Tree Volume Calculator

Work out tree volume instantly with clear inputs, formula shown and shareable results.

About Tree Volume Calculator

Multiplies basal area by height and a form factor that accounts for taper from the cylinder assumption.

Formula

Stem volume

Basal area = pi x (DBH/2)^2; volume = basal area x height x form factor, with 0.5 a common default for conifers

Worked example

With the default values below, Tree Volume Calculator returns Stem volume of 1.1310. Change any input above and every figure here is recalculated in your browser.

Inputs used

Diameter at breast heightaccepts 1–400 cm: 40 cm
Merchantable heightaccepts 0.5–120 m: 18 m
Form factoraccepts 0.2–0.9: 0.5

Results

Stem volume: 1.1310 m3
Basal area: 0.12566 m2
Volume as a full cylinder: 2.2619 m3
Stem volume: 39.940 ft3

Step by step

1Values used
2Stem volume
3Stem volume= 1.1310 m3
4Basal area= 0.12566 m2
5Volume as a full cylinder= 2.2619 m3
6Stem volume= 39.940 ft3

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 5 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is a form factor?

The ratio of true stem volume to the volume of a cylinder of the same diameter and height, typically 0.4 to 0.55.

Does it include branches?

No. Stem volume covers the merchantable bole; branch and root biomass need separate allometric equations.