The volume of water in a tank is 750 litres when it is full. If the length and breadth
of the tank are 150 cm and 50 cm respectively, find the height of the tank.
The volume of water in a tank is 750 litres when it is full. If the length and breadth
of the tank are 150 cm and 50 cm respectively, find the height of the tank.

Respuesta :

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  = [tex]\frac{750000}{7500}[/tex]   =  100cm

Therefore, the height of the tank is 100cm

Answer: 750000 = 150 x 50 x height

height = = 100cm

Explanation:

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