Lemmara logoLemmaraWorked solution

0580/23 Oct/Nov 2024, Question 18: Volume Factor of Similar Shapes

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Given two similar solids with volumes 81 cm³ and 24 cm³ and the smaller one's height 4.8 cm, work out the larger solid's height.

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

Solution · 3 marks

  1. 1Volume scale factor = 81/24 = 27/8
  2. 2Length scale factor = ∛(27/8) = 3/2 = 1.5
  3. 3Height = 4.8 × 1.5 = 7.2 cm

Answer7.2

Stuck on a step? Read the free lesson: Volume Factor of Similar Shapes

Practise more volume factor of similar shapes questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on volume factor of similar shapes

Also searched as: 0580/23/O/N/24 · 0580_w24_qp_23 · 0580 w24 23 · question 18.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.