AQA · Mathematics · 8300

GCSE Maths: Surface area: cuboid

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Surface area: cuboid (Corbettmaths Video 310), 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 faces does a cube have?

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    6 faces.

  2. The surface area of a cube with side length s is ?.

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    6s²

  3. What is the surface area of a cube with side length 5cm?

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    150cm². Each face is 25cm², and there are 6 faces: 6 × 25 = 150.

  4. Why is Joshua incorrect when he says a cube with side 10cm has surface area 1000cm²?

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    He calculated the volume (10³ = 1000cm³), not the surface area. Surface area is 6 × 10² = 600cm².

  5. How many faces does a cuboid have?

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    6 faces (arranged in 3 pairs of opposite, equal rectangles).

  6. Why is Mary incorrect when she says the surface area is 82cm² for a cuboid with front 40cm², top 30cm², and side 12cm²?

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    She only counted three faces. A cuboid has 6 faces, so the surface area is 2(40 + 30 + 12) = 164cm².

  7. The surface area of a cuboid with dimensions l, w, and h is ?.

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    2(lw + lh + wh)

  8. If a cube has a volume of 1000cm³, what is its surface area?

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    600cm². Volume = s³ = 1000, so s = 10cm. Surface area = 6s² = 6 × 100 = 600cm².

  9. What is the surface area of a cube with side length 7cm?

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    294cm². Surface area = 6 × 7² = 6 × 49 = 294.

  10. If a cube has a surface area of 54cm², what is its side length?

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    3cm. Since 6s² = 54, s² = 9, so s = 3.

  11. What units should be used for surface area?

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    Square units (e.g., cm², m², mm²) because surface area measures two-dimensional space.

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