Board Foot Calculator — Lumber Volume, Weight & Cost
● Live · Nominal & actual · Free

Board Foot Calculator

Calculate board feet for any lumber from its thickness, width and length — with hardwood quarter sizes, dimensional lumber presets, and the nominal-versus-actual difference shown side by side so you know exactly what you're paying for. Get volume, species weight, cut lists and cost as you type.

Lumber details

Everything updates live — the board drawing too.

Size basis
Lumber is billed on nominal size, but the board you receive is smaller. Both figures are shown in the results.
Quick presets
Hardwood thickness (quarters)
Dimensions
Species & grade
lb/ft³
Waste & cost
%
$
$
$
%
Douglas fir · 2×4 × 8 ft Live
Board×10
Total board feet
53.3 BF
Estimated weight
151 lb
Board feet each5.33 BF
Pieces10
With waste including 15%
Cubic feet
Cubic inches
Cubic meters

Estimate from your inputs. Lumber sizes and pricing vary by supplier — confirm before ordering.

Quick answer

Board feet = (thickness in inches × width in inches × length in inches) ÷ 144. If the length is in feet, divide by 12 instead. One board foot is a piece 1 in thick, 12 in wide and 12 in long — 144 cubic inches. A 2×4 × 8 ft is 5.33 board feet using nominal size. Lumber is billed on nominal dimensions, not the smaller actual size you receive.

At a glance

Key facts

Core formula
T × W × L ÷ 144
1 board foot
144 in³ · 1/12 ft³
Species
19 + custom
Sizes
nominal & actual
Units
in · mm · cm · ft · m
Last updated
2026
Getting started

How to use the board foot calculator

Five steps. The board drawing and both nominal and actual figures update as you type.

Choose nominal or actual

Nominal is the size lumber is sold and billed as; actual is what you measure. The calculator shows both regardless, so you can see the difference.

Tap a preset or type dimensions

Use the 2×4-style presets for construction lumber, or the quarter presets (4/4, 8/4) for hardwood sold by thickness.

Enter length and quantity

Length has its own unit selector because boards are almost always sold in feet while thickness and width are in inches.

Pick the species

Species sets the density so you get a realistic weight, adjusted for moisture content — green lumber can weigh a third more than kiln dried.

Add waste and price

Set a waste allowance for defects and offcuts, enter the price per board foot, then copy, share, print or export the result.

Transparent math

Formula & method

The board foot is a volume unit, not an area unit. Everything below follows from that one idea.

1. The board foot formula

Board feet = (Tₓ × Wₓ × Lₓ) ÷ 144 # all three in inches Board feet = (Tₓ × Wₓ × L  ᵣₓ) ÷ 12 # length in feet — the usual case # 1 board foot = 1 in × 12 in × 12 in = 144 cubic inches = 1/12 cubic foot

Why 144 and 12? A board foot is 144 cubic inches. Dividing inches³ by 144 gives board feet. If you leave the length in feet, you have already divided one dimension by 12, so you only divide by the remaining 12.

2. Nominal vs actual — the part that costs people money

Nominal 2 × 4 × 8 ft → 2 × 4 × 8 ÷ 12 = 5.33 BF Actual 1½ × 3½ × 8 ft → 1.5 × 3.5 × 8 ÷ 12 = 3.50 BF # Same board. A 34% difference in board footage.

Which do you use? Softwood construction lumber is bought and billed by nominal size, so a 2×4 is charged as 5.33 BF even though it delivers 3.5 BF of wood. Rough-sawn hardwood is measured at its rough thickness before surfacing — a 4/4 board planed to 13/16 in is still sold as 4/4. Use nominal for pricing, actual for calculating how much wood you will actually have.

3. Volume, weight and moisture

Cubic feet = Board feet ÷ 12 Cubic meters = Board feet × 0.00236 Weight = Cubic feet × Density × Moisture factor # Douglas fir ≈ 32 lb/ft³ · red oak ≈ 44 · walnut ≈ 38 · pine ≈ 25

4. Waste and cost

Order board feet = Board feet × (1 + Waste%) Total cost = (Board feet × Price per BF + Pieces × Price each + Labor) × (1 + Tax%)

Example — 10 pieces of 2×4 × 8 ft Douglas fir: each is 2 × 4 × 8 ÷ 12 = 5.33 BF, so ten pieces are 53.3 BF. That is 4.44 ft³ of wood which, at 32 lb/ft³ air dried, weighs about 151 lb. With 15% waste you would buy 61.3 BF.

