# PSAT Math : Pyramids

## Example Questions

### Example Question #51 : Solid Geometry

The volume of a 6-foot-tall square pyramid is 8 cubic feet. How long are the sides of the base?

Explanation:

Volume of a pyramid is

Thus:

Area of the base is .

Therefore, each side is .

### Example Question #51 : Solid Geometry

A right pyramid with a square base has a height that is twice the length of one edge of the base.  If the height of the pyramid is 6 meters, find the volume of the pyramid.

6

30

24

18

12

18

Explanation:

If the height, which is twice the length of the base edges, measures 6 meters, then each base edge must measure 3 meters.

Since the base is a square, the area of the base is 3 x 3 = 9.

Therefore the volume of the right pyramid is V = (1/3) x area of the base x height = 1/3(9)(6) = 18.

### Example Question #1 : How To Find The Volume Of A Pyramid

What is the approximate volume of a square pyramid with one edge of the base measuring  and a height equal to the diagonal of its base?