AQA · Mathematics · 8300

GCSE Maths: Volume: prism

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Volume: prism (Corbettmaths Video 356), 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. What is the formula for the volume of a prism?

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    Volume = area of cross-section × length.

  2. A prism has cross-sectional area 21 cm² and length 6 cm. What is its volume?

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    126 cm³ (21 × 6).

  3. How do you find the length of a prism from its volume and cross-sectional area?

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    Length = volume ÷ cross-sectional area. E.g. 330 cm³ ÷ 55 cm² = 6 cm.

  4. What is the formula for the volume of a cylinder?

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    V = πr²h — the circular cross-section area πr² multiplied by the height (length).

  5. 1 litre = ? cm³

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    1000

  6. 1 m³ = ? litres

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    1000

  7. How many cm³ is 1 ml of water?

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    1 cm³ (1 ml = 1 cm³).

  8. How do you find the mass of a solid from its density and volume?

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    Mass = density × volume (e.g. density in g/cm³ × volume in cm³ gives grams).

  9. How do you find the volume of a solid given its mass and density?

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    Volume = mass ÷ density. E.g. 9.45 kg = 9450 g; 9450 ÷ 4.5 g/cm³ = 2100 cm³.

  10. How do you find the side length of a cube from its volume?

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    Take the cube root of the volume (side = ∛V), since V = side³.

  11. A triangular prism has volume 1232 cm³, length 20 cm and triangle height 14 cm. Find the base of the triangle.

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    8.8 cm. Cross-section area = 1232 ÷ 20 = 61.6 cm²; base = 2 × 61.6 ÷ 14 = 8.8 cm.

  12. Why can a swimming pool with a sloping floor be treated as a prism?

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    Its cross-section (a trapezium, from shallow to deep end) is constant along the width, so volume = trapezium area × width.

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