The Official SAT Question of the Day™

In the figure above, two views of the same cube are shown. If each face of the cube has a different symbol on it, how many faces of the cube have not been shown in either view?

A None
B One
C Two
D Three
E It cannot be determined from the information given.

Answer is B

Here's Why:

A cube has six faces. View I and View II each show three faces of the cube. However, each face of the cube has a different symbol on it, so that the face with a circle on it in View I is the same as the face with a circle on it in View II. Thus, five of the six faces of the cube are shown in the two views. Therefore, exactly one face of the cube is not shown in either view.


Difficulty: Medium
Question Type: Standard Multiple Choice

(Mathematics)