# How do you calculate the density of a 6.75 g solid with a volume of 5.35 cm3?

##### 1 Answer

#### Explanation:

Your goal when trying to calculate the *density* of a substance when given its **mass** and the **volume** it occupies is to use the given info to find the mass of **one unit of volume** of that substance.

As you know, the **density** of a substance is defined as the mass of exactly *one unit of volume* of that substance. In your case, the volume of the sample is expressed in *cubic centimeters*,

So, you must find the mass of **uniformly distributed** in the volume it occupies.

This means that you will have

#1 color(red)(cancel(color(black)("cm"^3))) * "6.75 g"/(5.35color(red)(cancel(color(black)("cm"^3)))) = "1.26 g"#

You can now say that because **density** of the solid,

#color(green)(|bar(ul(color(white)(a/a)color(black)(rho_"solid" = "1.26 g cm"^(-3))color(white)(a/a)|)))#

The answer is rounded to three **sig figs**.