JAMB 1997 · UME · Q30

A prism has a uniform cross-section in the shape of a trapezium with parallel sides 8 cm and 10 cm, 5 cm apart. If the prism is 11 cm long, find its volume.

Worked solution (try it first)
  1. Area of the trapezium: half the sum of the parallel sides times the distance between them, 12(8+10)×5=45 cm2\frac12(8 + 10) \times 5 = 45\text{ cm}^2.
  2. Volume = cross-section × length: 45×11=495 cm345 \times 11 = 495\text{ cm}^3, option D.

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