# You are given a cube with a length of 2.5 cm, a width of 2.5 cm, and a height of 2.5 cm. You place it on a scale, and its mass is 295 g. What is its density?

Jun 26, 2018

The density of the cube is $\text{18.9 g/cm"^3}$.

#### Explanation:

Density is mass per unit of volume. The density formula is:

$D = \frac{M}{V}$,

where:

$D$ is density, $M$ is mass, and $V$ is volume.

You have been given the mass as $\text{295 g}$, and you have been given the dimensions of the cube so you can calculate its volume.

For a cube, $V = {\text{s}}^{3}$. For the cube in the question:

V=("2.5 cm")^3="15.625 cm"^3"

Now plug in the mass and volume and solve for density.

D=("295 g")/("15.625 cm"^3)="18.9 g/cm"^3" (rounded to three significant figures)