Lemmara logoLemmaraWorked solution

4MA1/1FR Jan 2022, Question 24: Surface Area of a Cuboid and Cylinder

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 6 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Find the total area of the four sides and top of a 12 m by 2.5 m by 3 m cuboid, then use paint coverage of 15 m² per tin and a £26.95 price after a 10% rise to show the pre-increase cost was under £200.

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

Solution · 6 marks

  1. 1Area: two ends 2 × 3 × 2.5 = 15, two sides 2 × 12 × 3 = 72, top 12 × 2.5 = 30
  2. 2Total = 117 m², and 117 ÷ 15 = 7.8, so he needs 8 tins
  3. 3Price before the 10% increase = 26.95 ÷ 1.1 = £24.50
  4. 48 × 24.50 = £196, less than £200, so Jonty is correct

AnswerJonty is correct

Stuck on a step? Read the free lesson: Surface Area of a Cuboid and Cylinder

Practise more surface area of a cuboid and cylinder questions

Real 4MA1 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 surface area of a cuboid and cylinder

Also searched as: 4MA1 1FR January 2022 · 4MA1/1FR · 4ma1 jan22 1fr · question 24.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.