
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 square pyramid, whose edge is one-third the length of the original pyramid's base edge, is cut away from the apex. What fractional part of the original pyramid's volume does the remaining frustum represent?

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