4MA1/2FR Jun 2019, Question 11: Volume of a Prism
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks
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The question, in short
Work out whether 4 crates of size 72 cm by 36 cm by 75 cm can hold all 5700 bricks, each 9 cm by 3 cm by 5 cm, showing working.
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Solution · 4 marks
- 1Bricks along each edge: 72 ÷ 9 = 8, 36 ÷ 3 = 12, 75 ÷ 5 = 15
- 2Bricks in 1 crate = 8 × 12 × 15 = 1440
- 3Bricks in 4 crates = 4 × 1440 = 5760
- 4Yes, 1440 bricks fit in one crate and 1440 > 1425 (or 5760 > 5700)
AnswerYes, 1440 bricks fit in one crate and 1440 > 1425 (or 5760 > 5700)
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