AQA · Mathematics · 8300

GCSE Maths: Units: converting volumes

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Units: converting volumes (Corbettmaths Video 351), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

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  1. How many cubic centimetres (cm³) are in 1 cubic metre (m³)?

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    1,000,000 cm³. Since 1 m = 100 cm, when converting volume you cube the conversion factor: 100³ = 1,000,000.

  2. How many cubic millimetres (mm³) are in 1 cubic centimetre (cm³)?

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    1,000 mm³. Since 1 cm = 10 mm, when converting volume you cube the conversion factor: 10³ = 1,000.

  3. To convert 3 m³ to cm³, what operation should you perform?

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    Multiply by 1,000,000 (or by 100³). Result: 3,000,000 cm³.

  4. When converting a linear measurement to volume, you must ? the conversion factor.

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    cube

  5. How many cubic centimetres (cm³) equal 1 litre?

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    1,000 cm³. This is given as a conversion fact in the worksheet.

  6. To convert 5 litres to cm³, what operation should you perform?

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    Multiply by 1,000. Result: 5,000 cm³.

  7. How many millilitres (ml) are in 1 litre?

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    1,000 ml. Since 1 litre = 1,000 cm³ and 1 cm³ = 1 ml.

  8. How many cubic millimetres (mm³) are in 1 cubic metre (m³)?

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    1,000,000,000 mm³ (or 10⁹ mm³). Since 1 m = 1,000 mm, you cube this: 1,000³ = 1,000,000,000.

  9. Why is it incorrect to say that 2 m³ = 200 cm³?

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    Volume requires cubing the linear conversion factor. Since 1 m = 100 cm, 1 m³ = 100³ = 1,000,000 cm³, so 2 m³ = 2,000,000 cm³, not 200 cm³.

  10. How many square centimeters are in 1 square meter?

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    10,000 cm². (100 cm × 100 cm = 10,000 cm²)

  11. To convert from m² to cm², multiply by ?.

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    10,000

  12. To convert from m³ to cm³, multiply by ?.

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    1,000,000

  13. If kitchen tiles are 20 cm × 20 cm, how many tiles fit in 1 square meter?

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    25 tiles. (1 m² = 10,000 cm²; each tile = 400 cm²; 10,000 ÷ 400 = 25)

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