Question

a cube has a volume of 216 cubic inches. what is the edge length of the cube? a 4 in. b 6 in. c 16 in. d 36 in.

Explanation:

Step1: Recall volume formula for cube

The volume formula for a cube is $V = s^{3}$, where $V$ is the volume and $s$ is the edge - length.

Step2: Solve for the edge - length

Given $V = 216$ cubic inches, we have the equation $s^{3}=216$. Taking the cube - root of both sides, $s=\sqrt[3]{216}$. Since $6\times6\times6 = 216$, $\sqrt[3]{216}=6$.

Answer:

B. 6 in