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0580/13 May/Jun 2025, Question 8: Nets of 3D Shapes

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 6 marks

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The question, in short

From two faces of a cuboid drawn on a 1 cm² grid, find its dimensions, complete a full net on the grid, and calculate the volume.

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

Part (a) · 1 mark

State the three dimensions of the cuboid in cm from the two given faces.

  1. 1The square face is 3 squares by 3 squares; the rectangle is 5 squares by 3 squares
  2. 2Dimensions: 3 cm by 3 cm by 5 cm

Answer3, 3, 5

Part (b) · 3 marks

Draw the remaining faces on the grid to finish a complete net of the cuboid.

  1. 1A cuboid 3 × 3 × 5 needs two 3 × 3 faces and four 3 × 5 faces; two faces are drawn
  2. 2Draw a 5 × 3 face above and a 5 × 3 face below the 5 × 3 rectangle
  3. 3Draw another 5 × 3 face above the new top face
  4. 4Draw the second 3 × 3 square on the right-hand end of the 5 × 3 rectangle

AnswerFully correct net

Part (c) · 2 marks

Calculate the volume of the cuboid using its dimensions.

  1. 1Volume = 3 × 3 × 5
  2. 2= 45 cm³

Answer45

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Also searched as: 0580/13/M/J/25 · 0580_s25_qp_13 · 0580 s25 13 · question 8.
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