
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
The height of a pyramid is 3, and the area of its base is 9. Find the volume of the prism, one base of which is part of the base of the pyramid, and the opposite base is a section of the pyramid created by a plane passing at a distance of 1 from the apex.

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