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.

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

where,

aā cube side length.

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

aā cube side length.

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

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

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

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