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A cube of wood floating in water support...

A cube of wood floating in water supports a `200 g` mass at the centre of its top face. When the mass is removed , the mass rises by `2cm.` Determine the volume of cube.

Text Solution

Verified by Experts

The correct Answer is:
1000
Let the side of the cube be l cm. As the mass of 200 g is removed, the cube rises by 2 cm. So by law of floatation
UP thrust on cube due to displaced volume
`(V = l xx l xx 2 cm ^(3)) ` of water = 200 g f
or ` l xxl xx 2 xx 1 xx g = 200 xx g ` `:. l^(2) = 100 or l = 10 cm `
` :.` Volume of the cube ` = (10)^(3) = 1000 cm ^(3)`
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