Question

the volume of a cube is 1331 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 $V = 1331$ in³, we need to find $s$ such that $s^{3}=1331$. Taking the cube - root of both sides, $s=\sqrt[3]{1331}$. Since $11\times11\times11 = 1331$, $\sqrt[3]{1331}=11$.

Answer:

11