Question

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

Answer 1

Answer: 9 inches (choice D)

Work Shown:

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(12*10)*h

V = (1/3)*120h

V = 40h

Set this equal to the given pyramid volume 360 cubic inches and solve for h

40h = 360

h = 360/40

h = 9

Answer 2

Answer:

9 inches

Step-by-step 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