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O-LevelMathematicsMensuration4024/12 · May/June 2019 · Q213 Marks

A cuboid has a square base. The length of the base of the cuboid is y cm. The height of the cuboid is twice the length of its base. The total surface area of the cuboid is 360 cm². Find the height of the cuboid.

  1. Find the height of the cuboid.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [3] 12
  2. [B2] for y = 6
  3. [M1] or for 2 × y² + 4 × y × 2y [ = 360 ] oe
  4. [SC1] If 0 scored, SC1 for ky² = 360 seen, leading to √(360/k)

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About this question

Topic
Mensuration, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, May/June 2019 Paper 1 Variant 2, question 21.

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