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Math Calculators

Octahedron Volume Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
units
Verified formula Private

Volume

101.8234

Surface area
124.7077

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Octahedron Volume Calculator

The Octahedron Volume Calculator works out your volume, along with 1 related figure in an instant. Enter edge length and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the edge length.
  2. Read off your volume, together with surface area — the calculator updates automatically, with no button to press.

Formula

The Octahedron Volume Calculator uses the formula:

Volume = √(2) ÷ 3 × Edge length ^ 3

Worked example

For example, with edge length of 6 units, the volume is 101.8234.

Inputs used
Edge length 6 units
Results
Volume 101.8234
Surface area 124.7077

Results are estimates for educational use, not professional advice.

Key terms explained

Surface area
The total area of all the outer faces of a three-dimensional object.
Volume
The amount of three-dimensional space an object occupies, measured in cubic units.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

For a regular octahedron, V = √2 ⁄ 3 × edge³. An edge of 6 gives a volume of about 101.82 cubic units.

It is a Platonic solid with eight identical equilateral triangle faces, like two square pyramids joined at their bases.

Surface area is 2√3 × edge², the total of its eight equilateral triangle faces.

Some crystals, such as diamond and fluorite, form octahedral shapes, and dice with eight faces are octahedrons.

The Octahedron Volume Calculator uses the formula: Volume = √(2) ÷ 3 × Edge length ^ 3. For example, with edge length of 6 units, the volume is 101.8234.

Enter the edge length. Read off your volume, together with surface area — the calculator updates automatically, with no button to press.

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