Question

1. a gift box is cube - shaped and has a volume of 216 cubic inches. solve s^3 = 216 to find the length s of one side of the gift box. (example 8)

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.

Step2: Solve for $s$

Given $V = 216$, we have the equation $s^{3}=216$. Taking the cube - root of both sides, $s=\sqrt[3]{216}$. Since $6\times6\times6 = 216$, $\sqrt[3]{216}=6$.

Answer:

6 inches