Any of the three pairs of parallel faces can be viewed as the base planes of the prism. A parallelepiped has three … See more

A parallelepiped is a prism with a parallelogram as base. Hence the volume of a parallelepiped is the product of the base area and the height (see diagram). With
• (where is the angle between vectors and ), and… See more

The surface area of a parallelepiped is the sum of the areas of the bounding parallelograms: (For labeling: see previous section.) See more

• The parallelepiped with Oh symmetry is known as a cube, which has six congruent square faces.
• The parallelepiped with D4h symmetry is known as a square cuboid, which has two square faces and four congruent r… See more

A perfect parallelepiped is a parallelepiped with integer-length edges, face diagonals, and space diagonals. In 2009, dozens of perfect parallelepipeds were shown to exist, answering an open question of Richard Guy. One exam… See more

Coxeter called the generalization of a parallelepiped in higher dimensions a parallelotope. In modern literature, the term parallelepiped is often used in higher (or arbitrary finite) dimensions as well.
Specificall… See more