Question

The volume of water in a tank is 750 litres when it is full. If the length and breadth

Answer 1

Given parameters:

Volume of water in the tank = 750litres

Length of the tank = 150cm

Breadth of tank = 50cm

Unknown:

Height of the tank = ?

To solve this problem, we must understand the concept of volume. Volume is a property of solid bodies. It is mathematically derived as:

  Volume  = length x Breadth x height

The unknown here is the height and we should go ahead to solve for it.

But the units are inconsistent.

Therefore, convert litres to cm³;

          1 litre  =  1000cm³  

         750 litres = 1000 x 750  = 750,000cm³      

Now input the parameters and solve for the height;

          750000 = 150 x  50 x height

                height  = $\frac{750000}{7500}$   =  100cm

Therefore, the height of the tank is 100cm