Hardwood is sold in quarters. A "4/4" board is one inch thick in the rough, "5/4" is 1¼ in, "8/4" is 2 in. The fraction is quarters of an inch. Widths are random on rough hardwood, so you measure each board and total the footage — which is exactly what a lumberyard tally sheet does.
Reference table

30 worked lumber examples

Real project quantities with board feet and weight, calculated with the same formulas as the tool above. Weights assume air-dried lumber.

#ProjectLumberSpeciesQtyBF eachTotalWeight
1Hardwood flooring3/4 × 5 in × 8 ftRed oak402.50100.0 BF367 lb
2Deck boards5/4 × 6 in × 12 ftCedar247.50180.0 BF345 lb
3Fence boards1 × 6 in × 6 ftCedar503.00150.0 BF288 lb
4Cabinet face frames4/4 × 3 in × 8 ftHard maple122.0024.0 BF88 lb
5Cabinet door stock4/4 × 6 in × 8 ftCherry104.0040.0 BF117 lb
6Shelving4/4 × 12 in × 8 ftPoplar68.0048.0 BF116 lb
7Pine studs (2×4)2 × 4 in × 8 ftPine505.33266.7 BF556 lb
8Wall plates (2×4)2 × 4 in × 12 ftPine208.00160.0 BF333 lb
9Floor joists (2×10)2 × 10 in × 16 ftDouglas fir1826.67480.0 BF1,280 lb
10Roof rafters (2×8)2 × 8 in × 14 ftDouglas fir2218.67410.7 BF1,095 lb
11Oak boards4/4 × 8 in × 10 ftRed oak156.67100.0 BF367 lb
12Thick oak (8/4)8/4 × 8 in × 10 ftWhite oak813.33106.7 BF418 lb
13Walnut slab8/4 × 20 in × 8 ftWalnut226.6753.3 BF169 lb
14Walnut boards4/4 × 7 in × 8 ftWalnut124.6756.0 BF177 lb
15Table top stock6/4 × 10 in × 8 ftHard maple610.0060.0 BF220 lb
16Table legs12/4 × 4 in × 3 ftCherry43.0012.0 BF35 lb
17Timber beam6 × 8 in × 16 ftDouglas fir464.00256.0 BF683 lb
18Post (6×6)6 × 6 in × 10 ftCedar630.00180.0 BF345 lb
19Bookcase sides4/4 × 11 in × 6 ftBirch45.5022.0 BF79 lb
20Drawer sides1/2 × 5 in × 6 ftPoplar161.2520.0 BF48 lb
21Crown moulding stock5/4 × 5 in × 12 ftPoplar106.2562.5 BF151 lb
22Window trim4/4 × 4 in × 8 ftPine242.6764.0 BF133 lb
23Bench seat8/4 × 12 in × 6 ftTeak312.0036.0 BF123 lb
24Cutting boards8/4 × 6 in × 4 ftHard maple54.0020.0 BF73 lb
25Guitar body blanks8/4 × 8 in × 2 ftMahogany42.6710.7 BF33 lb
26Bed frame rails6/4 × 6 in × 7 ftCherry45.2521.0 BF61 lb
27Workbench top8/4 × 4 in × 8 ftHard maple105.3353.3 BF196 lb
28Metric board (50×150 mm)50 × 150 mm × 3 mPine209.53190.7 BF397 lb
29Metric beam (100×200 mm)100 × 200 mm × 4 mDouglas fir633.90203.4 BF542 lb
30Metric slab (60×400 mm)60 × 400 mm × 2.4 mWalnut224.4148.8 BF155 lb

Board footage uses the dimensions as listed. Softwood entries use nominal sizes as they are billed; hardwood entries use rough thickness in quarters. Add your waste allowance before ordering.

Make sense of it

Understanding your result

What the numbers mean at the lumberyard counter.

Board feet

The billing unit

Hardwood is priced per board foot, so this is the number that determines what you pay. Ask whether the quote is on rough or surfaced dimensions — it changes the total.

