# A piece of tin has a mass of #"16.52 g"# and a volume of #"2.26 cm"^3#. What is the density of tin?

##### 1 Answer

#### Explanation:

Your goal when trying to find the **density** of a given substance is to determine the mass of **one unit of volume** of that substance.

In this case, the volume of a piece of tin is given in *cubic centimeters*, which means that one unit of volume will be

To find the mass of **uniformly** in the given volume of tin. In other words, you can use the known composition to find

#1 color(red)(cancel(color(black)("cm"^3))) * "16.52 g"/(2.26color(red)(cancel(color(black)("cm"^3))) ) = "7.31 g"#

Now, the **density** of a given substance is defined as the mass that corresponds to *one unit of volume* of that substance. In this case, **every**

#color(green)(bar(ul(|color(white)(a/a)color(black)("7.31 g cm"^(-3))color(white)(a/a)|))) -> 7.31# grams per cubic centimer

The answer is rounded to three **sig figs**, the number of sig figs you have for the volume of the piece of tin.