A polyhedron of which two faces are congruent polygons in parallel planes, and the other faces are parallelograms (see illustration). The bases B are the congruent polygons; the lateral faces are the parallelograms; the lateral edges are the edges not lying in the bases; and the perpendicular distance between the bases is the altitude l. Sections parallel to the bases are congruent to the bases. A prism is a right prism if its lateral edges are perpendicular to the bases; an oblique prism otherwise. A prism is called a triangular prism if its bases are triangles; a pentagonal prism if its bases are pentagons; and a parallelepiped if its bases are parallelograms. The volume of any prism is equal to the area of its base times its altitude (V = B h). See also: Polyhedron
Frame, J. Sutherland Formerly, Department of Mathematics, Michigan State University, East Lansing, Michigan.
Last reviewed:January 2020
Related Primary Literature
- A. Akbarzadeh, N. Chamanara, and C. Caloz, Inverse prism based on temporal discontinuity and spatial dispersion., Opt. Lett., 43(14):3297–3300, 2018 DOI: https://doi.org/10.1364/ol.43.003297
- L. Long, Painless Geometry, 3rd ed., Barron's Educational Series, 2018
- M. Ryan, Geometry Essentials for Dummies, For Dummies, 2018