Density

The Maths Habit

Why does a huge steel ship
float, but a small steel
coin sinks?

The ship is mostly air inside

It is not only how heavy it is, but how much space it takes up

Density
The mass of each cubic centimetre of a material.

density = massvolume

What are the units of density?

Mass in g, volume in cm³ g/cm³

Which is more dense?

8 g/cm³ or 2.7 g/cm³ 8 g/cm³

Mass 280 g, volume 40 cm³. Find the density.

density =massvolume=28040
Answer7 g/cm³

Mass 330 g, volume 30 cm³. Find the density.

density =massvolume=33030
Answer11 g/cm³

Mass 280 g, volume 40 cm³. Find the density.

density =massvolume=28040
Answer7 g/cm³

Density 6 g/cm³, volume 15 cm³. Find the mass.

6=mass15
multiply both sides by the volume
mass =6×15
Answer90 g

Mass 280 g, volume 40 cm³. Find the density.

density =massvolume=28040
Answer7 g/cm³

Density 8 g/cm³, volume 25 cm³. Find the mass.

8=mass25
multiply both sides by the volume
mass =8×25
Answer200 g

Mass 280 g, volume 40 cm³. Find the density.

density =massvolume=28040
Answer7 g/cm³

Mass 156 g, volume 12 cm³. Find the density.

density =massvolume=15612
Answer13 g/cm³

Mass 280 g, volume 40 cm³. Find the density.

density =massvolume=28040
Answer7 g/cm³

Density 2.5 g/cm³, volume 14 cm³. Find the mass.

2.5=mass14
multiply both sides by the volume
mass =2.5×14
Answer35 g

Density worksheet, page 1

Answer sheet

  1. A cuboid measures 5 cm by 4 cm by 3 cm
    and has a mass of 162 g. Find its density.

    2.7 g/cm³

  2. Water has a density of 1 g/cm³. A 90 g block has a volume of 120 cm³. Will it float?

    Yes: 0.75 g/cm³

  3. A brass weight has a mass of 340 g and a density of 8.5 g/cm³. Find its volume.

    340 ÷ 8.5: 40 cm³

  1. A block has a mass of 360 g and a volume of 40 cm³. Find its density.

    9 g/cm3

  2. A stone has a density of 2.5 g/cm³ and a volume of 30 cm³. Find its mass.

    75 g

  3. A metal bar has a mass of 420 g and a density of 7 g/cm³. Find its volume.

    60 cm3
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