Question

A rectangular tank is 60 cm wide and 100 cm long. It can hold up to 150 liters of water when full. If you fill half of the tank, what is the height of the water in centimeters?

Answer 1

Given,

The width of the tank is = 60 centimetres

The length of the tank is = 100 centimetres

Total volume capacity of the tanke = 150 litres

To find,

The height of the water level if the tank is half filled.

Solution,

The volume capacity of the given tank

= 150 litres

= (150 × 1000) cm³

= 150000 cm³

Let, the height of the given tank = x cm

(Assume x as a variable to do the further mathematical calculations.)

Volume of the tank = 60×10×x = 600x cm³

According to the data mentioned in the question,

600x = 150000

x = 250

Hence, height of the tank = 250 cm

Height of the water level = 250/2 = 125 cm

Hence, the height of the water level will be 125 cm.