Each of the cubes in the figure has its vertices numbered. Which of cubes A through E might be the same as the original cube seen from a different position? There may be multiple cubes that work. For the cubes that do not work, explain what about them could be changed so they'd work too.
Solution
Cubes A, B, and E work; C and D do not. For Cube C, vertices 3 and 4 should be switched. For Cube D, vertices 6 and 7 should be switched.