Question

22. A storage container is shaped like a rectangular prism. The volume of the container is1,360 cubic feet. The area of the base of the container is 160 square feet. What is theheight of the container in feet?The height of the container isfeet. (Use a decimal instead of a fraction)

Answer 1

The volume of the rectangular prism is

$V=B\times H$

Where:

B is the base area

H is the height

Since the base area is 160 feet^2

Since the volume is 1360 feet^3

Substitute them in the rule above

$\begin{gathered} 1360=160\times H \\ 1360=160H \end{gathered}$

Divide both sides by 160 to find H

$\begin{gathered} \frac{1360}{160}=\frac{160H}{160} \\ 8.5=H \end{gathered}$

The height of the container is 8.5 feet