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0580/32 May/Jun 2022, Question 4: Composite Perimeter, Area and Volume

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 9 marks

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The question, in short

Use a cuboid net with rectangle A and given edge lengths 5 cm and 7.8 cm, plus a cylinder and a parallelogram-circle diagram, to find areas, dimensions, volume and shaded area.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (ai) · 2 marks

Find the area of the shaded rectangle A using the lengths shown on the net.

  1. 1Rectangle A has sides 7.8 cm and 5 cm
  2. 2Area = 7.8 × 5 = 39 cm²

Answer39

Part (aii) · 2 marks

Given volume 468 cm³, complete the three dimensions of the cuboid in cm.

  1. 1Third dimension = 468 ÷ 39 = 12 cm
  2. 25 cm by 7.8 cm by 12 cm

Answer5, 7.8, 12

Part (b) · 2 marks

For a cylinder with radius 8 cm and height 12 cm, calculate its volume in terms of π.

  1. 1V = π × 8² × 12
  2. 2= 768π cm³

Answer768π

Part (c) · 3 marks

Find the shaded area between a parallelogram of base 12 cm and a circle of diameter 7 cm touching two sides.

  1. 1Height of parallelogram = diameter = 7 cm
  2. 2Circle area = π × 3.5² = 38.48…
  3. 3Shaded = 12 × 7 − π × 3.5² = 84 − 38.48…
  4. 4= 45.51… ≈ 45.5 cm²

Answer45.5 or 45.51 to 45.52

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Also searched as: 0580/32/M/J/22 · 0580_s22_qp_32 · 0580 s22 32 · question 4.
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