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4MA1/2F Jan 2021, Question 14: Volume of a Prism

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

Use a trapezium with parallel sides 13.5 cm and 17 cm and height 10.4 cm, and a cuboid 15.5 cm by 8 cm by x cm with volume 806 cm³, to find the trapezium area and x.

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

Part (a) · 2 marks

Calculate the area of the trapezium using its parallel sides 13.5 cm and 17 cm and perpendicular height 10.4 cm.

  1. 10.5 × (13.5 + 17) × 10.4
  2. 20.5 × 30.5 × 10.4
  3. 315.25 × 10.4
  4. 4158.6

Answer158.6

Part (b) · 3 marks

Given the cuboid volume 806 cm³ and base dimensions 15.5 cm and 8 cm, find the height x.

  1. 115.5 × 8 = 124
  2. 215.5 × 8 × x = 806
  3. 3806 ÷ 124
  4. 46.5

Answer6.5

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