The dimensions of a tank are 4m x 3m x 2m. When it is half full , it contains 12000 L of water. If 600 L water is added to the tank, how high will the water level rise ?

Given, dimensions of a tank are  4 m × 3 m × 2 m.

Therefore, volume of the tank = 4 m × 3 m × 2 m = 24 m³ = 24000 L  [As 1 m³ = 1000 L]

Now, it is given that when tank is half filled it contains 12000 L of water.

From above conditions we have, when the tank is completely filled i.e., have an water upto height of 2 m then it contains total 24000 L of water.

So, height of water level when the tank is half-filled = 2/2 m = 1 m

Now, 600 L of water is added to the tank.

Therefore, total amount of water in the tank = 12000 L + 600 L = 12600 L = 12.6 m³  

Let the height of water level = h m

According to the given conditions,

 4 m × 3 m × h m = 12.6

⇒ h = 1.05 m

So, increase in water level on adding 600 L of water  = 1.05 m - 1m = 0.05 m