
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 24 inches and an altitude of 18 inches. A smaller square pyramid whose altitude is one-third of the original pyramid's altitude is cut away from the apex. What fractional part of the original pyramid's volume is the resultant frustum's volume?

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