Board Foot Calculator

Work out board feet for a whole cut list — multiple board sizes, nominal or actual dimensions, waste allowance, and total lumber cost. Free, no ads, with log scales included.

A nominal 2x4 actually measures 1½″ × 3½″ after surfacing. Leave this on to calculate what you really get; turn it off to price rough/nominal stock.

Lumber sizeThickness (in)Width (in)Length (ft)PiecesBoard feet (board feet)Price (optional)
Board foot (BF)
The standard US lumber volume unit: 1 ft × 1 ft × 1 in = 144 cubic inches. Formula: length (ft) × width (in) × thickness (in) ÷ 12.
Nominal vs actual
A "2x4" is named for its rough-sawn size but measures 1½″ × 3½″ after drying and surfacing (S4S).
4/4, 8/4 (quarters)
Hardwood thickness jargon: 4/4 = 1 inch rough, 8/4 = 2 inches. Priced per board foot at hardwood dealers.
Doyle log rule
The most common US hardwood log scale: BF = ((D − 4) ÷ 4)² × L, with D the small-end diameter in inches and L the length in feet.
MBF
Thousand board feet — the wholesale trading unit for softwood lumber.

Board Foot Calculator: Cut Lists, Nominal Sizes & Log Scales

A board foot (BF) is the standard unit for measuring lumber volume in the United States and Canada: a piece of wood 12 inches long, 12 inches wide, and 1 inch thick, or 144 cubic inches total. The formula is simple once you know it — length in feet times width in inches times thickness in inches, divided by 12 — but almost every real-world lumber calculation trips people up in the same two places: whether "2x4" means the rough trade name or the smaller size you actually get after milling, and which log rule a seller is quoting when they price a log by the board foot. This calculator is built to handle both, plus the one thing a single-board tool cannot do at all: price out a whole project cut list of different board sizes in one pass.

The US and Canada settled on the board foot in the 19th century because it scales naturally with how lumber is actually sold — by length off a mill run, in whatever width and thickness a customer orders — rather than in fixed sheet or bundle units. Hardwood dealers, framing lumberyards, and log buyers all still think in board feet (or thousand board feet, "MBF," at wholesale), so it remains the number you need whether you are buying a handful of oak boards for a shelf or scaling standing timber before a harvest.

Below is a complete, step-by-step guide: how to calculate board feet by hand with a full worked example, how nominal and actual dimensions differ (with a full 2x4-through-2x12 and 4/4-through-16/4 conversion table), how the Doyle, Scribner, and International ¼-inch log rules can give three different answers for the exact same log, how to convert board feet to cubic meters, cubic feet, and linear feet, realistic 2026 US lumber pricing by species, and buying tips for lumberyards versus big-box stores.

How to Calculate Board Feet: Step-by-Step

The board foot formula is: board feet = (thickness in inches x width in inches x length in feet) / 12. If your length is also in inches rather than feet, use board feet = (thickness x width x length, all in inches) / 144 — the 144 is simply 12 inches x 12 inches, the cross-section of one board foot.

Here is the exact worked example that most lumber calculators (including Omni Calculator's own board foot tool) use to illustrate the formula, reproduced in full so you can check this calculator against it: 5 boards, each 8 feet long, 10 inches wide, and 1.25 inches thick, at a price of $4.15 per board foot.

  1. Convert the thickness and width to a single board's footage: 8 ft x 10 in x 1.25 in / 12 = 8.333 board feet per board.
  2. Multiply by the number of identical boards: 8.333 BF x 5 boards = 41.67 board feet total.
  3. Multiply the total board footage by the price per board foot: 41.67 BF x $4.15/BF = $172.92 total cost.
  4. Add a waste allowance if you are buying rough or budget-grade stock: at a typical 10% allowance, 41.67 BF becomes 45.83 BF, or about $190.21 before tax.

A Second Example: Why a Single-Board Calculator Is Not Enough

Real projects are almost never one board size. A calculator that only handles one thickness, width, and length at a time — which is how Omni Calculator's tool and most competitors work — forces you to run the calculation over and over and add the results up yourself, or worse, tally on paper and risk a mistake. This tool's cut-list mode adds as many rows as you need and totals them automatically. Here is a realistic mixed-size example: framing a small deck or shed wall with 2x4s, 2x6s, and 2x8s.

