# 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⋅m
^{3} - Bkg/m
^{3} - Cg/cm
^{3} - Dg/m
^{3} - Ekg/cm
^{3}

**Q3: **

The density of gold is 19,320 kg/m^{3}.
What is this value in grams per cubic centimeter?

**Q4: **

The density of aluminium is 8,000 kg/m^{3}.
Find the volume of a 100 kg block of aluminium.

- A m
^{3} - B800 m
^{3} - C8 m
^{3} - D80 m
^{3} - E800,000 m
^{3}

**Q5: **

A steel ball has a radius of 10 cm.
If the density of the ball is 8,000 kg/m^{3}, 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 m^{3} and a mass of 150 kg has a density of 9,000 kg/m^{3}.

- ATrue
- BFalse

**Q9: **

If we have pure iron with a density of 7,874 kg/m^{3},
find the volume, in cubic centimeters, of a
150 kg block of
pure iron to the nearest hundredth.