
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
A question from the ancient Chinese mathematical masterpiece "Jiuzhang Suanshu" (The Nine Chapters on the Mathematical Art) reads: "There is a right rectangular prism whose base is a right-angled triangle with the shorter side measuring two zhang and the longer side measuring eighteen zhang and six chi, and the height of the prism is two zhang and five chi. How much is its volume?" The question in essence asks, "Given a right rectangular prism with a right-angled triangle as its base, where the widths of the right-angled sides are two zhang and the lengths are eighteen zhang and six chi, and the height is two zhang and five chi, what is its volume?" It is known that one zhang is equivalent to ten chi. What is the surface area of the circumscribed sphere of the prism in square chi?

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