1. Sixty-four unit cubes were glued together to make a 4 × 4 × 4 cube. How many 1 × 1 pairs
of faces were glued together to make the larger cube?
2. A cube is painted red and then cut into 64 identical smaller cubes. How many of these cubes
are painted red on at least one face?
3. A cube is painted red and then cut into 1000 identical smaller cubes. How many of these
cubes are painted red on at least two faces?