Converting units of area and volume

The Maths Habit

Mia covers a floor with 4 big tiles. Raj covers the same floor with small tiles. 2 small tiles fit along 1 big tile. Raj says he needs 8 small tiles. Is he right?

MiaRajNo. 4 along and 4 down. 4 × 4 = 16 small tiles.

Work these out.

1 cm = ? mm10 mm
How many squares?3 × 4 = 12
6 × 100600

Area
How much flat space a shape covers.
Square centimetre
The area of a square with 1 cm sides. We write cm².
1 cm1 cmcm²
Square millimetre
The area of a square with 1 mm sides. We write mm².
1 mm1 mmmm²

Convert 3 cm² to mm².

11 cm = 10 mm
1 cm =10 mm
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
21 cm²=10×10=100mm²33 cm²=3×100=300mm²

Convert 5 cm² to mm².

11 cm = 10 mm
1 cm =10 mm
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
21 cm²=10×10=100mm²35 cm²=5×100=500mm²

Convert 3 cm² to mm².

11 cm = 10 mm
1 cm =10 mm
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
21 cm²=10×10=100mm²33 cm²=3×100=300mm²
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
1 cm
1 cm

Convert 2 cm² to mm².

11 cm = 10 mm
1 cm =10 mm
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
21 cm²=10×10=100mm²32 cm²=2×100=200mm²

Convert 3 cm² to mm².

11 cm = 10 mm
1 cm =10 mm
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
21 cm²=10×10=100mm²33 cm²=3×100=300mm²
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
1 cm
1 cm

Convert 8 cm² to mm².

11 cm = 10 mm
1 cm =10 mm
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
21 cm²=10×10=100mm²38 cm²=8×100=800mm²

Convert 3 cm² to mm².

11 cm = 10 mm
1 cm =10 mm
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
21 cm²=10×10=100mm²33 cm²=3×100=300mm²
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
1 cm
1 cm

A label has an area of 7 cm². What is its area in mm²?

11 cm = 10 mm
1 cm =10 mm
1Count along each side.
2Multiply the two sides.
3Multiply by the cm².
21 cm²=10×10=100mm²37 cm²=7×100=700mm²

Converting units of area and volume worksheet, page 1

Converting units of area and volume worksheet, page 2

Answer sheet

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

  1. 2 cm² = 200 mm²

    Right

  2. 4 cm² = 40 mm²

    Wrong: 400 mm²

  3. 1 cm² = 100 mm²

    Right

  4. 6 cm² = 6000 mm²

    Wrong: 600 mm²

  5. 10 cm² = 1000 mm²

    Right

  1. Convert 700 mm² to cm².

    7 cm²

  2. 1 m = 100 cm. How many cm² are in 1 m²?

    10 000 cm²

  3. A 1 cm cube is 10 mm long, 10 mm wide and 10 mm tall. How many mm³ is 1 cm³?

    1000 mm³

  1. Convert 6 cm² to mm².

    600 mm2
    11 cm =10mm21 cm² =×=mm²36 cm² = 6 ×=mm²

  2. Convert 9 cm² to mm².

    900 mm2
    11 cm =mm21 cm² =×=mm²39 cm² = 9 ×=mm²

  3. A stamp has an area of 4 cm². What is its area in mm²?

    400 mm2
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