
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
Construct an open-topped rectangular container using a piece of rectangular sheet metal measuring 90 cm by 48 cm. Begin by cutting out an identical small square from each of the four corners; afterwards fold up the sides at 90-degree angles and weld them together to form the container. Determine the length of the side of the small square that should be cut off to maximize the volume of the resulting rectangular box.

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