Board Foot Calculator
Calculate board feet of lumber from dimensions for pricing and quantity estimation. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Abdullah, Technical Content Specialist
Board Foot Calculator
Calculator
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Formula: Board Feet = (Thickness in. x Width in. x Length ft.) / 12
Worked example โ 64 board feet needed | $896 base cost | ~77 BF with waste ($1,075)
Formula
Board Feet = (Thickness in. x Width in. x Length ft.) / 12
One board foot equals 144 cubic inches of wood, or a piece 1 inch thick, 12 inches wide, and 12 inches long. When length is in feet, divide by 12 instead of 144. Multiply board feet per piece by quantity for total, then by price per BF for cost.
Worked Examples
Example 1: Dining Table Top Material
Problem:You need 8 boards of walnut, each 8/4 thick (2 inches), 8 inches wide, and 6 feet long at $14 per board foot. How many board feet and what is the total cost?
Solution:Board feet per piece = (2 x 8 x 6) / 12 = 96 / 12 = 8 BF Total board feet = 8 BF x 8 pieces = 64 BF Total cost = 64 BF x $14/BF = $896 Plus 20% waste: 64 x 1.2 = 76.8 BF = $1,075.20
Result:64 board feet needed | $896 base cost | ~77 BF with waste ($1,075)
Example 2: Bookshelf Project in Cherry
Problem:Calculate board feet for 12 pieces of 4/4 cherry, 6 inches wide, 4 feet long at $9 per board foot.
Solution:Board feet per piece = (1 x 6 x 4) / 12 = 24 / 12 = 2 BF Total board feet = 2 BF x 12 pieces = 24 BF Total cost = 24 BF x $9/BF = $216 Cost per piece = 2 BF x $9 = $18
Result:24 board feet total | $216 cost | $18 per piece
Frequently Asked Questions
What is a board foot and how is it measured?
A board foot is the standard unit of measurement for hardwood lumber in North America. It represents a piece of wood that is one inch thick, twelve inches wide, and twelve inches long, which equals 144 cubic inches of wood. Board feet measurement accounts for the three-dimensional volume of lumber rather than just the surface area. This system allows lumber yards and woodworkers to price wood consistently regardless of the board dimensions. Unlike construction lumber that is sold by the linear foot in standard dimensions, hardwood is almost always sold by the board foot because boards come in random widths and lengths that vary from piece to piece.
How do you calculate board feet for a piece of lumber?
The board foot formula is: Board Feet = (Thickness in inches x Width in inches x Length in inches) / 144. For convenience, when length is measured in feet instead of inches, the formula becomes: Board Feet = (Thickness x Width x Length in feet) / 12. For example, a board that is 2 inches thick, 8 inches wide, and 10 feet long contains (2 x 8 x 10) / 12 = 13.33 board feet. When calculating for rough lumber, use the actual dimensions. For surfaced lumber (S2S or S4S), you may still be charged based on the rough dimensions before planing. Always confirm with your lumber supplier which dimensions they use for pricing.
Why is hardwood lumber sold by the board foot instead of linear feet?
Hardwood lumber is sold by the board foot because hardwood boards come in random widths and lengths, unlike dimensional softwood lumber that is milled to standard sizes. When a hardwood log is sawn, each board has a different width depending on where it was cut from the log and how the grain runs. Selling by the board foot creates a fair pricing system where you pay for the actual volume of wood you receive regardless of the board dimensions. This also allows customers to mix and match different width boards for their projects while paying a consistent price per unit of wood. Construction softwood like two-by-fours and two-by-sixes are standardized sizes, so they can be priced simply per linear foot or per piece.
What is the difference between nominal and actual lumber dimensions?
Nominal dimensions refer to the rough-sawn size of lumber before any surfacing or drying takes place, while actual dimensions are the finished measurements after planing and kiln drying. A nominal two-by-four actually measures 1.5 by 3.5 inches because planing removes approximately one-quarter inch from each face. For hardwood lumber, a nominal one-inch board (called four-quarter or 4/4) typically measures about 13/16 inch after surfacing. The board foot calculation in lumber pricing is usually based on the nominal thickness rounded up to the nearest quarter inch. This means a 7/8-inch thick board is priced as 4/4 (one inch), and a 1-1/8 inch board is priced as 5/4 (1.25 inches).