Nominal vs actual

What you pay for vs what you get

A 2×4 is billed as 2×4 but measures 1½×3½. That is a 34% gap. Neither figure is wrong; they answer different questions.

Weight

Transport and structure

Species density varies more than threefold between cedar and hickory, and green lumber can weigh a third more than kiln dried. Check before loading a vehicle.

Waste allowance

Defects and offcuts

Rough hardwood needs 15–30% extra for jointing, planing, defects and cutting to length. Dimensional softwood needs far less.

Common mistakes: using actual dimensions when the yard bills nominal (you will under-order); forgetting that surfacing removes material after you have paid for the rough thickness; leaving length in inches while dividing by 12; and ignoring that a board sold as 8 ft is often 8 ft 1 in or longer. Pro tip: when buying rough hardwood, measure and tally each board yourself — widths are random and the total is worth checking.
Compare

Species weight and size basis

Both charts recalculate from your current board footage.

Weight by species

What your lumber volume weighs in each species, at your moisture setting.

Other speciesYour species

Nominal vs actual board feet

How much wood you are billed for compared with what the board actually contains.

Nominal (billed)Actual (delivered)
Bonus tool

Project lumber list

Most projects need several different board sizes. Add each one for a combined board-foot total and cost.

PartQtyT (in)W (in)L (ft)
Total board feet including your waste allowance 0 BF
Reference

Nominal vs actual lumber sizes

Softwood dimensional lumber shrinks when it is dried and surfaced, but keeps its nominal name. These are the standard surfaced-dry sizes in the US.

NominalActual (in)Actual (mm)BF per foot (nominal)BF per foot (actual)
1 × 2¾ × 1½19 × 380.1670.094
1 × 4¾ × 3½19 × 890.3330.219
1 × 6¾ × 5½19 × 1400.5000.344
1 × 8¾ × 7¼19 × 1840.6670.453
1 × 10¾ × 9¼19 × 2350.8330.578
1 × 12¾ × 11¼19 × 2861.0000.703
2 × 41½ × 3½38 × 890.6670.438
2 × 61½ × 5½38 × 1401.0000.688
2 × 81½ × 7¼38 × 1841.3330.906
2 × 101½ × 9¼38 × 2351.6671.156
2 × 121½ × 11¼38 × 2862.0001.406
4 × 43½ × 3½89 × 891.3331.021
6 × 65½ × 5½140 × 1403.0002.521

Sizes for surfaced dry softwood. Rough-sawn and green lumber run closer to nominal, and hardwood uses the quarter system instead. Boards 6 in and wider lose ¾ in rather than ½ in.

Reference

Wood species density & weight

Density drives weight and is a decent proxy for hardness and workability. Figures are for air-dried wood at roughly 12% moisture.

SpeciesTypeDensity (lb/ft³)Weight per BFTypical use
BalsaHardwood90.8 lbModels, cores, buoyancy
Cedar (western red)Softwood231.9 lbDecking, siding, outdoor
Pine (eastern white)Softwood252.1 lbTrim, shelving, general
SpruceSoftwood282.3 lbFraming, soundboards
PoplarHardwood292.4 lbPaint-grade, drawer sides
Douglas firSoftwood322.7 lbFraming, beams, structural
PlywoodPanel342.8 lbSheathing, cabinet carcases
CherryHardwood352.9 lbFurniture, cabinetry
MahoganyHardwood373.1 lbFurniture, boatbuilding
WalnutHardwood383.2 lbFine furniture, gunstocks
OSBPanel403.3 lbSheathing, subfloor
TeakHardwood413.4 lbMarine, outdoor furniture
AshHardwood423.5 lbTool handles, furniture
BirchHardwood433.6 lbPlywood, cabinetry
Red oakHardwood443.7 lbFlooring, furniture, trim
Hard mapleHardwood443.7 lbWorktops, flooring, cutting boards
MDFPanel473.9 lbPaint-grade panels, jigs
White oakHardwood473.9 lbFlooring, barrels, boatbuilding
HickoryHardwood514.3 lbHandles, flooring, smoking

Density varies within a species by growing conditions and moisture. Green lumber can weigh 30–40% more than the air-dried figures shown.

The complete guide

How to calculate and buy lumber by the board foot

What is a board foot?

