AlgebraLab

Science: Practice Using the Formula for Density

By E Saylor

Density is a ratio. Density indicates how much matter is packed into a given amount of space. For example, in a gold object, a whopping 19.3 grams of gold is packed into every cm3; that is, gold has a density of 19.3 g/cm3. Compare gold, which is very dense, to a lightweight metal like aluminum. The density of aluminum is just 2.7 g/cm3, meaning that each cm3 of aluminum has a mass of just 2.7 grams. Champion cyclist Lance Armstrong could probably afford it, but he wouldn't want to ride a bicycle with a gold frame. The mass of the bike would slow him down considerably!
 
In solving these practice problems, remember that one mL is equivalent to one cm3 of volume.
 
1 mL = 1 cm3
 
density = 13.5 g/mL
mass = 151 grams
volume = ____
density = ____
mass = 325 grams
volume = 375 mL
density = 1.25 g/mL
mass = ____
volume = 45.0 mL
density = 0.775 g/mL
mass = 62.0 g
volume = ____
density = 7.87 g/cm3
mass = 1530 g
volume = ____
density = ____
mass = 233 g
volume = 10.0 mL
density = 2.70 g/cm3
mass = ____
volume = 638 cm3
density = 3.75 g/mL
mass = ____
volume = 4.03 mL
density = ____
mass = 28.0 g
volume = 35.0 mL
density = 1.28 g/mL
mass = ____
volume = 325 mL