# The density of a cube is 3 g/(cm^3). If its mass is 24 g, what is the length of each side of the cube?

May 30, 2017

I got $2 c m$

#### Explanation:

Density is $\text{mass"/"volume}$ so we get:
$3 = \frac{24}{V}$
so:
$V = \frac{24}{3} = 8 c {m}^{3}$
but the volume of a cube is give as:
$V = {l}^{3}$
where $l$ is the length of the side. We get:
${l}^{3} = 8$
$l = \sqrt[3]{8} = 2 c m$