### Home > GC > Chapter 11 > Lesson 11.2.1 > Problem 11-76

11-76.

On your paper, draw a diagram of a square-based pyramid if the side length of the base is

Find the volume of the pyramid.

The formula to find the volume of a pyramid is

Calculate area of base:

Use formula to calculate volume (a):

If a smaller pyramid is similar to the pyramid in part (a), but has a linear scale factor of

, find its volume. Find the volume of the smaller pyramid in one of two ways:

Calculating from the dimensions or

Using the ratio of volumes.Since the linear scale factor is

,the ratio of the volume is , .