A cuboid possesses
- six side faces that are at right angles to each other,
- eight right angled corners and
- twelve edges , four of which each have the same length and are parallel to one another .
Opposite surfaces of a cuboid are congruent (congruent).
|Formulas for the cuboid|
|Length of the room diagonals|
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 ( ).
- 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.