
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
The diagonal of the square base of a regular quadrilateral pyramid is equal to its lateral edge and is equal to \(a\). Find the total surface area of the pyramid and its volume.

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