# Aluminum has a density of 2.70 g/cm^3. What would be the mass of a sample whose volume is 10.0 cm^3?

Apr 26, 2017

$\text{27.0 g}$

#### Explanation:

The density of a substance tells you the mass of exactly one unit of volume of said substance.

In your case, aluminium is said to have a density of

"density Al" = color(blue)("2.70 g") color(white)(.)color(darkorange)("cm"^(-3))

This tells you that every $\textcolor{\mathrm{da} r k \mathmr{and} a n \ge}{\text{1 mL}}$ of aluminium has a mass of $\textcolor{b l u e}{\text{2.70 g}}$.

All you have to do now is use the density of aluminium as a conversion factor to go from cubic centimenters of aluminium to grams

$10.0 \textcolor{red}{\cancel{\textcolor{b l a c k}{\text{cm"^3))) * color(blue)("2.70 g")/(color(darkorange)(1)color(red)(cancel(color(darkorange)("cm"^3)))) = color(darkgreen)(ul(color(black)("27.0 g}}}}$

The answer is rounded to three sig figs.