Question

the volume of a cube is 729 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 $V = 729$ in³, we need to find $s$ from the equation $s^{3}=729$. Taking the cube - root of both sides, $s=\sqrt[3]{729}$. Since $9\times9\times9 = 729$, $\sqrt[3]{729}=9$.

Answer:

9