Every time a person takes a bath, Archimedes' principle is observed as the tub is filled to a certain level and, once the bather enters the water, it rises based on the volume of water weight that the person's body displaces. Adding chicken to a pot of boiling water yields the same results but on a smaller scale.
Archimedes' principle dictates that the buoyant force that acts on a body that is partially or totally immersed in a fluid is the same as the weight of the fluid that the body displaces. A ship floating on the water displaces an amount of water weight equal to its own weight. If it displaces less water than its weight, it sinks.
Archimedes of Syracuse reportedly discovered items related to this principle as he was taking a bath. He has been tasked with trying to solve a problem of a piece of gold adornment that had been given to a king and was suspected of having cheap metal mixed in with the gold. He noticed that the water in his bath raised a certain amount based on how deep his body was submerged. He was so excited that he ran naked through the streets yelling, "eureka!" The examples of this principal can be seen repeatedly in every day scenarios.