Octahedron Volume Calculator

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

About Octahedron Volume Calculator

A regular octahedron is two square pyramids glued base to base. Its volume is (√2/3)a³ and its eight equilateral faces total 2√3·a².

Formulas

Volume

V = (√2/3)a³

Surface area

S = 2√3·a²

Circumradius

R = a√2 / 2

Worked example

With the default values below, Octahedron Volume Calculator returns Volume of 58.9256. Change any input above and every figure here is recalculated in your browser.

Inputs used

Edge lengthminimum 0: 5
Number of solidsminimum 1: 1

Results

Volume: 58.9256
Surface area (8 triangles): 86.6025
Circumradius: 3.5355
Combined volume: 58.9256

Step by step

1Values used
2Volume
3Surface area
4Circumradius
5Volume= 58.9256
6Surface area (8 triangles)= 86.6025
7Circumradius= 3.5355
8Combined volume= 58.9256

Assumptions and limits

The result is derived only from the 2 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 4 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

How many faces, edges and vertices?

Eight faces, twelve edges and six vertices: 6 − 12 + 8 = 2.

What is its dual?

The cube. Octahedron and cube are dual Platonic solids.