Question

The volume of a rectangular prism is 655.2 ft^3. If the base of the prism is 9 feet by 5.2 feet, find the height of the prism. Show all work.

Answer 1

We can easily calculate for the height of the prism since all needed measurements are given. Volume of a rectangular prism is expressed by the equation:

V = lwh

where l is the length, w is the width and h is the height of the prism.

655 = 9 (5.2) h
h = 14 ft

Answer 2

Answer:

The height of the rectangular prism is 14 feet .

Step-by-step explanation:

Formula

Volume of a rectangular prism = Length × Breadth × Height

As given

The volume of a rectangular prism is 655.2 ft³.

If the base of the prism is 9 feet by 5.2 feet .

This means

Length = 9 feet

Breadth = 5.2 feet

Put all the values in the formula

655.2 = 9 × 5.2 × Height

655.2 = 46.8 × Height

$Height = \frac{655.2}{46.8}$

Height = 14 feet

Therefore the height of the rectangular prism is 14 feet .