
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 square pyramid has a base edge of 36 inches and an altitude of 15 inches. A smaller square pyramid, with its dimensions scaled down by a factor of 1/3 from the original, is cut away from the apex of the original pyramid. What fractional part of the volume of the original pyramid does the remaining frustum represent?

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