Question

a cube has a volume of 216 cubic centimeters. what is the length of one side of the cube? explain how you know.
question 8
i can determine the two whole numbers that a cube root lies between.
i can solve equations in the form $x^{3}=a$.

Explanation:

Step1: Recall volume formula

The volume formula for a cube is $V = s^{3}$, where $s$ is the side - length of the cube. Given $V = 216$ cm³, we have the equation $s^{3}=216$.

Step2: Solve for side - length

To find $s$, we take the cube - root of both sides of the equation. So, $s=\sqrt[3]{216}$. Since $6\times6\times6 = 216$, $\sqrt[3]{216}=6$.

Answer:

6 centimeters