# The density of sulfur is 2.0 g/cm^3. What is the mass of a sample of sulfur that has a volume of 6.0 cm^3?

Jan 4, 2016

$\text{12 g}$

#### Explanation:

As you know, a substance's density tells you the mass per unit of volume for that given substance.

In your case, the density of sulfur is said to be ${\text{2.0 g/cm}}^{3}$. Notice that the volume is given in cubic centimeters, ${\text{cm}}^{3}$. So, what would unit of volume be here?

Well, one unit of volume would be ${\text{1 cm}}^{3}$.

That means that every ${\text{1.0 cm}}^{3}$ of sulfur will have a mass of $\text{2.0 g}$.

In other fords, for every ${\text{1 cm}}^{3}$ of sulfur, you can expect a mass of $\text{2.0 g}$.

Since you have ${\text{6 cm}}^{3}$ of sulfur, it follows that its mass will be equal to

6.0 color(red)(cancel(color(black)("cm"^3))) * "2.0 g"/(1color(red)(cancel(color(black)("cm"^3)))) = color(green)("12 g")