Question:
A rectangular container, whose base is a square of side 5cm, stands on a horizontal table, and holds water up to 1cm from the top. When a solid cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.
Solution:
Let the length of each edge of the cube be ‘x’cm
Then, volume of the cube = Volume of water inside the tank + Volume of water that overflowed
$x^{3}=(5 * 5 * 1)+2$
$x^{3}=27$
x = 3 cm
Hence, volume of the cube $=27 \mathrm{~cm}^{3}$
And edge of the cube = 3 cm
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