The weight of a floating body is equal to the weight of water displaced by it.If two floating objects of same weight but having different volumes displace different volume of water.Obviously the weight of this displaced water will be different due to different volumes..But as these two are floating objects the weight of displaced water will be equal to weight of the objects which are same.How is it possible please expalin in detail.

According to Archimedes Principle that when a body is completely or partially immeresed in a fluid the body experiences buoyant force which is equal fluid displaced by body.
According to this the object which has density less than the liquid in which it is immersed than it float and if its density is more then liquid the it will sink 
Buoyant force is an important factor to decide whether an object will float .

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