\[V = \frac{\sqrt{2}}{3} a^3\]
Variables
Vvolume of octahedron (m^3)
aedge length of octahedron (m)
A_baseinternal reference cross-section area (m^2)
Description
What is this formula?
This formula calculates the volume of a regular octahedron using only its edge length.
When to use it
It is used in geometry, crystallography, and 3D modeling when working with octahedral solids.
Example
If a = 3 m:
V = (√2 / 3) * 3^3
V = (√2 / 3) * 27
V = 9√2 m³
Applications
- Molecular geometry
- Crystal structures
- 3D geometry modeling
- Engineering design