
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-top rectangular box with a square base using sheet metal, with the requirement that the volume of the box be 4. Determine the height of the box when the least amount of material is used.

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