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Board Foot / Lumber Calculator

Board feet and lumber cost from thickness, width and length.

Inputs

Given
in
in
ft
pcs
$

Results

Computed

Total board feet

80.00

8.000 board feet per piece × 10 pieces

Board feet per piece8.000
Total lineal feet80.0 ft
Estimated material cost$360.00
Cost per piece$36.00

Board footage is calculated on nominal rough dimensions. Surfaced lumber (S4S) is thinner and narrower than nominal but is still sold at the rough measure.

80.00 bd ft · $360.00

FIG. 3 — BOARD FOOT = T × W × L ÷ 12
LENGTH (FT)WIDTH (IN)THK (IN)1 BF = 144 CU IN

How this is calculated

A board foot is a volume measure: 144 cubic inches of lumber, equal to a piece one inch thick, twelve inches wide and one foot long. Because thickness and width are measured in inches while length is usually in feet, the standard formula divides by 12:

board feet = thickness(in) × width(in) × length(ft) ÷ 12

When every dimension is in inches, divide by 144 instead — that is what this tool does internally:

board feet = thickness(in) × width(in) × length(in) ÷ 144

Hardwood is graded in quarters of an inch: 4/4 is one inch, 5/4 is one and a quarter, 8/4 is two inches. Always use the rough nominal thickness in the calculation even if the board has already been surfaced, because that is how mills and yards price it.

Cost is simply total board feet multiplied by your price per board foot. Add a waste factor for defects, snipe and cutting — 15% is typical for rough lumber and 25% or more if you are working around knots and checks in character-grade stock.

Worked example

Pricing a hardwood order

  1. You need 20 boards of 8/4 (2 in) white oak, 6 in wide, 8 ft long.
  2. Board feet each = (2 × 6 × 8) ÷ 12 = 8 bf.
  3. Order total = 20 × 8 = 160 bf.
  4. At $9.50/bf the wood runs 160 × 9.50 = $1,520 before tax.
  5. In Canada, add provincial sales tax — e.g. 13% HST in Ontario brings it to about $1,718.

Common mistakes

  • Using nominal dimensions

    A '2×4' measures 1½ × 3½ in. Board-foot pricing uses actual thickness and width — using nominal sizes overstates volume by roughly 30% on common dimensions.

  • Mixing quarters with inches

    Hardwood thickness is sold in quarters of an inch: 4/4 = 1 in, 8/4 = 2 in. Entering '8' instead of '2' for an 8/4 board quadruples the calculated volume.

  • Forgetting surfaced lumber loses thickness

    S2S or S4S milling removes material: rough 4/4 stock typically finishes at 13/16 in. If you need a full finished inch, buy 5/4 rough stock.

What to do with this result

Frequently asked questions