Question

the base of a right prism has an area of 32.5 ft². if the prism has a volume of 572 ft³, what is its height? a) 5.9 ft b) 52.8 ft c) 35.2 ft d) 17.6 ft

Explanation:

Step1: Recall volume formula

The volume formula for a prism is $V = Bh$, where $V$ is volume, $B$ is base - area and $h$ is height.

Step2: Rearrange formula for height

We can rewrite the formula to solve for height $h=\frac{V}{B}$.

Step3: Substitute given values

Given $V = 572$ ft³ and $B = 32.5$ ft², then $h=\frac{572}{32.5}$.

Step4: Calculate the height

$h = 17.6$ ft.

Answer:

d) 17.6 ft