Q:

In a glass of water, will an ice cube ever touch the bottom?

No matter the mass of the ice cube or the level of the water, will the ice cube ever touch the bottom of the glass or will there always be a layer of water in between?

A:

Well if you put an ice cube into an empty glass, most people would say it is touching the bottom (big glass).   The nit pickers may claim there is a melted layer of water in between.   But this glass has been chilled to -10 deg C first.
So yes; the ice cube can touch the bottom.
Now if I add water, the cube will not float until 9/10 or 10/11 or so of the cube is under water.
So most likely, the ice cube will touch the bottom.

