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Board foot calculator for lumber and timber

Board foot calculator: board feet, linear feet, volume and cost for a stack of lumber, at nominal size and at the dressed size of a 2x4, 2x6 and more.

Drafted with AI writing toolsUpdated Checked examples: 3

Lumber yards price softwood by nominal size; turn off for rough-sawn or metric timber measured as is.
$
Try
Board feet
BF
Board feet: 80 BF
Maximum decimal places: 2; Nearest, ties away from zero
Board feet at dressed size
55BF
Dressed size
1.5 × 5.5 in
Linear feet
80ft
Linear metres
24.38m
Volume at the sizes entered
0.1888m³
Cost
$75.00

10 pieces of 2 × 6 in × 8 ft come to 80 board feet and 80 linear feet; the dressed wood is 55 BF.

Cross-section

1.5 × 5.5 inNominal 2 × 6 in (grey), dressed size inside6 in2 in
How it's calculated S
  1. Board feet

    2×6×812×10=80 BF\frac{2 \times 6 \times 8}{12} \times 10 = 80\ \text{BF}

    One board foot is 144 in³: a piece 1 in thick, 12 in wide and 1 ft long.

  2. At the dressed size

    1.5×5.5×812×10=55 BF\frac{1.5 \times 5.5 \times 8}{12} \times 10 = 55\ \text{BF}

    Softwood is sold by nominal size; this is the wood you actually get.

  3. Linear feet

    8×10=80 ft8 \times 10 = 80\ \text{ft}
  4. Cost

    10×7.5=75.0010 \times 7.5 = 75.00

About the board foot calculator

A board foot is 144 cubic inches of wood, a piece 1 in thick, 12 in wide and 1 ft long. Board feet for a stack are thickness (in) × width (in) × length (ft) ÷ 12 × pieces. Linear feet are length × pieces, and cost follows the basis the yard prices by: per piece, per board foot or per linear foot.

The default, ten 2 × 6 boards 8 ft long, is 80 board feet and 80 linear feet, costing 75.00 at 7.50 each. Softwood board feet are counted on the nominal size, but a dry 2 × 6 is dressed to 1½ × 5½ in, so the wood delivered is 55 board feet.

Turn off nominal sizing for rough-sawn hardwood or metric timber, which is measured as it is. Metric pieces convert at 1 board foot = 2.359737216 litres.

How to calculate board feet

Multiply thickness in inches by width in inches by length in feet, divide by 12, then multiply by the number of pieces. One board foot is 144 in³ of wood, a piece 1 in × 12 in × 1 ft. Ten 2 × 4s, 8 ft long, are 2 × 4 × 8 ÷ 12 = 5.33 BF each, or 53.33 board feet.

Board feet by hand

  1. Multiply thickness by width in inches: a 2 × 6 is 12 in².
  2. Multiply by the length in feet: 12 × 8 ft = 96.
  3. Divide by 12: 8 board feet per piece.
  4. Multiply by the pieces: ten pieces are 80 board feet.

With every dimension in inches, divide by 144 instead: 2 × 6 × 96 ÷ 144 = 8. For metric timber, divide cubic meters by 0.002359737216, the exact volume of one board foot; a cubic meter is 423.78 board feet.

Board feet per linear foot of common sizes

Board feet in each linear foot of nominal lumber:

  • 1 × 6: 0.5
  • 2 × 4: 0.667
  • 2 × 6: 1
  • 2 × 8: 1.333
  • 2 × 10: 1.667
  • 2 × 12: 2
  • 4 × 4: 1.333

Multiply by the total length to get the stack. Any size whose thickness × width is 12, such as a 2 × 6 or a 1 × 12, has as many board feet as linear feet.

Nominal or dressed size

Softwood is sold on its nominal size, but a dried and planed piece is smaller. Under the American Softwood Lumber Standard PS 20-25, a nominal 1 in board is ¾ in thick; 2 to 6 in dimensions dress ½ in smaller and 8 to 16 in dimensions ¾ in smaller.

Ten 2 × 6 × 8 ft pieces count as 80 board feet but measure 1½ × 5½ in, so they hold 55 board feet of wood, 68.75% of the nominal figure. Ten 2 × 4s hold 35 board feet against 53.33 nominal.

Hardwood and rough-sawn timber are measured at their actual size. Rough hardwood thickness is quoted in quarters of an inch: 4/4 is 1 in, 5/4 is 1¼ in and 8/4 is 2 in. A rough 4/4 board 8 in wide and 8 ft long is 5.33 board feet.

Pricing by piece, board foot or linear foot

Lumber yards quote per piece, per board foot or per linear foot, and the same stack costs different amounts on each. Match the basis to the quote before comparing suppliers.

To use a price per thousand board feet (MBF), divide it by 1,000: 600 per MBF is 0.60 per board foot, so the 80 board feet above cost 48.00. One MBF is 83.33 ft³, or 2.36 m³.

Board feet, length and cost for five stacks

"Default" is ten nominal 2 × 6 × 8 ft pieces at 7.50 each. "One board foot" is a single 1 × 12 in piece 1 ft long at 4.50 per board foot. "Board foot pricing" prices the ten 2 × 6s at 0.60 per board foot.

"Actual dimensions" enters the same ten pieces at their dressed 1.5 × 5.5 in, still at 7.50 each. "Metric timber" is twenty 50 × 150 mm pieces, 3 m long, at 2.00 per linear foot: 0.45 m³ and 60 m of timber.

