TITLE: If a body is floating in a static fluid, then the volume of the displaced fluid equal to the volume of the inmerse part of the object (proof)
QUESTION [0 upvotes]: Suppose an arbitrary body is floating in a static fluid, either totally or partially immersed in it, then the volume of the displaced fluid equal to the volume of the immersed fraction of the object.
How can I prove it?. I've tried to do it, but I don't know how to proceed.

REPLY [2 votes]: It's just a matter of conservation of volume.
You need to start by stating assumptions that are obvious, prima-facia, that anyone would agree with, such as the liquid being incompressible.
Then you say, if one accepts these assumptions, then do like @User58220 said, assume the contrary and derive a contradiction.
Suppose you have to explain it to someone, and meet every objection they might have.
Then you have the outline of your proof.
It doesn't have to be "mathematical".
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