4MA1/1H Jun 2023, Question 23: Frustum of a Cone
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Using similar square-based pyramids with heights 15 cm and 45 cm and a large base side of 39 cm, calculate the frustum's total surface area, rounded to the nearest whole number.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Scale factor 15 ÷ 45 = 1/3, so the top square has side 13 cm
- 2Square faces: 39² + 13² = 1690 cm²
- 3Frustum height 30, step (39 − 13) ÷ 2 = 13, so slant height = √(30² + 13²) = 32.695…
- 4Four trapezia: 4 × ½ × (39 + 13) × 32.695… = 3400.3…
- 5Total = 1690 + 3400.3… = 5090
Answer5090
Stuck on a step? Read the free lesson: Frustum of a Cone
Practise more frustum of a cone questions
Real 4MA1 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 frustum of a cone
Also searched as: 4MA1 1H June 2023 · 4MA1/1H · 4ma1 jun23 1h · question 23.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.