Explain how Archimedes principle determines the bouyant force on an object any any fluid medium?

Answer 1

As an object moves a fluid out of its way to make space for itself the fluids fights back. This way the weight of the object is balanced out by the buoyant force which is equal to the weight of the volume of the displaced fluid. This is why the buoyant force equal to the density of the fluid displaced times the displaced volume.