4024/11 May/Jun 2022, Question 4: Volume of a Prism
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Two cubes total 152 cm³, one with 5 cm edges; find the other cube's edge length and the total edge length of the larger cube.
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Part (a) · 2 marks
Subtract the volume of the 5 cm cube from 152 cm³, then take the cube root to get the other edge length.
- 15³ = 125
- 2Other cube: 152 − 125 = 27 cm³
- 3Edge = ∛27 = 3 cm
Answer3
Part (b) · 1 mark
Identify the larger cube, then multiply its edge length by 12 to get the total of all edges.
- 1A cube has 12 edges
- 212 × 5 = 60 cm
Answer60
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