Cube - Formulae | Technology Trends

Formulae

For a cube of edge length ,

surface area
volume
face diagonal
space diagonal
radius of circumscribed sphere
radius of sphere tangent to edges
radius of inscribed sphere
angles between faces (in radians)

As the volume of a cube is the third power of its sides, third powers are called cubes, by analogy with squares and second powers.

A cube has the largest volume among cuboids (rectangular boxes) with a given surface area. Also, a cube has the largest volume among cuboids with the same total linear size (length+width+height).