# Cube Formulas

In geometry, a cube is a regular hexagon with six square faces. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is the only regular hexahedron and is one of the five Platonic solids.

## Surface area of a cube

$$S=6a^{2},$$

where,

a— cube side length.

## Volume of a cube

$$V=a^{3},$$

a— cube side length.

## Face diagonal

Face diagonal of a cube is a diagonal on one of the faces.

$$d=a \sqrt{2}$$

## Space diagonal

Space diagonal (also interior diagonal or body diagonal) of a cube is a line connecting two vertices that are not on the same face.

$$d=a \sqrt{3}$$