I added further definition. There are no numbers in this question, it is theoretical where everything is equal except the thermal conductivity of the cubes. I am curious if the cubes will end up at the same temperature (so temp as t goes to infinity is independent of K) or not.
It's a constant heat flux applied to only the bottom surface of each cube, and the cubes are not in contact. I'd think they would end up at the same temperature over a long enough time period. The cube with the higher k would get there faster. But I was second guessing thinking that the cube...