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

A cube of wood floating in water supports a 200g mass at the centre of its top face. When the mass is removed, the mass rises by 2cm. Determine the volume of cube. Correct Answer 1000cm3

Let the side of the cube be l cm. As the mass 200g is removed, the cube rises by 2 cm. So by law of floatation, Upthrust on cube due to displaced volume of water = 200gf l×l×2×l×g=200×g l2=100 So, l=10cm Therefore, volume of the cube = 103=1000cm3.

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