
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 cube with 4-inch edges is made using 64 cubes with 1-inch edges. Forty-eight of the smaller cubes are white and sixteen are black. If the sixteen black cubes are placed along the edges of the larger cube, each edge containing two black cubes (one at each endpoint), what fraction of the surface area of the larger cube is white?
A) $\frac{1}{6}$ 
B) $\frac{1}{3}$
C) $\frac{1}{2}$
D) $\frac{4}{6}$
E) $\frac{5}{6}$

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