Octahedron Calculator

A regular octahedron is a solid with eight identical equilateral triangle faces — it looks like two square pyramids glued together at their bases, and it's the shape of many natural crystals (like fluorite) and the classic 8-sided gaming die.

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Volume -
Surface Area -
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What Is a Regular Octahedron Calculator?

A regular octahedron is a solid with eight identical equilateral triangle faces — it looks like two square pyramids glued together at their bases, and it's the shape of many natural crystals (like fluorite) and the classic 8-sided gaming die. This calculator finds the volume and surface area from a single edge length.

How to Use This Regular Octahedron Calculator

  1. Measure one edge of the octahedron (all edges are equal in a regular octahedron).
  2. Enter the edge length into the field above.
  3. Click Calculate to get the volume and total surface area.

Formula

Worked Example

An octahedral crystal has an edge length of 4 cm. Volume = (√2/3) × 4³ ≈ 30.17 cm³. Surface Area = 2√3 × 4² ≈ 55.43 cm².

Frequently Asked Questions

What is an octahedron?

A 3D shape with 8 triangular faces, 6 vertices, and 12 edges — like two pyramids joined at their bases.

How is octahedron volume calculated?

Volume = (√2/3) × edge length³.

Where does this shape appear?

In octahedral crystal structures and as an 8-sided die (d8) in gaming.

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