Let M = Mass of the floating solid
ρ1 = density of liquid formed by the melting of the solid
ρ2 = density of the liquid in which the solid is floating
The mass of liquid displaced by the solid is M. Hence, the volume of liquid displaced is M/ρ1.
When the solid melts, the volume occupied by it is M/ρ1. Hence, the level of liquid in container will rise or fall according as
There will be no change in the level if ρ1 = ρ2 . In case of ice floating in water ρ1 = ρ2 and hence, the level of water remains unchanged when ice melts.