Question #N941
A rectangular prism has a volume of 72 cubic centimeters. If the length of the prism is 6 centimeters and the width is 4 centimeters, what is the height of the prism, in centimeters?
A. 3
B. 4
C. 6
D. 12
Correct Answer is: A
The volume of a rectangular prism is given by the formula $V = lwh$, where $l$ is the length, $w$ is the width, and $h$ is the height. We are given that the volume $V = 72$, the length $l = 6$, and the width $w = 4$. Substituting these values into the formula, we get $72 = 6 \cdot 4 \cdot h$. Simplifying the equation, we get $72 = 24h$. Dividing both sides by 24, we get $h = 3$.