A water tank in the shape of a prism has isosceles trapeziums as bases whose dimensions are shown below.

The length of the tank is 80 centimetres. How many litres of water can it contain?

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Solution

Parallel sides of the trapezium are 75 cm and 50 cm.

Height of the trapezium = 40 cm

Area of the trapezium = × Sum of parallel sides × Height

∴ Base area of the tank = 2500 cm²

Length of the tank = Height of the tank = 80 cm

Volume of the tank = Base area × Height

= 2500 × 80 cm³

= 200000 cm³

We know that 1 L = 1000 cm³

∴ 200000 cm³ =

Thus, the water tank can contain 200 litres of water.

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