AQA · Mathematics · 8300

GCSE Maths: Volume: L-shape prism

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Volume: L-shape prism (Corbettmaths Video 358), 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. Why does an L-shaped solid count as a prism?

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    Its cross-section (the L-shape) is identical all the way along its length.

  3. How do you find the cross-sectional area of an L-shaped prism?

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    Split the L-shape into two rectangles, find each area, and add them together.

  4. A prism has cross-sectional area 30 cm² and length 12 cm. What is its volume?

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    360 cm³ (30 × 12).

  5. 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.

  6. A prism has volume 300 cm³ and cross-sectional area 25 cm². What is its length?

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    12 cm (300 ÷ 25).

  7. How many cm³ are in 1 m³?

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    1,000,000 cm³ (100 × 100 × 100).

  8. Before finding a prism's volume in m³, what must you do with lengths given in cm?

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    Convert them to metres first (divide by 100), so all dimensions are in the same unit.

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