Question

if the volume of a cube - shaped box is 729 cubic inches, which equation would you use to determine how many 1 - inch cubes could fit along one side? s = 729^3 s = 729^2 s = \sqrt{729} s = \sqrt3{729}

Explanation:

Step1: Recall volume formula for cube

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

Step2: Rearrange formula to solve for side - length

Given $V = 729$ cubic inches, we need to solve $V=s^{3}$ for $s$. Rearranging gives $s=\sqrt[3]{V}$. Substituting $V = 729$ into the formula, we get $s=\sqrt[3]{729}$.

Answer:

$s=\sqrt[3]{729}$