Quickly determine the volume of a regular octahedron using this octahedron volume calculator. Enter the edge length of the octahedron.
a = edge length of the octahedron
V = volume
This octahedron volume formula calculates the volume by cubing the edge length and multiplying by √2/3.
| Edge length (a) | Volume (V) |
|---|---|
| 2 | 1.885618 |
| 3 | 4.242641 |
| 4 | 7.542487 |
| 5 | 11.785113 |
| 6 | 17.088007 |
To compute octahedron volume manually:
1. Measure the edge length (a).
2. Cube the edge length (a³).
3. Multiply by √2 / 3 to get the volume: V = (√2 / 3) × a³.
This octahedron volume calculator instantly computes the volume with up to six decimal places. Ideal for students, mathematicians, and engineers.
• An octahedron has 8 triangular faces and 6 vertices.
• It is one of the five Platonic solids.
• The octahedron appears in crystals like fluorite.
• Dual of the cube is an octahedron.
• Useful in geometry, 3D modeling, and structural design.