Answer:
12
Step-by-step explanation:
A cube has 6 faces. That includes the corner cubes, which have 3 faces exposed and 3 that are not seen. When a corner cube is removed from the larger cube, the three mating unseen faces now become visible.
3 faces are added to the figure by removal of each corner cube, so removal of 2 corner cubes adds 6 faces to the 6 already seen. The new solid will have a total of 12 faces.