Problem:
An wooden cube is formed by gluing together unit cubes. What is the greatest number of unit cubes that can be seen from a single point?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
At most three of the large cube's six faces can be seen at once. Excluding the unit cubes of the three closest edges, the three visible faces contain unit cubes. The three edges contain unit cubes plus the single, shared corner cube. Therefore the desired number is .
The unseen unit cubes form a cube. Thus the number of unit cubes that can be seen is .