Question

the volume of a cube is 27 in.³. how long is each side? each side of the cube is □ in. 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 $V = 27$ in³, we have $s^3=27$. Taking the cube - root of both sides, $s=\sqrt[3]{27}$.
Since $3\times3\times3 = 27$, $\sqrt[3]{27}=3$.

Answer:

3 in.