# cube

Borg cube from Star Trek.

A cube is the Platonic solid that has a
square for every one of its six faces; it also has 12 edges and eight
vertices (corners). The 60' × 30' × 30' Double Cube Room of
Wilton House (the seat of the Earl of Pembroke), near Salisbury, is
considered, together with the Single Cube Room of the same domicile,
among the finest surviving rooms in England from the mid-seveneenth century.
A favorite with film-makers, it has provided locations for *Barry
Lyndon* by Stanley Kubrick, *The Madness of King George*, and *Sense and Sensibility*.

A **unit cube** is a cube with edge length 1.

To cube something is to raise it to the power of three. The result
of cubing is a **cube number**: 1^{3} = 1, 2^{3} = 8, 3^{3} = 27, and so on. To take the **cube root** is the reverse process; thus, 4 cubed (4^{3}) is 64 and the
cube root of 64 is 4.

A **cuboid**, also called a rectangular prism, is a hexahedron all of the faces of which are rectangles and all of the opposite faces of
which identical.

For cube dissection problems, see Hadwiger problem, Slothouber-Graatsma puzzle, and Soma cube.