Question

If the volume of the pyramid shown is 360 inches cubed, what is its height?

A rectangular pyramid with base of 12 inches by 10 inches and a height of h.

1 in.
3 in.
6 in.
9 in.

Answer 1

9 inches

Explanation:

The formula for the volume of a rectangular pyramid is

Here we have volume (V), base (L), and width (W)

V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H

Then we need to divide both sides by (L×W) to get:

Now we can plug in the given values:

The height is 9 inches