

How to calculate the cubic capacity of a single tree without additional measurements?

Cubic meter of wood and folding cubic meter of round wood.

A few years ago, to calculate the volume of a single tree, the product of the arithmetic mean of the area of ​​the saw cuts by the length of the tree was used. With the help of a meter (reminiscent of an ordinary caliper), the diameter of a tree in its middle part was determined. Then it was multiplied by 3 to obtain the cross-sectional area.

Further, the resulting number was multiplied by the length of the workpiece, and a volumetric result was obtained. This calculation method is inaccurate, since the thickness of the bark is not taken into account. The number Pi was taken with a large deviation from the real one, and the formula in its distorted form gave large errors.

The formula itself looks like this: the diameter of a rounded log is divided by 2 and squared, then multiplied by Pi and the length of the log.

Even if you measure the thickness of the bark and take this into account to determine the diameter of a tree, then deviations from these indicators will be inaccurate, although with a smaller error. More accurate calculations showed that the actual deviations in the calculations of the cubic capacity of a round log with primitive measurements have a certain dependence on the parameters of the tree, which was taken into account when compiling the corresponding tables to determine the volumetric parameter. Let's try to figure out how to calculate the volume of the forest. This will require:

• roulette;
• corresponding calculation tables, where there is a final cubic capacity.

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The technology for calculating the volume of a single log

First, you need to use a tape measure to measure the length of the tree and its diameter on the cut in the upper part (excluding the bark). After that, let's look at the tabular parameters: at the intersection of the line, where the length of the tree is indicated, and the column with the corresponding diameter, we find the volume of the measured body. Everything is simple and reliable.

Such calculations also cannot be called absolutely accurate, since the features in which the forest was grown and the shape of the trunk are not taken into account. But it is customary not to pay attention to such trifles with large volumes of workpieces.

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Calculation of the volume of the stored timber

With industrial volumes of round logs, other techniques and tabular data are used. In essence, a round woodland in the stored state has the shape of a rectangular parallelepiped. Calculations of its volume are familiar to everyone from school. But this method cannot be used, since the dimensions of the voids between the logs will not be taken into account. By the way, they also directly depend on the diameter of the logs, which lend themselves to mathematical calculus.

Through numerous calculations, a coefficient was determined with the help of which a special table was compiled. It works similarly to the previously described table, with the only difference that the volume of the mentioned parallelepiped and the average thickness of the upper cut are taken into account. The cubic capacity of the forest is calculated with great accuracy.

Types of lumber and their volume.

But one cannot hope for good accuracy of calculations in case of careless stacking of forest products. This procedure is not used for storage of timber, since in this case the volume that is occupied by round timber directly in the warehouse is estimated.

It is very easy to calculate the cubic capacity after preliminary weighing of the forest.

Next, you need to calculate the volume by dividing the mass of the forest by the density, which corresponds to the type of wood. Such a calculation also cannot be considered ideal, since the forest in different degrees of maturity has a deviation in density. Wood moisture can also play a special role here.