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.
Q1:
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.
Q2:
Which of the following is not a correct unit for density?
- Akg⋅m3
- Bkg/m3
- Cg/cm3
- Dg/m3
- Ekg/cm3
Q3:
The density of gold is 19,320 kg/m3. What is this value in grams per cubic centimeter?
Q4:
The density of aluminium is 8,000 kg/m3. Find the volume of a 100 kg block of aluminium.
- A m3
- B800 m3
- C8 m3
- D80 m3
- E800,000 m3
Q5:
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.
Q6:
True or False: The formula can be used to measure the density of any object.
- ATrue
- BFalse
Q7:
Which of the following is the correct formula to calculate density?
- A
- B
- C
- D
- E
Q8:
True or False: A cylinder with a volume of m3 and a mass of 150 kg has a density of 9,000 kg/m3.
- ATrue
- BFalse
Q9:
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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