A board foot is a unit of lumber volume, not area. One board foot is the amount of wood in a piece one inch thick, twelve inches wide and twelve inches long — 144 cubic inches, or one twelfth of a cubic foot. It is the standard way hardwood is bought and sold across North America, and it exists because lumber comes in wildly varying widths and lengths. Pricing by volume lets a yard quote one number per species and grade regardless of whether a board is four inches wide or fourteen.

The key thing to understand is that thickness matters as much as face size. A piece 2 inches thick, 6 inches wide and 12 inches long is exactly the same board footage as a piece 1 inch thick, 12 inches wide and 12 inches long — both contain 144 cubic inches of wood.

Where the measure came from

The board foot dates from an era when sawmills cut to rough dimensions and sold by the volume of timber sawn. Because a mill's cost is driven by the log volume it processes rather than by the finished surface it produces, volume-based pricing matched the economics of the business. That logic survives today in the convention that hardwood is measured at its rough thickness even after it has been surfaced — you pay for the wood the mill cut, not the wood that survived the planer.

The board foot formula

Multiply thickness in inches by width in inches by length in inches, then divide by 144. If the length is in feet — which is how boards are usually sold — divide by 12 instead, because one of the twelves is already accounted for. Both routes give the same answer, and the second is faster for the common case of a board quoted as "eight footer".

For multiple identical boards, calculate one board and multiply by the quantity. For a mixed pile, calculate each size separately and add them up, which is what the project lumber list on this page does.

Nominal vs actual sizes

This is the single most confusing thing about buying lumber, and the source of most estimating errors. A board called a "2×4" measures 1½ by 3½ inches. It was genuinely 2 by 4 inches when it was rough-sawn and green, but drying shrinks it and surfacing planes it, and the industry kept the original name. The pattern is consistent: nominal dimensions under 2 inches lose a quarter inch, dimensions from 2 to 6 inches lose a half inch, and dimensions of 8 inches and above lose three quarters.

So which do you use for board feet? For softwood construction lumber, the yard bills you on nominal size — a 2×4×8 is sold as 5.33 board feet even though it contains only 3.5 board feet of actual wood. For estimating cost, use nominal. For working out whether you have enough material for a glue-up or a tabletop, use actual. This calculator shows both so you never have to guess which one a quote is based on.

Hardwood and the quarter system

Hardwood thickness is quoted in quarters of an inch. A 4/4 board (spoken "four quarter") is one inch thick in the rough; 5/4 is 1¼ inch; 6/4 is 1½; 8/4 is 2 inches; 12/4 is 3 inches. Once a 4/4 board has been surfaced on two faces it typically finishes around 13/16 inch, but it is still sold and billed as 4/4. If you need a full inch of finished thickness, you must buy 5/4 and plane it down.

Hardwood widths are usually random rather than standardised, because a mill saws boards to whatever width the log yields. That is why a hardwood order is tallied board by board rather than counted, and why the ability to total a mixed list quickly is genuinely useful at the counter.

How to measure and tally lumber

Measure thickness at the thinnest point if the board is rough and uneven, since that is what you can actually work with. Measure width at the narrowest point for the same reason, though yards often measure to the nearest inch and may average an irregular board. Length is normally the nominal length; boards are usually cut an inch or two over so you have trim allowance.

When tallying a stack, work in board feet per running foot to speed things up. A 4/4 board 6 inches wide is half a board foot per foot of length, so a 10-foot board is 5 board feet. Keeping those per-foot figures in your head makes checking a yard's tally sheet much faster.

Hardwood vs softwood

The distinction is botanical rather than about actual hardness: hardwoods come from broadleaf deciduous trees and softwoods from conifers. Balsa is technically a hardwood and is softer than any pine. In practice the categories still track the market — hardwoods like oak, maple, walnut and cherry are sold rough by the board foot in random widths for furniture and cabinetry, while softwoods like pine, fir and spruce are sold surfaced in standard dimensional sizes for construction.

That difference in how they are sold matters more for estimating than the wood itself. Hardwood pricing is per board foot and rises steeply with thickness and width; softwood pricing is often per piece for a standard size, even though it is nominally board-foot based.

