
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
Given a cube with 4-inch edges made of 64 cubes with 1-inch edges, where 48 are white and 16 are placed at the corners, calculate the fraction of the surface area of the larger cube that is white.

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