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0580/22 Oct/Nov 2024, Question 23: Volume Factor of Similar Shapes

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks

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The question, in short

Similar boxes: small length 3.5 cm, large length x cm; large volume is 72.8% greater than small volume. Calculate x.

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

Solution · 3 marks

  1. 1Volume scale factor = 1 + 72.8/100 = 1.728
  2. 2Length scale factor = ∛1.728 = 1.2
  3. 3x = 3.5 × 1.2 = 4.2

Answer4.2

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Also searched as: 0580/22/O/N/24 · 0580_w24_qp_22 · 0580 w24 22 · question 23.
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