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The mass of a stone in water is the mass of the stone outside water.

The mass of an object is always its mass. (This assumes we are not discussing the theory of relativity.) On Earth, or the Moon or in water or not, mass is mass.

What might be relevant, however, is the weight of a stone in water compared to the weight of a stone outside the water. Weight and mass are different. If you hold a stone in water and hold the same stone in air, you can feel a difference in the force you must apply to support the stone.

In water, the stone feels a buoyant force equal the the weight of the water displaced. That is Archimedes principle.

There is a difference in the apparent weight of a stone in water and a stone out of water equal to the eight of the water displaced.

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