🪵 Board Foot Calculator: How to Calculate Board Feet & Lumber Cost

Single board · Multiple boards · Lumber species reference

Board Foot Formula: Thickness (in) × Width (in) × Length (ft) ÷ 12  |  Or: T × W × L (all inches) ÷ 144
Board Dimensions
in
in
ft
$
— BF
Board Feet
per piece
— BF
Total BF
incl. waste
Est. Cost
total
— ft³
Cubic Feet
Full Breakdown
Board Feet per Piece
Quantity
Board Feet (before waste)
Waste Factor
Total Board Feet (with waste)
Volume (cubic inches)
Volume (cubic feet)
Price per Board Foot
Estimated Cost
Formula Used
Board List
Qty Thickness (in) Width (in) Length (ft) BF each BF total
Grand Total Board Feet
$
— BF
Board Feet
before waste
— BF
Total BF
incl. waste
Est. Cost
Total Boards
Summary
Board Feet (raw total)
Waste Factor
Board Feet with Waste
Total Board Count
Estimated Cost
Common Lumber Species — Reference Prices Prices are average retail estimates in USD per board foot. Actual prices vary by region, grade, and supplier.
Hardwoods
SpeciesCommon UseAvg Price / BFNotes
Hard MapleFurniture, floors, cutting boards$4.50–$7.00Very hard, takes stain well
Red OakFurniture, cabinets, flooring$3.50–$5.50Most common US hardwood
White OakBarrels, outdoor furniture$4.00–$6.50Water resistant
Black WalnutFine furniture, gunstocks$8.00–$14.00Premium, high demand
CherryCabinets, furniture$6.00–$10.00Darkens beautifully with age
White AshTool handles, sports equipment$4.00–$6.00Flexible and strong
PoplarPaint-grade projects, trim$2.50–$4.00Budget-friendly hardwood
MahoganyBoatbuilding, fine furniture$7.00–$12.00Classic, stable wood
HickoryTool handles, flooring$4.50–$7.00Hardest US domestic wood
Softwoods
SpeciesCommon UseAvg Price / BFNotes
Douglas FirFraming, structural beams$1.50–$3.00Strong, widely available
Eastern White PinePaneling, shelving, trim$2.00–$3.50Easy to work with
Western Red CedarOutdoor, decking, fencing$3.00–$5.00Naturally rot resistant
RedwoodOutdoor furniture, decking$4.00–$7.00Premium outdoor softwood
Sitka SpruceInstrument tops, aviation$5.00–$9.00High strength-to-weight ratio
Southern Yellow PineFraming, treated lumber$1.00–$2.50Common framing lumber
Nominal vs. Actual Size: A 2×4 is actually 1.5″ × 3.5″. A 1×6 is 0.75″ × 5.5″. Always use actual dimensions, not nominal sizes, when calculating board feet for purchased lumber.
Board Foot Calculator · Single · Multi-Board · Species Reference calculatorzhub.com

For more helpful tools, visit our construction calculator online page and simplify your estimates.

Enter thickness, width, length, and quantity above. The board foot calculator returns total volume, weight, cubic feet, and estimated cost instantly. Tab 2 handles multiple boards with live per-row results. Tab 3 shows species pricing for hardwoods and softwoods.

What Is a Board Foot?

A board foot is the standard unit lumber yards use to measure and price wood by volume. One board foot equals a piece of lumber that is 1 inch thick, 12 inches wide, and 1 foot long.

In numbers: 1 board foot = 144 cubic inches = 1/12 of a cubic foot

This matters because lumber comes in dozens of different thicknesses and widths. Using only length or area gives an incomplete picture. Volume tells you exactly how much wood you are buying regardless of the shape.

You will see board feet abbreviated as BF, bd ft, or FBM (foot board measure) on supplier invoices. Large orders are quoted in MBF — one thousand board feet.

