
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
We want to make an open-top rectangular prism-shaped box with a square base from a square sheet of paper with a side length of $20 \mathrm{~cm}$. To do this, we cut congruent squares from each of the four corners of the paper and fold up the resulting "flaps." What is the maximum possible volume of the box?

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