
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
Martha wants to design a cardboard box with square bases and a height twice the length of the sides of the square. Determine the height of the box if Martha requires the surface area of the box to be at least 120 square units while using the least amount of cardboard.

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