Question

Why does a nail sink in water whereas a cork floats

Answer 1

Answer:

because of different in area

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Answer 2

The density of the nail (≈ 7.8 gcm-2) is more than the density of water (≈1 gcm-2), therefore the weight of the nail is more than the upthrust experienced by it causing it to sink.  

However, A boat floats because the boat is hollow from inside and this space is filled with air which reduces the average density of the boat lower than that of water.  

Thus even with a small portion of the boat submerged underwater, the weight of the water displaced by it becomes equal to the weight of the entire boat attaining a floating equilibrium.

Hence, A Boat floats in water whereas An Iron Nail sinks in water