
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, is cut away at the apex. What fractional part of the volume of the original pyramid is the volume of the remaining frustum?

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