Board Foot Formula

board foot formula diagram showing thickness width length of lumber with measurement labels

How to Calculate Board Feet

The formula has two versions depending on how you measure:

Version 1 — Length in feet: Board Feet = Thickness (in) × Width (in) × Length (ft) ÷ 12

Version 2 — All dimensions in inches: Board Feet = Thickness (in) × Width (in) × Length (in) ÷ 144

Both give the same result. Most woodworkers use Version 1 because length is usually measured in feet.

Step-by-Step Example

A board is 1 inch thick, 6 inches wide, and 8 feet long.

  1. Thickness × Width × Length: 1 × 6 × 8 = 48
  2. Divide by 12: 48 ÷ 12 = 4 board feet

Example With Multiple Boards

You need 15 boards at the same dimensions.

  1. One board = 4 board feet
  2. 4 × 15 = 60 board feet total

Example With Thicker Lumber

A timber beam is 3 inches thick, 8 inches wide, and 12 feet long.

  1. 3 × 8 × 12 = 288
  2. 288 ÷ 12 = 24 board feet

Common Lumber Sizes: Board Feet Per Piece

Nominal SizeActual Size8 ft length10 ft length12 ft length
1×40.75″ × 3.5″2.00 BF2.50 BF3.00 BF
1×60.75″ × 5.5″3.00 BF3.75 BF4.50 BF
1×80.75″ × 7.25″4.00 BF5.00 BF6.00 BF
1×120.75″ × 11.25″6.00 BF7.50 BF9.00 BF
2×41.5″ × 3.5″5.33 BF6.67 BF8.00 BF
2×61.5″ × 5.5″8.00 BF10.00 BF12.00 BF
2×81.5″ × 7.25″10.67 BF13.33 BF16.00 BF
4×43.5″ × 3.5″9.33 BF11.67 BF14.00 BF

Important: These calculations use nominal dimensions (the stated size), not actual dimensions. A 2×4 is actually 1.5″ × 3.5″. When calculating board feet for lumber you have already purchased, always use the actual measured size for accurate results.

Nominal vs. Actual Lumber Size

Every piece of dimensional lumber has two sizes: nominal and actual. The nominal size is what it is called. The actual size is smaller because of surfacing and drying.

NominalActual
1″ thick0.75″
2″ thick1.5″
4″ thick3.5″
6″ thick5.5″
8″ thick7.25″
10″ thick9.25″
12″ thick11.25″

Hardwood dealers often sell rough-sawn lumber at full nominal thickness. A 4/4 board (pronounced “four-quarter”) means 1 inch nominal, and rough-sawn hardwood is typically close to that actual size. Always clarify with your supplier whether the price is based on nominal or actual dimensions.

Hardwood Thickness Notation: Quarter System

Hardwood lumber uses a quarter-inch system for thickness.

NotationThickness
4/41 inch
5/41.25 inches
6/41.5 inches
8/42 inches
10/42.5 inches
12/43 inches

When you enter dimensions into the calculator for hardwoods, convert the quarter notation to decimal inches first. A 6/4 board is 1.5 inches thick.

Waste Factor: Why You Should Order More

Raw board feet tells you the minimum amount of wood your project requires. It does not account for cutting losses, defects, or grain matching.

Always add a waste factor before ordering:

Project TypeRecommended Waste
Simple shelving, paint-grade5–10%
Furniture with clear lumber10–15%
Figured or exotic hardwood15–20%
Complex joinery, grain matching20–25%

The calculator includes a waste factor selector. Set it to 10% for most projects. Set it to 15–20% when working with hardwood that has natural character, knots, or color variation you need to work around.

Kerf loss (the material removed by the saw blade) adds roughly 1/8 inch per cut. On a project requiring many rip cuts, this accumulates. Add it to your waste estimate.

How to Calculate Board Feet in a Log

Calculating board feet from a standing tree or raw log uses a different approach. The most common method is the Doyle Log Scale.

Doyle Formula: Board Feet = (Diameter in inches − 4)² × Log Length in feet ÷ 16

Log Board Foot Example

A log is 16 inches in diameter and 12 feet long.

