This calculator helps you find the volume of a regular octahedron, which is a three-dimensional shape with eight equilateral triangle faces. It is designed for students, educators, and geometry enthusiasts who need accurate volume calculations.
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Volume:
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Data Source and Methodology
All calculations are based on the formula for the volume of a regular octahedron, sourced from standard geometry texts.
The Formula Explained
The volume \( V \) of a regular octahedron is given by:
\( V = \frac{\sqrt{2}}{3} \times a^3 \)
Glossary of Terms
- Side Length (a): The length of one side of the octahedron.
- Volume (V): The space occupied by the octahedron.
Frequently Asked Questions (FAQ)
What is a regular octahedron?
A regular octahedron is a polyhedron with eight faces, all of which are equilateral triangles.
How do you calculate the volume of a regular octahedron?
The volume is calculated using the formula \( V = \frac{\sqrt{2}}{3} \times a^3 \).