No. of sides.

Names.

Surfaces.

Solids.

4

Tetrahedron

1.7321

0.1179

6

Hexahedron

6.

1.

8

Octahedron

3.4641

0.4714

12

Dodecahedron

20.6458

7.6631

20

Icosahedron

8.6603

2.1817

The tabular surface multiplied by the square of one of the boundary lines equals the surface required; or,

The tabular solidity multiplied by the cube of one of the boundary lines equals the solidity required.