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.
Calculator
Results
Volume:
N/A
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 \( V = \frac{\sqrt{2}}{3} \times a^3 \).
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
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Formula (extracted text)
The volume \( V \) of a regular octahedron is given by: \( V = \frac{\sqrt{2}}{3} \times a^3 \)
Variables and units
- No variables provided in audit spec.
Sources (authoritative):
- NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures - FTC — Consumer advice — consumer.ftc.gov · Accessed 2026-01-19
https://consumer.ftc.gov/
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.