# The density of mercury metal is 13.6 g/mL. What is the mass of 3.55 mL of the metal?

Aug 12, 2016

color(purple)("The mercury metal has a mass of 48.3g."

#### Explanation:

To calculate the mass of the object, we have to use the following formula:

- 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 will have units of $m L$ or $c {m}^{3}$

We are given the density and volume, both of which have good units so all we have to do is rearrange the equation to solve for the mass:

densityxxvolume=(mass)/(cancel"volume")xxcancel"volume"

$\textcolor{c \mathmr{and} a l}{\text{Density}}$$\times$$\textcolor{c \mathmr{and} a l}{\text{Volume = Mass}}$

$\frac{13.6 g}{\cancel{\text{mL"xx3.55cancel"mL}}}$

Thus, the object has a mass of 48.3g.