
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
It is necessary to make a box in the shape of a rectangular parallelepiped with a base area of 1 cm². The sum of the lengths of all edges of the parallelepiped must be equal to 20 cm. For which dimensions of the box will its surface area be maximal?

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