Archimedes was asked by his king to figure out a way of telling if people were giving him fake gold objects. That was when Archimedes discovered his famous principle: an object placed in water displaces the same volume of water as the object’s volume. Explain how Archimedes used this to solve his problem.
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idk what this has to do with geometry.
i think this would help... this was from noseboy908
"Archimedes found that if the volume of an object is x, then it displaces x amount of water. So, knowing that density of anything if found by mass over volume, you need to find the mass next. that's the easy part. Once you know both mass and volume, you have to divide them as I showed: mass/volume. That gives you density, which is unique for each element. Thusly, if the object's density was not the same as the known density of pure gold, then it's not pure gold. "