Problem:
The faces of a cube are painted in six different colors: red, white, green, purple, yellow, and black. Three views of the cube are shown below. What is the color of the face opposite the yellow face?
Answer Choices:
A. red
B. white
C. green
D. purple
E. black
Solution:
Using the first and third cubes, we can see that black is opposite purple (both have red and green connected). Similarly, with the first and second cubes, we see that green and white are opposites. This means that yellow must be opposite red. Thus, the correct answer is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions