Question

The picture below is of a water trough:-

The front and back faces are identical isosceles trapeziums. How many litres of water can it hold?

• A. 875 litres.
• B. 766 $m^3$.
• C. 1242 litres.
• D. 1000 litres.

Answer 1

The correct option is C

1242 litres.

The area of a trapezium = $\frac{1}{2}({\text{base}}_1+{\text{base}}_2)\times$ height =$\frac{1}{2}[1.6+3]\times 0.6$

=$\frac{4.6}{2}\times 0.6$

=4.6 $\times$ 0.3 = 1.38 $m^2$

The volume of the trough is $1.38\times 0.9=1.242m^3$

1$m^3$ = 1000 litres. Hence , 1.242 $m^3$ = 1.242 $\times$1000 = 1242 litres.

The trough can hold 1242 litres of water.