Density

The Maths Habit

Cube A and cube B are the same size. Which cube is made of heavier stuff?

AB

B. It is the same size, but it has more mass.

Share equally. How much is in each cube?

6 g shared
by 2 cubes
333 g in each cube
20 g shared
by 4 cubes
55555 g in each cube
30 g shared
by 3 cubes
10101010 g in each cube

Mass
How heavy something is. We measure it in grams (g).
mass
Volume
How much space something takes up. We measure it in cubic centimetres (cm³).
volume
Density
The mass of 1 cm³.
1 cm³
g/cm³
Grams in each cm³. The unit of density.
1 cm³g

A metal block has a mass of 24 g. Its volume is 3 cm³. Find its density.

1Cut the block.
888volume 3 cm³mass24 g
2Find 1 cm³.
24÷3=8g/cm³

A stone has a mass of 12 g. Its volume is 4 cm³. Find its density.

1Cut the block.
3333volume 4 cm³mass12 g
2Find 1 cm³.
12÷4=3g/cm³

A metal block has a mass of 24 g. Its volume is 3 cm³. Find its density.

1Cut the block.
888volume 3 cm³mass24 g
2Find 1 cm³.
24÷3=8g/cm³
1volumemass2mass÷volume=density

A small metal block has a mass of 18 g. Its volume is 2 cm³. Find its density.

1Cut the block.
99volume 2 cm³mass18 g
2Find 1 cm³.
18÷2=9g/cm³

A metal block has a mass of 24 g. Its volume is 3 cm³. Find its density.

1Cut the block.
888volume 3 cm³mass24 g
2Find 1 cm³.
24÷3=8g/cm³
1volumemass2mass÷volume=density

A piece of rock has a mass of 20 g. Its volume is 5 cm³. Find its density.

1Cut the block.
44444volume 5 cm³mass20 g
2Find 1 cm³.
20÷5=4g/cm³

A metal block has a mass of 24 g. Its volume is 3 cm³. Find its density.

1Cut the block.
888volume 3 cm³mass24 g
2Find 1 cm³.
24÷3=8g/cm³
1volumemass2mass÷volume=density

A metal bar has a mass of 30 g. Its volume is 6 cm³. Find its density.

1Cut the block.
555555volume 6 cm³mass30 g
2Find 1 cm³.
30÷6=5g/cm³

Density worksheet, page 1

Density worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 14 g and 2 cm³, so the density is 7 g/cm³

    Right
  2. 15 g and 3 cm³, so the density is 45 g/cm³

    Wrong: divide, do not multiply
  3. 36 g and 4 cm³, so the density is 9 g/cm³

    Right
  4. 20 g and 2 cm³, so the density is 40 g/cm³

    Wrong: divide, do not multiply
  5. 25 g and 5 cm³, so the density is 5 g/cm³

    Right

  1. A block has a mass of 15 g. Its volume is 6 cm³. Find its density.

    2.5 g/cm³
  2. A metal block has a density of 8 g/cm³. Its mass is 56 g. Find its volume.

    7 cm³
  3. A cuboid is 5 cm long, 2 cm wide and 3 cm tall. Its mass is 90 g. Find its density.

    30 cm³, so 3 g/cm³

  1. A block has a mass of 20 g. Its volume is 4 cm³. Find its density.

    5 g/cm3
    volume 4 cm³mass20 g1Cut the block.2Find 1 cm³.÷=g/cm³
  2. A stone has a mass of 21 g. Its volume is 3 cm³. Find its density.

    7 g/cm3
    volume 3 cm³mass21 g1Cut the block.2Find 1 cm³.÷=g/cm³
  3. A metal block has a mass of 40 g. Its volume is 5 cm³. Find its density.

    8 g/cm3
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