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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 up to 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.
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Solution
Let the length of each edge of the cube be x cm
Then,
Volume of cube = volume of water inside the tank + volume of water that over flowed
`x^3=(5xx5xx1)+2=25+2`
`x^3=27`
`x=3cm.`
Hence, volume of cube `= 27cm^3`
And edge of cube = `3cm`
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