Question

the volume of a cube is 216 cubic centimeters. how long is each side? each side of the cube is cm long.

Explanation:

Step1: Recall volume formula for cube

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

Step2: Solve for side - length

Given $V = 216$ cm³, 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:

6