  • 10 pieces of 2x4 (actual 1.5" x 3.5"), 8 ft long: 8 x 3.5 x 1.5 / 12 = 3.5 BF each x 10 = 35 board feet.
  • 6 pieces of 2x6 (actual 1.5" x 5.5"), 10 ft long: 10 x 5.5 x 1.5 / 12 = 6.875 BF each x 6 = 41.25 board feet.
  • 4 pieces of 2x8 (actual 1.5" x 7.25"), 12 ft long: 12 x 7.25 x 1.5 / 12 = 10.875 BF each x 4 = 43.5 board feet.
  • Cut list total: 35 + 41.25 + 43.5 = 119.75 board feet.
  • At $4.15 per board foot, that is 119.75 x $4.15 = $496.96 before any waste allowance or sales tax — a single total pulled from three different board sizes in one pass, something a one-size-at-a-time calculator cannot produce without manual addition.

Nominal vs. Actual Lumber Dimensions

A "2x4" does not measure 2 inches by 4 inches. The nominal size is the rough-sawn size before the board is dried and surfaced on four sides (S4S); the actual size, which is what you take home and what your project actually uses, is smaller. A nominal 2x4 measures 1.5" x 3.5" actual — that is a 25% reduction in width and a 12.5% reduction in thickness, which is why skipping this step is the single most common source of bad estimates. Hardwood lumber uses a different, thickness-only naming system based on quarters of an inch — 4/4 ("four-quarter") is 1 inch of rough thickness, 8/4 is 2 inches, and so on — and hardwood boards are typically sold with random, ungraded widths rather than fixed nominal widths.

Use this calculator's "actual dimensions" toggle to switch between the two: leave it on to find out how much lumber you will really receive and pay for at a store or yard, or turn it off if you are pricing rough-sawn or full-nominal stock, which some sawmills and hardwood suppliers still sell direct.

  • 1x2 nominal -> 0.75" x 1.5" actual
  • 1x3 nominal -> 0.75" x 2.5" actual
  • 1x4 nominal -> 0.75" x 3.5" actual
  • 1x6 nominal -> 0.75" x 5.5" actual
  • 1x8 nominal -> 0.75" x 7.25" actual
  • 1x10 nominal -> 0.75" x 9.25" actual
  • 1x12 nominal -> 0.75" x 11.25" actual
  • 2x4 nominal -> 1.5" x 3.5" actual
  • 2x6 nominal -> 1.5" x 5.5" actual
  • 2x8 nominal -> 1.5" x 7.25" actual
  • 2x10 nominal -> 1.5" x 9.25" actual
  • 2x12 nominal -> 1.5" x 11.25" actual
  • 4x4 nominal -> 3.5" x 3.5" actual
  • 4/4 hardwood -> 1" rough thickness (roughly 13/16" to 7/8" after S2S surfacing)
  • 5/4 hardwood -> 1.25" rough thickness
  • 6/4 hardwood -> 1.5" rough thickness
  • 8/4 hardwood -> 2" rough thickness
  • 10/4 hardwood -> 2.5" rough thickness
  • 12/4 hardwood -> 3" rough thickness
  • 16/4 hardwood -> 4" rough thickness

Log Scaling: Doyle vs. Scribner vs. International 1/4-Inch

When you are buying or selling standing or felled logs rather than milled boards, board footage is estimated with a "log rule" — a formula or table that predicts how much lumber a mill can saw out of a log, given its small-end diameter (inside the bark) and its length. The catch, and a real gap most online calculators (including Omni's) do not cover at all, is that the three log rules in common US use do not agree with each other, sometimes by a wide margin, because each one models saw kerf and slabbing losses differently.

Doyle is the oldest and most widely used rule for hardwood sawlogs east of the Rockies, and it has a simple exact formula: BF = ((D - 4) / 4)^2 x L, where D is small-end diameter in inches and L is length in feet. Doyle systematically undervalues small-diameter logs because its assumed saw kerf and slabbing loss do not scale down with the log — the smaller the log, the more Doyle underestimates actual mill yield. Scribner (Decimal C) is a diagram-based rule, built from actual saw-cut diagrams for logs of each diameter, that is standard in the Pacific Northwest and on much public timber; because it is table-based rather than a clean formula, mills and buyers look it up rather than compute it. International 1/4-inch is a newer rule that adds a specific 1/4-inch-per-4-foot-section kerf allowance and is generally regarded by foresters as the closest of the three to actual mill output, especially for smaller logs, which is why many public agencies specify it for timber sales.

To show how much the three rules can diverge on the same log, take a 20-inch small-end-diameter log, 16 feet long — a size commonly used in forestry extension examples. Doyle gives ((20 - 4) / 4)^2 x 16 = 4^2 x 16 = 256 board feet exactly, by the formula above. Scribner Decimal C, read from the standard published log-scale table for that diameter and length, comes out meaningfully higher, in the neighborhood of 380 board feet. International 1/4-inch lands in between the two, typically cited around 315-320 board feet for a log this size. On the same physical log, Doyle can under-report actual sawn yield by 30% or more compared with Scribner or International 1/4-inch — which is exactly why it matters to ask, and confirm, which rule a quoted log price is based on before you compare offers from two different buyers or mills.