ScenarioBoard feet at entered sizesLinear feetCost
Default80.00000080.00000075.000000
One board foot1.0000001.0000004.500000
Board foot pricing80.00000080.00000048.000000
Actual dimensions55.00000080.00000075.000000
Metric timber190.699200196.850394393.700787

Mistakes that skew a lumber order

  • Dividing by the wrong number. Divide by 12 when length is in feet and by 144 when it is in inches; mixing them makes the answer 12 times too large or small.
  • Comparing dressed board feet with a nominal quote. A yard pricing ten 2 × 6 × 8s on nominal size charges for 80 board feet, though the boards hold 55.
  • Treating an MBF price as a board-foot price. 600 per MBF is 0.60 per board foot, not 600.
  • Using nominal sizes for hardwood. Hardwood is measured as it is, so enter its actual thickness and width with nominal sizing off.

Inputs worth a second look

  • With nominal sizing on, standard sizes also get a board-foot figure at their dressed size. A size missing from the PS 20 table, such as a 2 × 9, is counted only at the size given.
  • Thickness and width take inches, millimeters or centimeters; length takes feet, inches or meters.
  • Every piece in one calculation has the same size, so total a mixed stack one size at a time.

To count the boards a project needs before totaling them here, use the deck calculator or the fence calculator.

Worked examples

Ten 2 × 6 × 8 ft at 7.50 each

Thickness
2 in
Width
6 in
Length
8 ft
Pieces
10
Price is
Per piece
Price
7.5
Board feet
80 BF
Board feet at dressed size
55 BF
Linear feet
80 ft
Cost
75.00
Dressed size
1.5 × 5.5 in

Checked against: Hand calculation: 2 × 6 × 8 / 12 = 8 BF × 10 = 80; dressed 1.5 × 5.5 × 8 / 12 × 10 = 55 (PS 20 sizes)

Edge: 1 × 12 in × 1 ft is one board foot

Thickness
1 in
Width
12 in
Length
1 ft
Pieces
1
Price is
Per board foot
Price
4.5
Board feet
1 BF
Board feet at dressed size
0.7 BF
Cost
4.50

Checked against: Definition: 1 BF = 144 in³ = 1 in × 12 in × 12 in; dressed 0.75 × 11.25 × 12 / 144 = 0.703125

Metric 50 × 150 mm × 3 m timber, 20 pieces, per linear foot

Thickness
50 mm
Width
150 mm
Length
3 m
Pieces
20
Sizes are nominal (a 2 × 6 is really 1½ × 5½ in)
no
Price is
Per linear foot
Price
2
Board feet
190.7 BF
Volume at the sizes entered
0.45 m³
Linear feet
196.85 ft
Cost
393.70

Checked against: 0.05 × 0.15 × 3 × 20 = 0.45 m³ ÷ 0.002359737216 m³ per BF = 190.70; 60 m ÷ 0.3048 = 196.85 ft × 2

Questions

How do you calculate board feet?

Multiply thickness in inches by width in inches by length in feet, then divide by 12. A 2 × 6 that is 8 ft long is 2 × 6 × 8 ÷ 12 = 8 board feet, so ten of them are 80. With all three sides in inches, divide by 144 instead: a board 1 × 12 × 12 in is exactly 1 board foot.

Do you use nominal or actual size for board feet?

Nominal size for surfaced softwood: a 2 × 4 is counted as 2 × 4 in although it measures about 1½ × 3½ in. Hardwood is measured at its actual size, and rough hardwood thickness is given in quarters, 4/4 for 1 in and 8/4 for 2 in. With nominal sizing on, this calculator shows both: ten 2 × 6 × 8 ft are 80 BF nominal and 55 BF dressed.

What are the actual dimensions of a 2x4?

1½ × 3½ in (38 × 89 mm) once dried and planed. Other 2× sizes lose ½ in of width up to 6 in and ¾ in above that: a 2 × 6 is 1½ × 5½, a 2 × 8 is 1½ × 7¼, a 2 × 10 is 1½ × 9¼ and a 2 × 12 is 1½ × 11¼ in. A nominal 1 in board is ¾ in thick, and a 4 × 4 is 3½ × 3½ in.

How many board feet are in a cubic metre?

423.78. One board foot is 144 in³, exactly 2.359737216 litres, and 1 m³ ÷ 0.002359737216 m³ = 423.776. The metric example uses this: 20 pieces of 50 × 150 mm timber 3 m long are 0.45 m³, which is 190.70 board feet.

What does MBF mean in lumber pricing?

MBF means 1,000 board feet; MFBM and MBFT mean the same, and MMBF is a million board feet. A thousand board feet is 83.33 ft³, or 2.36 m³. A price of 600 per MBF is 0.60 per board foot, so an 8-board-foot 2 × 6 × 8 ft costs 4.80 at that rate.

About this calculator

BF=tin×win×Lft12×pieces\text{BF} = \frac{t_{\text{in}} \times w_{\text{in}} \times L_{\text{ft}}}{12} \times \text{pieces}

Sources

  1. USDA Forest Products Laboratory — Wood Handbook (FPL-GTR-282), lumber sizes and measurement
  2. Board foot — 144 in³, exactly 2.359737216 L
  3. NIST Voluntary Product Standard PS 20 — American Softwood Lumber Standard (dressed sizes)

Checked against references

This calculator includes 3 worked examples with independently sourced answers. They run in the test suite, and you can run them here too.

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