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

Answer» Let l be the length of each side of wooden cube in cm. Since the cube rises 2cm out of water when a 200 g mass placed at the centre of its top face is removed, hence.
upward thrust of water on cube due to displaced volume of water , `V(=l xx l xx 2)` ust be equal to weight of mass removed.
so, `l xx l xx 2 xx 1 xx g = 200 g or l^(2) =(10)^(3)`
`=1000 cm^(3)`.


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