
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 pyramid is formed on a \(7 \times 9\) rectangular base. The four edges joining the apex to the corners of the rectangular base each have length \(15\). What is the volume of the pyramid?

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