
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 cube has an edge length of 3. A square hole with a side length of 1, which goes through to the opposite side, is drilled in the exact center of each face, and the edges of the hole are parallel to the edges of the cube. Find the volume of the resulting solid.

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