
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 has a square base where each side measures 8 cm. Its peak is 15 cm vertically above the center of its base. Calculate the sum of the lengths of the pyramid's edges and also find the volume of the pyramid.

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