# What is the volume of an object that has a mass of 24 grams and a density of 6.6 g/mL?

Sep 20, 2016

$\text{3.6 mL}$

#### Explanation:

The density of a substance is a useful property because it tells us the mass of exactly one unit of volume of that substance.

In this case, the unknown object has a density of $\text{6.6 g/mL}$, which means that every milliliter occupied by this object will have a mass of $\text{6.6 g}$.

You are told that this unknown object has a mass of $\text{24 g}$. Since you already know that you get $\text{6.6 g}$ for every $\text{1 mL}$ of this object, which means that you can use the density as a conversion factor to help you find the volume that would have a mass if $\text{24 g}$

24 color(red)(cancel(color(black)("g"))) * overbrace("1 mL"/(6.6color(red)(cancel(color(black)("g")))))^(color(blue)("the given density")) = color(green)(bar(ul(|color(white)(a/a)color(black)("3.6 mL")color(white)(a/a)|)))

The answer is rounded to two sig figs.