4MA1/2H Jun 2020, Question 18: Trigonometry in 3D: Cuboids
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 5 marks
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The question, in short
Cuboid ABCDEFGH has AB = 5 cm, AH = 4 cm, and the angle between CH and plane ABCD is 35°. Calculate the cuboid's volume to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1The angle is HCA = 35°: AH = 4 is opposite, AC is adjacent
- 2AC = 4 ÷ tan 35° = 5.712…
- 3BC = √(5.712…² − 5²) = 2.763…
- 4Volume = 5 × 2.763… × 4 = 55.26… = 55.3
Answer55.3
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