What does the quarter system mean for lumber thickness?
The quarter system is the standard way to specify hardwood lumber thickness, where thickness is expressed in quarters of an inch. Common thicknesses include 4/4 (four-quarter, meaning one inch), 5/4 (one and a quarter inches), 6/4 (one and a half inches), 8/4 (two inches), 10/4 (two and a half inches), 12/4 (three inches), and 16/4 (four inches). These represent nominal rough-sawn thicknesses, so a 4/4 board will actually measure approximately 13/16 inch after being surfaced on two sides. Thicker stock like 8/4 and above is significantly more expensive per board foot because larger logs are required and there is more waste in the milling process. Understanding this system is essential when ordering hardwood from a lumber supplier.
How much waste should I factor in when buying lumber?
When purchasing lumber for a project, you should typically add 15 to 25 percent extra beyond your calculated board footage to account for waste. Several factors contribute to waste: defects in the wood such as knots, checks, and sapwood that you may want to cut around can consume 5 to 15 percent of material. Saw kerf (the width of wood removed by each cut) wastes about 1/8 inch per cut. Jointing and planing to achieve flat, square surfaces removes additional material. Complex projects with angled cuts or curved pieces generate more waste than simple rectangular projects. For expensive exotic hardwoods, plan your cuts carefully and order 20 to 30 percent extra. For common domestic species, 15 to 20 percent overage is usually sufficient.
How do hardwood lumber prices vary by species?
Hardwood lumber prices vary dramatically by species based on availability, demand, and growth characteristics. Common domestic species like red oak and poplar typically cost $3 to $7 per board foot. Mid-range species including white oak, cherry, and soft maple range from $6 to $12 per board foot. Premium domestic hardwoods like walnut and hard maple often cost $10 to $18 per board foot. Exotic species can range from $12 to over $50 per board foot, with some rare species like cocobolo or ebony exceeding $100 per board foot. Prices also vary by grade (FAS, Select, Number 1 Common), width, and thickness. Wider and thicker boards command premium prices because they come from larger, older trees that are increasingly scarce.
What are the different grades of hardwood lumber?
Hardwood lumber grading in North America follows the National Hardwood Lumber Association (NHLA) standards. FAS (First and Seconds) is the highest grade, requiring boards to be at least 6 inches wide, 8 feet long, with 83 percent or more clear wood on the worst face. FAS One Face (F1F) requires only one face to meet FAS standards. Select grade is similar to F1F but allows boards as narrow as 4 inches. Number 1 Common requires 67 percent clear cuttings and allows boards as narrow as 3 inches wide and 4 feet long. Number 2 Common requires only 50 percent clear cuttings. Higher grades cost more per board foot but yield more usable wood with fewer defects, so the effective cost difference is often smaller than the price difference suggests.
How do I convert between board feet and other measurements?
Converting between board feet and other units is straightforward once you understand the relationships. One board foot equals 144 cubic inches, or 1/12 of a cubic foot. To convert board feet to cubic feet, divide by 12. To convert cubic feet to board feet, multiply by 12. For square footage coverage, the conversion depends on board thickness. One board foot of 4/4 lumber covers one square foot, one board foot of 8/4 lumber covers only half a square foot, and one board foot of 1/2-inch material covers two square feet. When estimating material for a project measured in square feet, multiply the square footage by the thickness in inches to get the approximate board footage needed. Always add waste allowance to your final calculation.
Should I buy rough-sawn or surfaced lumber for my project?
The choice between rough-sawn and surfaced lumber depends on your workshop equipment and project requirements. Rough-sawn lumber is less expensive per board foot and gives you maximum control over final dimensions since you do all the milling yourself. You will need a jointer and planer to flatten and thickness the boards, but you can achieve exactly the thickness you want. Surfaced lumber (S2S means surfaced on two sides, S4S means all four sides) is more convenient but costs more per board foot and limits your thickness options. If you lack milling equipment, most lumber yards offer surfacing services for an additional per-board-foot fee. For fine woodworking, buying rough-sawn and milling it yourself ensures the flattest, most accurate results since surfaced boards can warp after milling.
References
Background & Theory
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Reviewed for accuracy by Abdullah, Technical Content Specialist ยท Editorial policy
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