Question

find the dimensions of the cube. volume = 64 in.³

Explanation:

Step1: Recall volume formula

The volume formula for a cube is $V = s^{3}$, where $s$ is the side - length of the cube.

Step2: Solve for $s$

Given $V = 64$ in³, we have the equation $s^{3}=64$. Taking the cube - root of both sides, $s=\sqrt[3]{64}$.
Since $4\times4\times4 = 64$, $\sqrt[3]{64}=4$.

Answer:

$4$ in