Question

Megan has a case shaped like a right prism. She knows that the area of the base of the case is 16 in and the volume of the case is

352 in
What is the height of Megan's case?
O 17 in
22 in
27 in
32 in

Answer 1

Height be x

• Volume=Area of base×height

`\\ \rm\rightarrowtail 16x=352`

`\\ \rm\rightarrowtail x=352/16`

`\\ \rm\rightarrowtail x=22`

Answer 2

22 in

Explanation:

volume of a right prism = area of base x height

Given:

• volume = 352 in³
• area of base = 16 in²

⇒ 352 = 16 × height

⇒ height = 352 ÷ 16

⇒ height = 22 in