
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 right pyramid with a hexagonal base has a total surface area of 972 square units. The area of each triangular face is one third the area of the hexagonal face. Calculate the volume of the pyramid.

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