Question

1. the volume of a box for earrings is 216 cubic centimeters. what is the length of one edge of the box?

Explanation:

Step1: Recall volume formula for cube

The volume $V$ of a cube is $V = s^3$, where $s$ is the length of an edge.

Step2: Solve for the edge - length

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 centimeters