
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 five wooden sticks with lengths of 2 cm, 3 cm, 5 cm, 6 cm, and 9 cm to construct a rectangular box (only by connecting, no breaking allowed), and forming three edges that meet at a common vertex, calculate the maximum surface area that can be obtained for the rectangular box.

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