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0580/22 Oct/Nov 2022, Question 22: Volume Factor of Similar Shapes

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

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The question, in short

Two similar objects have volumes 56 cm³ and 875 cm³; the smaller height is 18 cm. Find the larger object's height.

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Solution · 3 marks

  1. 1Volume scale factor = 875 ÷ 56 = 15.625
  2. 2Length scale factor = ∛15.625 = 2.5
  3. 3Height = 18 × 2.5 = 45 cm

Answer45

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