
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 an edge length of $12 \text{ cm}$ was divided into smaller identical cubes such that the sum of all their surface areas was eight times greater than the surface area of the original cube.

Determine how many small cubes there were and the length of their edges.

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