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Sphere: 4/3*pi*r3

Tetrahedron: s3*sqrt(2)/12

Cube: s3

Octahedron: s3*sqrt(2)/3

Dodecahedron: s3*[15+7*sqrt(5)]/4

Icosahedron: s3*5/12*(3+sqrt(5)

where r is the radius and s is the length of each edge.

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