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

Mathematics
JAMB 1986
The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume
  • A. 120m2
  • B. 576m3
  • C. 816m3
  • D. 1056m3
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Correct Answer: Option C
Explanation
Volume of solid = cross section x H

Since the cross section is a trapezium

= \(\frac{1}{2} (6 + 11) \times 12 \times 8\)

= 6 x 17 x 8 = 816m3
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