0580/23 Oct/Nov 2022, 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 mathematically similar bottles, the smaller holds 324 ml at 12 cm tall and the larger holds 768 ml; work out the larger bottle's height.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Volume scale factor = 768 ÷ 324 = 64/27
- 2Length scale factor = ∛(64/27) = 4/3
- 3Height = 12 × 4/3 = 16 cm
Answer16
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 LemmaraMore past-paper questions on volume factor of similar shapes
Also searched as: 0580/23/O/N/22 · 0580_w22_qp_23 · 0580 w22 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.