Converting units of area and volume

The Maths Habit

  1. Convert 2.6 km to metres.

    2600 m

  2. Convert 45 mm to centimetres.

    4.5 cm

  3. Convert 750 ml to litres.

    0.75 litres

How many square centimetres fit inside one square metre?

10 000

How many centimetres?

1 m 100

Convert 4 m² to cm².

100 in every direction
1 m2 =100×100
=10 000cm2
multiply to go to the smaller unit
4 ×10 000=40 000
Answer40 000 cm2

Convert 9 cm² to mm².

10 in every direction
1 cm2 =10×10
=100mm2
multiply to go to the smaller unit
9 ×100=900
Answer900 mm2

Convert 4 m² to cm².

100 in every direction
1 m2 =100×100
=10 000cm2
multiply to go to the smaller unit
4 ×10 000=40 000
Answer40 000 cm2

Convert 7 cm³ to mm³.

10 in every direction
1 cm3 =10×10×10
=1000mm3
multiply to go to the smaller unit
7 ×1000=7000
Answer7000 mm3

Convert 4 m² to cm².

100 in every direction
1 m2 =100×100
=10 000cm2
multiply to go to the smaller unit
4 ×10 000=40 000
Answer40 000 cm2

Convert 3 m³ to cm³.

100 in every direction
1 m3 =100×100×100
=1 000 000cm3
multiply to go to the smaller unit
3 ×1 000 000=3 000 000
Answer3 000 000 cm3

Convert 4 m² to cm².

100 in every direction
1 m2 =100×100
=10 000cm2
multiply to go to the smaller unit
4 ×10 000=40 000
Answer40 000 cm2

Convert 2.5 cm² to mm².

10 in every direction
1 cm2 =10×10
=100mm2
multiply to go to the smaller unit
2.5 ×100=250
Answer250 mm2

Convert 4 m² to cm².

100 in every direction
1 m2 =100×100
=10 000cm2
multiply to go to the smaller unit
4 ×10 000=40 000
Answer40 000 cm2

Convert 38 000 cm² to m².

100 in every direction
1 m2 =100×100
=10 000cm2
divide to go to the larger unit
38 000 ÷10 000=3.8
Answer3.8 m2

Converting units of area and volume worksheet, page 1

Answer sheet

  1. A rug is 2 m by 1.5 m. Find its area in cm².

    30 000 cm²

  2. Tom says 3 m³ = 300 cm³. Is he right?

    No: 3 000 000 cm³

  3. A sugar cube has a volume of 2700 mm³. Write its volume in cm³.

    ÷ 1000: 2.7 cm³

  1. Convert 7 m² to cm².

    70 000 cm2

  2. Convert 4500 mm³ to cm³.

    4.5 cm3

  3. Which is bigger, 0.3 m² or 2500 cm²? Show how you know.

    0.3 m2 (3000 cm2)
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