
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
Given there is a piece of iron wire 18m long to be formed into a rectangular frame where one side of the base is twice as long as the other, determine the length of the shorter side of the base when the volume of the rectangular box is maximized.

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