Cuboid

A cuboid is a body with

• Six rectangular faces, whose angles are all right angles,
• Eight right-angled corners and
• Twelve edges, of which each have four equal length and are mutually parallel.

Opposite faces of a cuboid are congruent ( congruent ).

Special cuboid

In the special case of equal edge lengths, in which all surfaces of the cube are squares, there is a cube. In the event that exactly two edge lengths are equal ( ), one speaks occasionally of a square plate () and a square column ().

Generalizations

• A three-dimensional body with six pairs of parallel faces called parallelepiped, regardless of the squareness. Thus, each cuboid is a rectangular parallelepiped.
• Each cube is a prism with a rectangular base.
• Occasionally, the term is expanded to the cuboid -dimensional space, so in particular for a two-dimensional rectangle, an interval or a distance as one-dimensional, and a point can be called a zero-dimensional cube. In higher-dimensional polytopes, the terms hypercube, hyper rectangle - dimensional box or even -dimensional interval are used.