# How do you calculate mass using density and volume?

In order to find mass when you have and volume, you use the relationship

You multiply both sides of the equation by the volume and get:

##”Mass ” = ” Volume × Density”##

Here are two example calculations:

Example 1

A piece of aluminum has a volume of ##”6.0 cm”^3## and a density of ##”2.70 g/cm”^3##. What is its mass?

Solution

##”Mass” = 6.0 cancel(“cm”^3) × “2.70 g”/(1 cancel(“cm”^3)) = “16.2 g”##

##” “##

Example 2

Calculate the mass of ##”30.0 mL”## of methanol, if the density of methanol is ##”0.790 g/mL”##.

Solution

##”Mass” = 30.0 cancel(“mL”) × “0.790 g”/(1 cancel(“mL”)) = “23.7 g”##

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