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 cube - volume formula

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 the equation $s^{3}=27$. Taking the cube - root of both sides, $\sqrt[3]{s^{3}}=\sqrt[3]{27}$. Since $\sqrt[3]{s^{3}} = s$ and $\sqrt[3]{27}=3$ (because $3\times3\times3 = 27$), then $s = 3$ in.

Answer:

3