# The mass of a diamond is 1.76 g. The volume is 0.5 cm^3. What is the density of the diamond?

Sep 21, 2016

$3.5 \frac{g}{c {m}^{3}}$

#### Explanation:

To calculate the density, we'll use the formula below:

• Usually, density will have units of $\frac{g}{m L}$ when dealing with a liquid or units of $\frac{g}{c {m}^{3}}$ when dealing with a solid.

• The mass has units of grams, $g$.

• The volume can have units of $m L$ or $c {m}^{3}$

We are given the mass and the volume, both of which have good units. All we have to do is plug the given values into the equation:

$D e n s i t y = \frac{1.76 g}{0.5 c {m}^{3}}$

Therefore the diamond has a density of $3.5 \frac{g}{c {m}^{3}}$.