Ask Dr. Math: FAQ
Geometric Formulas: Contents ||
Ask Dr. Math ||
Dr. Math FAQ ||
Search Dr. Math
also see Defining Geometric Figures
A parallelepiped (alternate spelling parallelopiped) is a polyhedron
with six faces bounded by three pairs of parallel planes, so all its faces
are parallelograms. It is also a prism the base of which is a parallelogram.
| Rectangular Parallelepiped
A three-dimensional figure all of whose face angles are right angles,
so all its faces are rectangles and all its dihedral angles are right angles.
(A dihedral angle is an angle created by two intersecting planes.)
Edges: a, b, c
Total surface area (total area of all
the faces of the figure): T
||d = sqrt(a2+b2+c2)
T = 2(ab+ac+bc)
V = abc
Face diagonals sqrt(a2+b2),
A three-dimensional figure with
six congruent square sides.
a = b = c
d = a sqrt(3)
T = 6a2
V = a3
Face diagonal a sqrt(2)
To read about parallelepipeds and cubes, visit:
Ask Dr. Math:
What is a parallelepiped?
Eric Weisstein's World of Mathematics:
And see: Regular Polyhedra
Back to Contents
Ask Dr. Math ®
Math Forum Home ||
Math Library ||
Quick Reference ||
Math Forum Search
© 1994-2017 The Math Forum at NCTM. All rights reserved.