JAMB Mathematics 1986 Question 36

Question 36

Mensuration of Solids

The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume

Diagram for this question
  1. A.102m3
  2. B.576m3
  3. C.816m3
  4. D.1056m3.
Show the answer and explanation

Answer: C (816m3)

Explanation

The trapezium has parallel sides PQ = 6m and RS = 11m, 12m apart, so its area is ½(6 + 11) × 12 = 102m². The solid is 8m long, giving 102 × 8 = 816m³.