Question

Mr. Jones is building the garage shown below. What is the volume of the garage?

Answer 1

Answer: 891 ft³

Explanation:

We can break the garage into two different parts. The roof, triangular, and the rest, rectangular. I will start by solving for the rectangular part.

V = L * W * H

V = 12 ft * 9 ft * 7.5 ft

V = 810 ft³

Now, I will solve for the triangular part, the roof. First, 9 ft - 7.5 ft = 1.5 ft, so the height of just the roof is 1.5 ft.

V =
`(L * W * H)/(2)`

V =
`(12 * 9* 1.5)/(2)`

V =
`(162)/(2)`

V = 81 ft³

Lastly, I will add the two different parts together.

810 ft³ + 81 ft³ = 891 ft³