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Question -

A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water upto 1 cm from the top. When a 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.



Answer -

Base of the container = 5 cm x 5 cm
Level of water upto 1 cm from the top After placing a cube in it, the waterrises to the top and 2 cubic cm of water overflows,
(i) ∴ Volume of water = 5 x 5 x1 + 2 = 25 + 2 = 27 cm3
∴ Volume of cube = 27 cm3

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