
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
Use a rectangular iron sheet measuring 90cm in length and 48cm in width to make an open-top rectangular container. First, cut out a small square at each of the four corners. Then, fold the four sides up at a 90-degree angle and weld them together. When the side length of the cut-out square is ______ cm, the volume of the rectangular container is maximized.

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