Archimedes Discovered Measurement Of The Volume Or Density Of An Object How Useful Is That Nowadays?


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Mark S answered
It is used to determine the weight (mass) of a ship. There are no scales big enough to weigh a ship so what mariners do is calculate the volume of the underwater section of the hull of the ship (length X breadth X height) approximately. The (average) density of sea-water is known (1025 kg/m3). We know from the Law of Flotation  (which is derived from Archimedes Principle) that in order for a vessel to float it must displace a volume of water equal to its own weight. Therefore if we can calculate the Mass of the displaced sea-water displaced by the hull we will know the weight of the ship because they are equal.  This is the formula: Density = Mass/ Volume Therefore: Mass = Density X Volume

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