Question 1146481
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The original cube has 8 corners; each of them will be painted of 3 faces.  The question then is how many other cubes will be painted on 3 faces after the two tunnels are taken out.<br>
The problem says that both tunnels are 4 cubes, so that means the tunnels do not intersect.<br>
However, there are different ways to take out two non-intersecting tunnels of 4 cubes each, and they produce different numbers of additional faces that will be painted on 3 sides.<br>
So the statement of the problem is not sufficiently precise to answer the question.