This is an old question but still there's something I could not understand. Here it goes: A glass of water has an ice cube floating in it.The water level just touches the rim of the glass. will the water overflow when the ice melts?

This is how I imagined the scenario:

Now everywhere I see its explanation is given using Archimedes principle like this "Volume of the Ice will be equal to volume of water displaced". But from what I know Archimedes principle states that volume of water displaced is equal to volume of object immersed in water and here the object is NOT completely immersed.

And now wish to get a proper explanation of why when the ice melts , the water won't overflow.