Plywood and sheet goods

Plywood, MDF and OSB are sold by the sheet, not by the board foot, because they come in a standard 4 by 8 foot format. You can still convert if you need to compare — a ¾ inch 4×8 sheet is 0.75 × 48 × 96 ÷ 144 = 24 board feet — but nobody prices it that way. Sheet goods also have their own nominal quirk: a sheet sold as ¾ inch is often 23/32, and ½ inch is often 15/32, which matters when you are cutting joinery.

Moisture content and weight

Wood weight depends heavily on how wet it is. Freshly sawn green lumber can hold more moisture than the weight of the wood fibre itself, and typically weighs 30 to 40 percent more than the same board kiln dried. Kiln dried stock sits at roughly 6 to 8 percent moisture for interior work; air dried lumber settles around 12 percent depending on climate. This calculator adjusts weight for the moisture setting you choose, which matters when you are working out whether a load will fit in a vehicle.

Moisture also drives movement. Wood shrinks and swells across the grain as it gains and loses moisture, so lumber for interior furniture should be acclimatised to the room it will live in before you mill it to final dimensions.

Lumber grades

Hardwood grading under the National Hardwood Lumber Association system is based on how much clear, defect-free material a board will yield. FAS (Firsts and Seconds) is the top grade with long clear cuttings, followed by Select, then No. 1 Common — often called cabinet grade because it yields plenty of shorter clear pieces at a much lower price. For projects made of small parts, No. 1 Common is frequently better value than FAS, since you are cutting around defects anyway.

Softwood grading works differently, focusing on structural strength for framing lumber and appearance for finish grades. Grade affects both price and how much waste you should allow.

Estimating cost

Multiply total board feet by the price per board foot, and remember to ask whether the quote is based on rough or surfaced dimensions and whether surfacing is included. Many yards charge extra for planing, straight-line ripping and moulding. For softwood, compare the per-piece price to the board-foot equivalent, since a "stud" price is often better than the board-foot rate for the same wood.

Waste factors

Rough hardwood needs the largest allowance: 15 to 30 percent depending on grade, because you lose material jointing one face flat, planing to thickness, ripping an edge straight, and cutting around knots and checks. Surfaced softwood in standard sizes needs far less, often 5 to 10 percent for offcuts. Projects with many short parts waste more than projects with long runs, and figured or highly patterned stock wastes more still because you are selecting for appearance.

Common mistakes to avoid

  • Using actual dimensions when the yard bills nominal — you will order roughly a third short on softwood.
  • Expecting a 4/4 board to finish at a full inch — it finishes closer to 13/16 after surfacing.
  • Leaving length in inches and still dividing by 12 instead of 144.
  • Forgetting thickness — board feet is a volume, so a 8/4 board is twice the footage of a 4/4 board of the same face size.
  • Ignoring moisture when estimating weight for transport.
  • Buying exactly the calculated footage with no allowance for defects and milling.
Answers

Frequently asked questions

The questions people ask most about board feet and buying lumber. Tap any question to expand.

