
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A wooden cube with edge length $n$ units (where $n$ is an integer $>2$) has only its top and bottom faces painted black. The cube is then cut into $n^3$ smaller cubes each of unit length. If the number of smaller cubes with only one face painted black is equal to twice the number of smaller cubes with no faces painted, what is $n$?
A) 3  
B) 4  
C) 5  
D) 6

Present the answer in LaTex format: \boxed{Your answer}
user