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The formula used to calculate the volume is:
\[ \text{Board Feet} = (0.0494 \times D^2 \times L) - (0.124 \times D \times L) - (0.269 \times L) \]
The Scribner Log Rule is a method used in the forest industry to measure the volume of a log in board feet. It applies to logs with various diameters and lengths.
Steps to calculate the volume:
Let's assume the following values:
Using the formula:
\[ \text{Board Feet} = (0.0494 \times 20^2 \times 16) - (0.124 \times 20 \times 16) - (0.269 \times 16) = 224 \]
| Diameter (inches) | Length (feet) | Volume |
|---|---|---|
| 6 | 16 | 12.3 |
| 8 | 16 | 30.4 |
| 10 | 16 | 54.9 |
| 12 | 16 | 85.7 |
| 14 | 16 | 122.8 |
| 16 | 16 | 166.3 |
| 18 | 16 | 216.1 |
| 20 | 16 | 272.2 |
| 22 | 16 | 334.6 |
| 24 | 16 | 403.4 |
| 26 | 16 | 478.4 |
| 28 | 16 | 559.8 |
| 30 | 16 | 647.5 |
| 32 | 16 | 741.6 |
| 34 | 16 | 841.9 |
| 36 | 16 | 948.6 |