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0580/13 May/Jun 2021, Question 7: Nets of 3D Shapes

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 5 marks

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The question, in short

A cuboid-shaped box, open at the top, measures 5 cm by 2 cm by 4 cm. Use the grid to construct a net, then calculate the painted outside area.

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

Part (a) · 3 marks

Draw a net for the open-topped cuboid on the 1 cm² grid.

  1. 1Draw the base as a 5 cm by 2 cm rectangle.
  2. 2Attach a 5 cm by 4 cm rectangle to each 5 cm edge of the base.
  3. 3Attach a 2 cm by 4 cm rectangle to each 2 cm edge of the base.
  4. 4No top face, so the net has 5 faces.

AnswerCorrect net

Part (b) · 2 marks

Calculate the total outside surface area of the box that gets painted.

  1. 1Area = 2 × (5 × 4) + 2 × (2 × 4) + 5 × 2
  2. 2= 40 + 16 + 10
  3. 3= 66 cm²

Answer66

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Also searched as: 0580/13/M/J/21 · 0580_s21_qp_13 · 0580 s21 13 · question 7.
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