Board foot formula
A board foot is a volume of 144 cubic inches: a board 1 inch thick, 12 inches wide and 1 foot long. For a board T inches thick, W inches wide and L feet long:
board feet = T × W × L ÷ 12
If you measure the length in inches, use T × W × L ÷ 144 instead (NIST: tables of units of measurement).
- A 4/4 board 6 inches wide and 8 feet long: 1 × 6 × 8 ÷ 12 = 4 board feet, so 10 of them are 40.
- A 5/4 board 8 inches wide and 10 feet long: 1.25 × 8 × 10 ÷ 12 = 8.33 board feet.
- A 2×6 that is 8 feet long: 2 × 6 × 8 ÷ 12 = 8 board feet.
Quarter sizes and nominal thickness
Hardwood thickness is sold in quarters of an inch, measured rough before planing: 4/4 ("four quarter") is 1 inch and 8/4 is 2 inches. Board feet are figured on this nominal thickness, so surfaced 4/4 lumber planed to about ¾ inch is still priced as 1 inch. Softwood dimensional lumber is also figured on nominal sizes: a 2×6 counts as 2 by 6 inches even though it measures about 1½ by 5½.
Quarter sizes in inches
| Quarter size | Nominal thickness |
|---|---|
| 4/4 | 1 in |
| 5/4 | 1.25 in |
| 6/4 | 1.5 in |
| 8/4 | 2 in |
| 10/4 | 2.5 in |
| 12/4 | 3 in |
| 16/4 | 4 in |
Waste and cost
Rough lumber has knots, splits and uneven edges, and cutting to length leaves offcuts, so buy extra: around 15% for clean stock and up to 30% or more for lower grades or projects with many small parts. The example needs 73.33 board feet, or 84.33 with 15% extra; at $6.50 a board foot that is $548.17.
Assumptions and limits
- Board feet use the thickness and width you enter; enter nominal sizes to match how lumber is priced.
- Lumberyards may round each board to the nearest foot of length or round the total; the result here is not rounded.
- Some lumber, such as trim and dimensional softwood at big-box stores, is priced per piece or per linear foot instead of per board foot.
Methodology and testing
Automated tests check the definition (1 × 12 in × 1 ft = 1 board foot = 144 cubic inches), nominal and quarter sizes, several stacks with waste and price, and invalid inputs against hand-worked values. How we build and test calculators.
Sources
- NIST Handbook 44, Appendix C: General Tables of Units of Measurement, National Institute of Standards and Technology. US customary units: 1 square foot = 144 square inches, 1 cubic yard = 27 cubic feet, 1 short ton = 2,000 pounds.
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