How board feet work
A board foot is the lumber trade's unit of volume: 144 cubic inches, the size of a board 1 inch thick, 12 inches wide, and 12 inches long. Hardwood comes off the sawmill in random widths and lengths, so it can't be priced per stick the way a bundle of identical 2×4s can — instead the dealer tallies the volume of wood in each board and charges by the board foot. Once you can compute it yourself, you can sanity-check a lumberyard invoice and compare a $6/bd ft walnut quote against a $12/bd ft one on equal footing.
One trade convention to know: hardwood thickness is quoted in quarters of an inch of rough thickness. 4/4 ("four-quarter") is 1 inch, 5/4 is 1¼, 6/4 is 1½, and 8/4 is 2 inches. When a dealer says "eight-quarter walnut," enter 2 in the thickness box.
The formula
Thickness and width are in inches, length is in feet — that mixed-unit shortcut is why the divisor is 12 rather than 144. If you'd rather keep everything in inches, multiply the three dimensions and divide by 144; the answer is identical.
Worked example
You order 10 pieces of 8/4 stock, 6 inches wide and 10 feet long. 8/4 means 2 inches thick, so each piece is 2 × 6 × 10 ÷ 12 = 10 board feet, and the order totals 100 board feet. At $6.50 per board foot, that's $650.00 of lumber — before the dealer's surfacing charge, if you have them plane it.
The nominal-size trap (and why it isn't a scam)
Here's the part that surprises people: board feet are tallied on nominal (rough-sawn) dimensions, not actual ones. A "2×4" actually measures 1.5 × 3.5 inches, and a 4/4 hardwood board surfaced on two sides comes to you about 13/16 inch thick — yet both are counted at their full nominal size. The reason is honest enough: the mill sawed a full-size board, and the material lost to drying shrinkage and planing was real wood that passed through the saw. The convention only becomes a trap when you mix up your two sets of math. Budget with nominal dimensions, build with actual ones. If your project needs a finished 1-inch-thick panel, 4/4 stock won't get you there after flattening — you buy 5/4 and plane down, and you pay for the full 5/4. Seasoned woodworkers also add 15-30% extra board footage for defects, grain matching, and mistakes; rough lumber is not sold defect-free.