
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
When making a lidless iron box from a square iron sheet with a side length of 6 cm, by cutting off a small square of equal area at each of the four corners and then folding up the four sides, the volume of the iron box made is maximized. At this time, the side length of the small square cut off at the corners is

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