
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 rectangular sheet of iron with a length of 90cm and a width of 48cm is used to make an open-top rectangular container. By cutting out a small square at each of the four corners, then folding up the sides at a 90-degree angle and welding them together, the volume of the resulting rectangular container will be maximized when the side length of the cut-out squares is

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