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A cube 8.5 cm on each side has a mass of...

A cube 8.5 cm on each side has a mass of 0.65 kg. Will the cube float or sink in water? Prove your answer.

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Volume of the cube, `V=(8.5cm)^3=614cm^3=6144xx10^-6m^3`
Weight of water displaced by the cube when fully immersed in water,
`F_B=Vrhog=(614xx10^-6m^3)(10^3(kg)/(m^3))(9.8(m)/(s^2))=6N`
Weight of the cube, `W=0.65kgwt=0.65xx9.8=6.37N`
Since `WgtF_B`, The cube will sink.
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