
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 40 inches and an altitude of 18 inches. A smaller similar square pyramid, whose altitude is one-third of the original altitude, is cut away at 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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