parallelepiped

parallelepiped

, parallelopiped, parallelepipedon

a geometric solid whose six faces are parallelograms

Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

parallelepiped

[‚par·ə‚lel·ə′pī·pəd]

(mathematics)

A polyhedron all of whose faces are parallelograms.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Parallelepiped

 

a hexahedron whose opposite faces are parallel. A parallelepiped has eight vertices and 12 edges; its opposite faces are congruent parallelograms. A parallelepiped whose lateral edges are perpendicular to a base is called a right parallelepiped; its four lateral faces are rectangles. A rectangular parallelepiped is a right parallelepiped with a rectangular base; consequently, all six faces are rectangles. A parallelepiped whose faces are squares is called a cube. The volume of a parallelepiped is equal to the product of an altitude and the area of a base.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.