The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry.

Pyramidal Frustum

A pyramidal frustum (or truncated pyramid) is a solid which can be created by chopping off the top of a pyramid. The bottom face and the top face of the frustum are in parallel. The sides are trapezoids and meet at a common point.

The surface Ss of the sides of the truncated pyramid can be calculated as

Ss = 0.5(pb+pt)s,

with pb and pt as the perimeters of the bottom and the top face, and s as the slant height. The total surface S is given by

S = Ss + Ab + At

The volumn V of the pyramidal frustum is

Last Update: 2010-12-06