# 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.