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Platonic solids
Gives volumes based on side length.
Mathematics index
Properties of solids index
The volumes of the tetrahedron, cube, octahedron, dodecahedron and icosahedron are calculated by known formulae.
Side length
Tetrahedron volume
units³
M units³
µ units³
Cube volume
units³
M units³
µ units³
Octahedron volume
units³
M units³
µ units³
Dodecahedron volume
units³
M units³
µ units³
Icosahedron volume
units³
M units³
µ units³
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The Platonic solids are the only five solids in which all faces are identical regular polygons, interchangable by symmetry operations.