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A water tank is made with a right-angled trapezium - shaped vertical cross-section so that...

Mathematics
WAEC 1988

A water tank is made with a right-angled trapezium - shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
By what number will you multiply your answer in 22 above to determine the capacity of the tank in liters?

  • A. 1/10
  • B. 1
  • C. 10
  • D. 100
  • E. 1000
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Correct Answer: Option E
Explanation

The shape is a prism so volume of the tank = base area x height = \(\frac{1}{2}\)( a + b) x height = \(\frac{1}{2}\)(4 + 7) x 4 x 6 = 132cm\(^3\)

But 1000cm\(^3\) = 1litres

132cm\(^3\) = 


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