A rectangular container, whose base is a square of side 5cm, stan… - Vidyadip

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.

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Answer

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
x³ = (5 × 5 × 1) + 2
x³ = 27
x = 3cm
Hence, volume of the cube = 27cm³
And edge of the cube = 3cm

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