SOLUTION: A water tank is 25 cm long, 15 cm wide and 15cm high.Six identical cubes of length 5 cm are completely immersed in the water tank.Calculate the rise of the water level in the tank.

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Question 1049528: A water tank is 25 cm long, 15 cm wide and 15cm high.Six identical cubes of length 5 cm are completely immersed in the water tank.Calculate the rise of the water level in the tank.
Answer by ikleyn(52835) About Me  (Show Source):
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A water tank is 25 cm long, 15 cm wide and 15 cm high. Six identical cubes of length 5 cm are completely immersed
in the water tank.Calculate the rise of the water level in the tank.
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Let "h" be initial depth (level) of the water in the tank.
And let H be the final depth (level) after immersing (submerging ?) of the cubes.

Surely, we assume (the problem assumes it) that the final level is still lower than 15 cm high.

The initial volume of the water is 25*15*h cm%5E3.
The volume in the tank under the level H is 25*15*H cm%5E3.
Of this final volume 6*5^3 cm%5E3 is the volume occupied by 6 cubes.

The "water volume conservation law" says that

25*15*H - 25*15*h = 6%2A5%5E3,  or

H - h = %286%2A5%5E3%29%2F%2825%2A15%29 = 6%2F3%29 = 2 cm.

Answer.  The level of the water raised in 2 cm after submerging 6 cubes.