Question

A rectangular prism has a volume of 300 ft. If the base measures 5 ft by 8 ft, what is the height of the prism?

40 ft
13 ft
23.1 ft
7.5 ft

Answer 1

7.5 ft

Explanation:

Volume of a prism is V = L*W*H.

In this case, the volume is V = 300 ft^3 (not 300 ft). Therefore,

300 ft^3 = L*W*H = (8 ft)(5 ft)(height)

Solving for the height, H, we get:

300 ft^3

H = --------------- = 7.5 ft

40 ft^2

Answer 2

7.5 ft

Explanation:

Vole is the length time the width times the height

V = l*w*h

Substituting what we know

300 = 5*8*h

300 = 40h

Divide each side by 40

300/40 =40h/40

7.5 =h