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Cuboid with space diagonal  d
Unfolded mesh of a cuboid

A cuboid (also right- sided and sometimes right-sided ) is a body that is bounded by six rectangles .

A cuboid possesses

Opposite surfaces of a cuboid are congruent (congruent).

Formulas for the cuboid
Edge lengths
Surface area
Length of the room diagonals

Special cuboids

In the special case of equal edge lengths , in which all surfaces of the cuboid are squares , a cube results . In the event that exactly two edge lengths are the same, the result is a square straight prism ( ), one speaks occasionally of a square plate ( ) or a square column ( ).


Cuboids are point-symmetrical . The point of symmetry is the intersection of the space diagonals. In contrast to the cube , the room diagonals do not represent (three-fold) axes of rotation.


  • A three-dimensional body with six pairs of parallel faces is called a parallelepiped , regardless of its perpendicularity. So every cuboid is a right-angled parallelepiped.
  • Each cuboid is a prism with a rectangular base.
  • Occasionally the term cuboid is extended to -dimensional spaces, so that especially for a rectangle it can be described as a two-dimensional, an interval or a line as a one-dimensional and a point as a zero-dimensional cuboid. In higher-dimensional polytopes the terms Hyperboxes , Hyperrectangle, -dimensional cuboid or -dimensional interval in use.

Web links

Wiktionary: cuboid  - explanations of meanings, word origins, synonyms, translations
Commons : Cuboid  - collection of images, videos and audio files