
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 water tank from a square sheet of iron with a side length of 120 cm by cutting out small squares from each corner and then bending the sides up at 90-degree angles before welding to form the tank. Find the maximum volume of the tank.

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