Lesson Worksheet: Density Mathematics

In this worksheet, we will practice calculating the density of an object given its mass and volume and converting between different density units.


A cube has a side length of 0.15 m. If the mass of the cube is 3 kg, what is its density? Give your answer approximated to one decimal place if required.


Which of the following is not a correct unit for density?

  • Akg⋅m3
  • Bkg/m3
  • Cg/cm3
  • Dg/m3
  • Ekg/cm3


The density of gold is 19,320 kg/m3. What is this value in grams per cubic centimeter?


The density of aluminium is 8,000 kg/m3. Find the volume of a 100 kg block of aluminium.

  • A180 m3
  • B800 m3
  • C8 m3
  • D80 m3
  • E800,000 m3


A steel ball has a radius of 10 cm. If the density of the ball is 8,000 kg/m3, find the mass of the ball in kilograms. Give your answer to one decimal place.


True or False: The formula densitymassvolume=× can be used to measure the density of any object.

  • ATrue
  • BFalse


Which of the following is the correct formula to calculate density?

  • ADensitymassvolume=×
  • BDensitymassvolume=×
  • CDensityvolumemass=
  • DDensitymassvolume=
  • EDensityvolumemass=


True or False: A cylinder with a volume of 160 m3 and a mass of 150 kg has a density of 9,000 kg/m3.

  • ATrue
  • BFalse


If we have pure iron with a density of 7,874 kg/m3, find the volume, in cubic centimeters, of a 150 kg block of pure iron to the nearest hundredth.

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