Matematika

Kalkulačka osemstenníka

Octahedron

Edge length (a)

What is Octahedron Calculator?

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Calculates regular octahedron volume, surface area, and properties from edge length.

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Vzorec

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f(x)Volume = (√2 / 3) × a³ where a = edge length

Variable Legend

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Symbol	Meno	Jednotka	Popis
a	edge length	—	edge length

How to Octahedron Calculator

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1Volume = (√2 / 3) × a³ where a = edge length
2Surface area = 2√3 × a²
3Circumradius = a / √2
4Has 8 equilateral triangle faces, 6 vertices

Worked Examples

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Example 1

Given:edge=4cm

Výsledok:Vol 30.17

Frequently Asked Questions

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How does octahedron relate to tetrahedron?

Dual polyhedra; octahedron vertices at tetrahedron edge midpoints and vice versa.

Where are octahedra found?

Fluorite crystal structure, some metal oxide structures; less common than tetrahedra.

Common Mistakes to Avoid

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!Confusing octahedron with cube
!Using wrong coefficient in formulas

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Did you know?

Octahedron has 8 faces, 6 vertices, 12 edges; Euler formula V - E + F = 2.

References

›Octahedron Calculator

📖Difficulty:Intermediate

Deep Dive

Read the full guide on how to use this calculator effectively

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Reviewed October 2026

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