Question

1. the volume of a cube is $216\\ \mathrm{cm}^3$. what is the length of one side?\

$\boldsymbol{6\\ \mathrm{cm}^3}$\
$\boldsymbol{72\\ \mathrm{cm}}$\
$\boldsymbol{6\\ \mathrm{cm}}$\
$\boldsymbol{72\\ \mathrm{cm}^3}$

Explanation:

Step1: Recall cube volume formula

The volume $V$ of a cube with side length $s$ is $V = s^3$.

Step2: Solve for side length

Rearrange to find $s$: $s = \sqrt[3]{V}$
Substitute $V=216\ \text{cm}^3$: $s = \sqrt[3]{216}$
Calculate: $s = 6\ \text{cm}$ (note: side length uses linear units, not cubic)

Answer:

6 cm