Board Foot Conversions: m3, ft3, and Linear Feet

Because a board foot is a volume unit (144 cubic inches), it converts cleanly to metric and imperial volume units, and — for a fixed board thickness and width — to a simple linear-feet figure as well. This calculator converts your cut-list or log total to m3 and ft3 automatically; the reference figures below let you do a quick sanity check or convert by hand.

  • 1 board foot = 144 cubic inches = 0.002360 m3 (roughly 1 m3 = 424 board feet).
  • 1 board foot = 0.08333 cubic feet (roughly 1 ft3 = 12 board feet).
  • 1 m3 = 35.31 ft3, the standard cubic-meter-to-cubic-foot conversion used to cross-check the two totals.
  • Linear feet per board foot depends on the board's actual cross-section: for a 2x4 (1.5" x 3.5" actual), 1 board foot = about 2.29 linear feet; for a 1x12 (0.75" x 11.25" actual), 1 board foot = about 1.42 linear feet.
  • To convert your own board size: linear feet per board foot = 12 / (actual width in inches x actual thickness in inches).

How Lumber Is Actually Priced in the US

Hardwood and softwood framing lumber are priced completely differently in the US trade, and knowing which applies to what you are buying will save you from comparing two numbers that are not actually comparable. Hardwood — oak, maple, walnut, cherry, and similar species sold at specialty hardwood dealers and small mills — is priced per board foot, exactly as this calculator computes it, with the price varying by species, grade (FAS, Select, or #1/#2 Common under National Hardwood Lumber Association grading rules), and whether the stock is kiln-dried or air-dried. Softwood dimension and framing lumber — SPF (spruce-pine-fir), Douglas fir, and southern yellow pine 2x4s, 2x6s, and similar construction-grade stock — is instead priced per MBF (thousand board feet) at the wholesale and mill level, then converted to a per-piece shelf price at retail and big-box stores; the MBF price is also the number reported daily by lumber-futures and price-index services.

Realistic 2026 US retail price ranges by species (per board foot, hardwood, S2S surfaced, kiln-dried unless noted) are useful for sanity-checking a quote, though actual prices swing with regional supply, grade, and current market conditions:

  • Red oak: roughly $4.00-$6.50 per board foot at a hardwood dealer — this calculator's $4.15 default price sits at the lower end of that typical red oak range.
  • Hard maple: roughly $5.00-$8.00 per board foot.
  • Black walnut: roughly $8.00-$14.00 per board foot, and often considerably more for wide, figured, or thick (8/4+) stock.
  • Cherry: roughly $6.00-$9.50 per board foot.
  • Framing lumber (SPF/Douglas fir dimension stock): commonly quoted per MBF at roughly $350-$650 per MBF depending on species, grade, and market conditions, which works out to well under $1 per board foot at retail for standard construction-grade 2x4s and 2x6s — a very different price tier from hardwood.

Species, Grading, and Buying Tips

For furniture, cabinetry, and fine woodworking, the most common US hardwoods are red and white oak, hard and soft maple, black walnut, and cherry, each graded under National Hardwood Lumber Association (NHLA) rules — FAS (First and Seconds) being the highest common grade, down through Select and the #1/#2 Common grades used for shorter or narrower cuttings. For framing and general construction, Spruce-Pine-Fir (SPF) and Douglas fir dominate, graded and stamped under standards set or accredited by the American Lumber Standards Committee (ALSC), which is what puts the grade stamp (species group, grade, and moisture content) on every piece of construction-grade dimension lumber you buy.

A specialty hardwood dealer or sawmill will almost always beat a big-box home center on price per board foot, species selection, and thickness options (4/4 through 16/4 and beyond), and will typically sell hardwood by random width and length rather than fixed nominal sizes — you pay for the board footage you actually take, which is exactly what this calculator is built to total up. Big-box stores are convenient for standard framing dimension lumber, common softwood project boards, and small quantities, but carry a narrower hardwood selection at a higher markup per board foot.

Kiln-dried (KD) lumber is dried in a controlled kiln to roughly 6-8% moisture content, is more dimensionally stable, and is the standard choice for furniture and indoor cabinetry; it costs more than air-dried stock. Air-dried (AD) lumber is stacked and dried naturally over months or years to somewhat higher moisture content (commonly 12-20% depending on climate and time), costs less, and is favored by some woodworkers for certain species and color characteristics, but needs to acclimate further indoors before fine work and is less consistent from board to board. Always ask which drying method you are buying, since it affects both price per board foot and how much additional wood movement to plan for.

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