A body will displace it's own volume when immersed in a fluid. So, if your bath is full and you get in you'll spill your own (body) volume on the floor.
As a bonus, "Eureka!" is Ancient Greek for "where's my towel?".
One of the above may not be entirely true... :)
Read the Wiki page on Archimedes, there are several fascinating bits of technology that he's associated with.
Citing from our Ansys Innovation Courses "Archimedes' Principle states that the pressure force acting on a body immersed in a static fluid equals the weight of the fluid it displaces"
You can take a look at this course on Fluid Statics for a better explanation of this principle. In particular you may be interested into the second lesson of the course. The description should give a complete overview of the Principle.
Archimedes principle states that-"any body completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward, or buoyant, force, the magnitude of which is equal to the weight of the fluid displaced by the body." Means that suppose a brick is thrown in water, the brick initially sinks and looses a part of its weight, which is replaced by the buoyant force acting from below that helps keep the brick afloat. To have a better understanding, you can look up to this illustration.
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