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Board Foot Calculator for Logs

How much lumber is in a log? Foresters and sawmills estimate it with log rules — formulas that convert a log’s small-end diameter and length into board feet. This calculator applies the three most common US rules side by side, totals a whole tally of logs, and also works out board feet for sawn lumber, so you can compare what a buyer quotes with what you might saw.

Log board foot calculator

LogSmall-end diameter inside bark (in)Length (ft)Count

Sawn lumber board feet

Log Scale Tables Pack

Printable Doyle and International ¼-inch log scale tables (8–36 in diameter, 8–16 ft), a log tally sheet and a lumber board-foot worksheet.

Formats: PDF, XLSX, DOCX. Instant download after payment (link valid 72 hours, up to 5 downloads). AI-assisted: the templates were drafted with AI help and reviewed and laid out by Kedop.

$5.00 USD, one-time

Secure card checkout by Stripe. Full refund within 7 days — see the refund policy and license.

What is a board foot?

A board foot is a volume of wood 12 inches long, 12 inches wide and 1 inch thick — 144 cubic inches. A 1 × 8 inch board 10 feet long is 1 × 8 × 10 ÷ 12 = 6.67 board feet. Log rules estimate how many board feet of lumber a log will yield after sawing, allowing for the round shape, bark, saw kerf and slabs, which is why the answer is always much less than the log’s total volume.

The three common log rules

RuleFormula (D = small-end diameter in inches, L = length in feet)Character
Doyle(D − 4)² × L ÷ 16Simple; underestimates small logs and overestimates very large ones
Scribner (Decimal C)Based on diagrams of boards in circles; approx. (0.79D² − 2D − 4) × L ÷ 16Common in the West and South; moderate
International ¼-inchMathematical rule assuming a ¼-inch kerf and taper of ½ in per 4 ftClosest to actual mill yield; widely used for research and state sales

Which rule applies depends on your region and buyer — always ask which rule a mill or forester uses.

Worked example: one log, three rules

Rule16 in × 16 ft log
Doyle144 BF
Scribner (formula)166 BF
International ¼″181 BF

The same log is worth up to about 25% more board feet under the International rule than under Doyle. For smaller logs the gap is much larger: a 10-inch, 12-foot log scales about 27 board feet under Doyle but about 46 under International ¼-inch.

How to measure a log

  1. Measure the diameter at the small end, inside the bark, to the nearest inch.
  2. If the end is oval, average the longest and shortest diameters.
  3. Measure length in feet; most rules assume even lengths (8, 10, 12, 14, 16 ft) plus a few inches of trim allowance.
  4. Note defects — rot, splits, sweep, knots — which reduce the net scale.
  5. Record each log on a tally sheet.

Selling logs and timber

Defects and deductions

Gross scale assumes a sound, straight log. Scalers deduct for defects that reduce usable lumber: rot at the ends or in the centre, splits and shakes, sweep and crook, large knots and metal such as nails or fence wire in yard trees. Deductions are often estimated as a percentage of the gross scale or by reducing the effective diameter or length. The tally sheet includes columns for gross board feet, deductions and net board feet.

Tree volume versus log volume

Standing trees are estimated differently: foresters measure diameter at breast height (4.5 ft above ground) and count the number of 16-foot logs up to a merchantable top, then read volume from tree tables built on the same log rules. A log calculator like this one is used once trees are felled and bucked into logs, or to check a buyer’s scale ticket.

Sawing your own lumber

If you mill logs with a portable sawmill, expect your yield to be closest to the International ¼-inch rule for a thin-kerf bandsaw, and lower for a chainsaw mill with a wide kerf. Air-dry lumber stickered and covered, allowing roughly a year per inch of thickness as a rough rule for many hardwoods, and remember that drying shrinks boards slightly.

Lumber board feet

For sawn lumber, board feet = thickness (in) × width (in) × length (ft) ÷ 12. Rough hardwood is sold by nominal quarter thickness: 4/4 (1 in), 5/4, 6/4, 8/4 (2 in). Softwood dimensional lumber (2 × 4, 2 × 6) is usually sold by the piece or linear foot, but board feet let you compare prices across sizes.

Printable log scale pack

The optional pack includes printable Doyle and International ¼-inch log scale tables (diameters 8–36 in, lengths 8–16 ft), a log tally sheet and a lumber board-foot worksheet. The calculator above is free.

AI-assisted content

This page was drafted with AI assistance and reviewed by Kedop. Log rules give estimates; actual yield depends on the log, defects, the mill and the sawyer.

Frequently asked questions

How do I calculate board feet in a log?

Measure the small-end diameter inside the bark and the length, then apply a log rule such as Doyle or International ¼-inch.

What is the Doyle log rule formula?

(D − 4)² × L ÷ 16, with D in inches and L in feet.

Which log rule is most accurate?

International ¼-inch is generally closest to actual sawn yield.

How many board feet are in a 16 inch by 16 foot log?

About 144 (Doyle), about 166 (Scribner formula) or about 181 (International ¼-inch).

How do I calculate board feet of lumber?

Thickness (in) × width (in) × length (ft) ÷ 12.

What does MBF mean?

Thousand board feet — the usual unit for timber prices.

Why is the Doyle rule still used?

It is simple and traditional in parts of the US hardwood trade, though it favours the buyer on small logs.

How much lumber is in a cord of wood?

A cord is a stacked volume of firewood (128 cubic feet), not a lumber measure; logs for sawing are measured in board feet.