Question

a cube has a volume of 216 cubic centimeters. what is the length of one side of the cube? explain how you know.

Explanation:

Step1: Recall volume formula

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

Step2: Solve for side - length

Given $V = 216$, 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 centimeters