Volume of an Octahedron
Volume of an Octahedron
\[V = \frac{\sqrt{2}}{3} a^3\]
Variables
V = volume of octahedron (m^3)
a = edge length of octahedron (m)
A_base = internal 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
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