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 If the tank is completely filled with water, how many cubic metres can it hold?

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

If the tank is completely filled with water, how many cubic metres can it hold?

A 66m³
B 84m³
C 132m³
D 168m³
E 264m³

waec 1988 mathematics

The correct answer is C. 132m³

Area of trapezium = ¹/₂(a+b)h

= ¹/₂(4 + 7)x4 = 22m²

volume = 22 x 6 = 132m³

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