# The volume of the truncated pyramid

To find the volume of a truncated pyramid, it is enough to remember one simple formula that includes three unknown parameters. But first, let’s remember what each word of the designated concept describes.

**Calculate the volume of a truncated pyramid**

**The area of the upper base S1**

**The area of the upper base S2**

**Height h**

## Definitions and formulas

Volume (from lat. volume–”filling”) is a quantitative characteristic of the space occupied by a body or substance.

Pyramid (Ancient Greek. the word meaning “memorial cake of a conical shape”) is a polyhedron (polyhedron), in which one face is an [arbitrary] polygon (it is also its base), and all the others (they are considered lateral) are triangles with a common vertex.

Truncation also means a certain “cut-off”.

In other words, it is a part of the pyramid that is enclosed between the base and the plane parallel to it.

.

The formula for calculating the volume of a truncated pyramid is as follows:

where h is the height of the “cut” pyramid,

*S _{1}* and

*S*– the areas of its upper and lower bases, respectively.

_{2}