Multiply thickness × width × length, all in inches, then divide by 144. If the length is in feet, divide by 12 instead. A 2×4 that is 8 feet long is 2 × 4 × 8 ÷ 12 = 5.33 board feet.
A board foot is a volume of lumber equal to a piece 1 inch thick, 12 inches wide and 12 inches long — 144 cubic inches, or one twelfth of a cubic foot. It is the standard unit for buying hardwood in North America.
A 2×4 contains 0.667 board feet per foot of length using nominal size, so an 8 ft stud is 5.33 BF, a 10 ft is 6.67 BF and a 12 ft is 8 BF. Using the actual 1½ × 3½ dimensions, an 8 ft 2×4 holds only 3.5 BF of wood.
Use nominal for pricing, because that is what lumber yards bill on. Use actual when you need to know how much wood you will really have — for a glue-up, panel or tabletop. This calculator shows both figures side by side.
It was 2 by 4 inches when rough-sawn and green. Drying shrinks it and surfacing planes it down to 1½ by 3½ inches, but the industry kept the original name. Dimensions under 2 in lose ¼ in, 2–6 in lose ½ in, and 8 in and above lose ¾ in.
It means four quarters of an inch, so one inch thick in the rough. 5/4 is 1¼ in, 6/4 is 1½ in, 8/4 is 2 in and 12/4 is 3 in. After surfacing, a 4/4 board typically finishes around 13/16 in but is still sold as 4/4.
Exactly 12. One board foot is 144 cubic inches and a cubic foot is 1,728 cubic inches. One board foot is also about 0.00236 cubic meters.
Divide the species density by 12, since a board foot is one twelfth of a cubic foot. Pine at 25 lb/ft³ is about 2.1 lb per board foot, red oak at 44 lb/ft³ is about 3.7 lb, and hickory at 51 lb/ft³ is about 4.3 lb. Green lumber weighs 30–40% more.
Work out one board and multiply by the quantity if they are identical. For a mixed pile, calculate each size separately and add the totals — the project lumber list on this page does that automatically.
No, plywood and other sheet goods are sold by the sheet in a standard 4 × 8 ft format. You can convert if you want to compare — a ¾ in 4×8 sheet equals 24 board feet — but no supplier prices it that way.
A board foot measures volume and accounts for thickness and width; a linear foot just measures length along a board. Two boards can be the same linear length but very different board footage if one is thicker or wider.
A square foot measures surface area with no thickness. A board foot measures volume — one square foot of surface at one inch thick. A square foot of 8/4 stock is two board feet.
Allow 15–30% for rough hardwood, because you lose material jointing, planing, ripping and cutting around defects. Surfaced softwood in standard sizes needs less, often 5–10%. Projects with many short parts waste more than long runs.
FAS stands for Firsts and Seconds, the top NHLA hardwood grade, yielding long clear cuttings. Below it are Select and No. 1 Common. For projects made of small parts, No. 1 Common is often better value since you cut around defects anyway.
Multiply board feet by 0.00236. So 100 board feet is about 0.236 cubic meters. To go the other way, multiply cubic meters by 424.
Convert your dimensions to inches and feet first, or set the unit selectors above to millimetres and metres and the calculator converts for you. A 50 × 150 mm board 3 m long is about 9.5 board feet.
Yes, enormously — board feet is a volume. An 8/4 board is twice the board footage of a 4/4 board with the same face dimensions, and costs roughly twice as much.
Log volume is estimated with log rules such as Doyle, Scribner or International ¼-inch, which give different answers for the same log. This calculator works on sawn lumber rather than standing logs — ask your mill which rule they use.
Because it has been surfaced. A 4/4 board planed on two faces typically finishes around 13/16 in, but it is still sold as 4/4 since you are paying for the rough thickness the mill sawed. Buy 5/4 if you need a full finished inch.
Multiply total board feet by the price per board foot, then add milling charges if the yard surfaces or straight-line rips for you. Always ask whether the quote is on rough or surfaced dimensions before comparing prices.
It works out how to get all your required pieces from the fewest stock boards, allowing for saw kerf. The tool on this page uses first-fit-decreasing packing and shows the layout for each board so you can mark up your stock before cutting.
Yes, completely free with no sign-up. You get board feet with nominal and actual sizes, cubic volume, species weight, a project lumber list, a cut list optimizer, cost estimation, plus save, copy, share, CSV export and print.
Editorial

Author & reviewer

CC
Written by
CalculatorSearch Construction Team
Practical building & woodworking content, updated regularly. Reading time: ~14 min.
MC
Reviewed by
Master carpenter
Reviewed for shop and lumberyard accuracy. Last updated 2026. Replace with your named carpenter, cabinetmaker or lumber professional for full E-E-A-T.

Sources & references

National Hardwood Lumber Association (NHLA)
Hardwood grading rules and board-foot tally practice.
American Wood Council (AWC)
Wood construction standards and span guidance.
USDA Forest Service — Forest Products Laboratory
Wood Handbook: density, moisture and shrinkage data.
APA — The Engineered Wood Association
Plywood and engineered panel specifications.
Manufacturer lumber grading guides
Supplier-specific sizes, grades and surfacing.
Local building standards
Regional lumber sizing conventions where applicable.
Disclaimer. This Board Foot Calculator provides estimates based on the dimensions, lumber type, quantity, and assumptions you enter. Actual lumber sizes, usable board footage, grading, moisture content, and material costs may vary by manufacturer and supplier. Always verify dimensions and pricing before purchasing lumber or starting a woodworking or construction project.