To convert board feet to cubic meters, multiply the board-foot total by 0.002359737216. For example, 100 board feet equals 0.2359737216 m³, or 0.235974 m³ rounded to six decimal places. This converts a volume quantity; it does not change the dimensions or billing convention used to establish the original board-foot total.
Board Feet to Cubic Meters Formula
A board foot is a volume unit equal to 144 cubic inches—the volume of a piece 1 inch thick, 12 inches wide, and 12 inches long. It measures volume, not surface area or linear length.
Use:
[
V_{\mathrm{m^3}} = B_{\mathrm{bf}} \times 0.002359737216
]
Where:
- (B_{\mathrm{bf}}) is the volume in board feet.
- (V_{\mathrm{m^3}}) is the equivalent volume in cubic meters.
The factor follows from 1 board foot = 144 in³ and 1 inch = 0.0254 meters:
[
1\ \mathrm{bf} = 144 \times (0.0254)^3\ \mathrm{m^3}
= 0.002359737216\ \mathrm{m^3}
]
The American Wood Council’s metric conversion reference gives the rounded factor 0.002359737, citing ASTM E380. The formula above retains additional digits from the unit conversion.
For the reverse conversion:
[
B_{\mathrm{bf}} = \frac{V_{\mathrm{m^3}}}{0.002359737216}
]
Thus, 1 m³ is approximately 423.776 board feet.
Board Foot Conversion Table
The table converts the same board-foot quantity to cubic feet and cubic meters. All displayed results are rounded to six decimal places.
| Board feet (bf) | Cubic feet (ft³) | Cubic meters (m³) |
|---|---|---|
| 1 | 0.083333 | 0.002360 |
| 10 | 0.833333 | 0.023597 |
| 25 | 2.083333 | 0.058993 |
| 50 | 4.166667 | 0.117987 |
| 100 | 8.333333 | 0.235974 |
For the cubic-foot column, divide board feet by 12 because 1 ft³ contains 1,728 in³ and 1 board foot contains 144 in³.
Calculate with the full conversion factor and round only the final result. Multiplying the rounded table entry for 1 board foot by a larger quantity can produce a different rounded total.
Measured Volume and Lumber Billing
Converting a board-foot total to cubic meters preserves the basis of that total. If the starting figure uses a supplier’s billing convention rather than measured piece dimensions, the converted result remains a billing-basis volume expressed in another unit. It does not establish the lumber’s measured physical volume.
Likewise, this conversion does not turn a nominal lumber label into actual dimensions. The American Wood Council specifically distinguishes nominal sizes from actual sizes when converting lumber dimensions to metric units.
For purchasing or comparing quotes, confirm how each supplier establishes board footage before comparing the converted totals. Do not assume two quantities describe equivalent stock merely because both are expressed in cubic meters.
The Woodworking Calculator directory lists a Board Foot Calculator for estimating board feet from entered dimensions and piece count. Use this reference table after establishing the board-foot total and its measurement basis.