  1. Diameter minus 4: 16 − 4 = 12
  2. Square it: 12² = 144
  3. Multiply by length: 144 × 12 = 1,728
  4. Divide by 16: 1,728 ÷ 16 = 108 board feet

The Doyle scale is used most widely in the eastern United States. It tends to underestimate yield on small logs and overestimate on large ones. The International 1/4-inch scale and Scribner scale are used in other regions.

Lumber Prices Per Board Foot

Lumber pricing varies by species, grade, moisture content, and region. The species pricing tab in the tool above shows average retail estimates. Here is a summary of typical price ranges:

Budget Hardwoods ($2.50–$5.50/BF): Poplar, Red Oak, White Ash — good choices for painted furniture, shop cabinets, and beginner projects.

Mid-Range Hardwoods ($4.00–$8.00/BF): Hard Maple, White Oak, Cherry — suited to furniture, cabinetry, and flooring.

Premium Hardwoods ($8.00–$14.00/BF): Black Walnut, Mahogany — fine furniture, heirloom pieces, and specialty work.

Softwoods ($1.00–$5.00/BF): Southern Yellow Pine and Douglas Fir start under $2/BF. Western Red Cedar and Redwood run $3–$7/BF for outdoor and finish-grade material.

Prices above reflect rough-sawn or S4S (Surfaced Four Sides) retail pricing. Wholesale orders (10+ MBF) price significantly lower.

Board Foot vs. Linear Foot

These two units measure different things and are not interchangeable.

Linear foot measures only length. A 10-foot board equals 10 linear feet regardless of thickness or width.

Board foot measures volume. The same 10-foot board measures differently depending on thickness and width.

A 1×6 at 10 feet = 5 board feet. A 2×6 at 10 feet = 10 board feet.

Both are 10 linear feet. But the 2×6 has twice the wood by volume.

Framing lumber is often priced by linear foot. Hardwood flooring and cabinet-grade lumber is almost always priced by board foot. Confirm the pricing unit with your supplier before comparing quotes.

Frequently Asked Questions

Using nominal dimensions: 2 × 4 × 8 ÷ 12 = 5.33 board feet. Using actual dimensions (1.5″ × 3.5″): 1.5 × 3.5 × 8 ÷ 12 = 3.5 board feet. Lumber yards typically sell dimensional lumber by the piece, not by board foot. Hardwood dealers use board feet, so use actual dimensions for those purchases.

Square feet measures area (length × width). Board feet measures volume (length × width × thickness). A 1-inch thick board covering 10 square feet contains 10 board feet. A 2-inch thick board covering the same 10 square feet contains 20 board feet. Thickness is the key difference.

Use the Doyle Log Scale: (Diameter − 4)² × Length ÷ 16. For a 12-inch diameter, 10-foot log: (12−4)² × 10 ÷ 16 = 64 × 10 ÷ 16 = 40 board feet. The Doyle formula is the most common in the US and is built into sawmill contracts and timber cruising.

It means 1 inch nominal thickness in the quarter-inch measurement system used by hardwood dealers. 6/4 = 1.5 inches, 8/4 = 2 inches, 12/4 = 3 inches. Rough-sawn 4/4 hardwood is typically sold close to full 1-inch thickness, unlike dimensional softwood which is surfaced down to 0.75 inches.

Add 10% for simple projects with standard lumber. Add 15% for hardwood furniture where you need to work around defects. Add 20–25% for figured wood, complex joinery, or species with significant color variation like Sapele or Quartersawn White Oak.

MBF stands for one thousand board feet. Wholesale lumber is priced per MBF. If a supplier quotes $800/MBF, the price per board foot is $0.80. Divide the MBF price by 1,000 to get the per-board-foot price for use in this calculator.

Related Calculators

Conclusion

Knowing how to calculate board feet prevents over-ordering, under-ordering, and supplier pricing confusion. Enter your actual dimensions, not nominal sizes. Add a waste factor before placing your order. Use the species pricing tab to sanity-check supplier quotes before committing.

This board foot calculator handles single boards, full project lists, and log calculations in one place.