
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
In a truncated triangular pyramid, the height is 10 meters, the sides of one base are 27, 29, and 25 meters, and the perimeter of the other base is 72 meters. Determine the volume of the truncated pyramid.

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