Cube-shaped container

The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, the water level in the container dropped by 12 cm. How much l of water remained in the container?

Correct result:

V =  9 l

Solution:

h=52 cm dm=52/10  dm=5.2 dm V1=2.7 l dm3=2.7 1  dm3=2.7 dm3 h2=12 cm dm=12/10  dm=1.2 dm  V1=h2 S S=V1/h2=2.7/1.2=94=2.25 dm2  V2=S h=2.25 5.2=11710=11.7 l  V=V2V1=11.72.7=9 l



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