# One unit of density is #"g"/"cm"^3#. How do you say that unit in words?

##### 1 Answer

Grams per cubic centimeter.

#### Explanation:

One important thing to remember about units that use **fractions** is that the fraction itself is pronounced as * per*.

In this case, you are given a unit of density,

This tells you that the unit that goes **on top** of the fraction, i.e. in the *numerator*, will be a **unit of mass** and the unit that goes **on the bottom** of the fraction, i.e. in the *denominator*, will be a **unit of volume**.

Here you have *grams*, *cubic centimeters*,

#"g"/"cm"^3 = "grams"/"cubic centimer"#

Now all you have to do is use the fact that the fraction is pronounced * per* to get

#"g"/"cm"^3 = "grams"/"cubic centimer" = color(darkgreen)("grams per cubic centimer")#

You'll sometimes see density given as

#"cm"^(-3) = 1/"cm"^3#

This is once again read as

#"g cm"^(-3) = "g"/"cm"^3 = "grams"/"cubic centimeter" = color(darkgreen)("grams per cubic centimer")#