# Category:Parallelepipeds

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This category contains results about **Parallelepipeds**.

Definitions specific to this category can be found in Definitions/Parallelepipeds.

A **parallelepiped** is a polyhedron formed by three pairs of parallel planes:

In the above example, the pairs of parallel planes are:

- $ABCD$ and $HGFE$
- $ADEH$ and $BCFG$
- $ABGH$ and $DCFE$

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Parallelepipeds"

The following 12 pages are in this category, out of 12 total.

### P

- Parallelepiped cut by Plane Parallel to Opposite Planes
- Parallelepiped cut by Plane through Diagonals of Opposite Planes is Bisected
- Parallelepiped formed from Three Proportional Lines equal to Equilateral Parallelepiped with Equal Angles to it formed on Mean
- Parallelepipeds are of Equal Volume iff Bases are in Reciprocal Proportion to Heights
- Parallelepipeds of Same Height have Volume Proportional to Bases
- Parallelepipeds on Equal Bases and Same Height are Equal in Volume
- Parallelepipeds on Same Base and Same Height whose Extremities are not on Same Lines are Equal in Volume
- Parallelepipeds on Same Base and Same Height whose Extremities are on Same Lines are Equal in Volume