
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 rectangular base where the length measures 12 cm and the width measures 8 cm. Its peak is 15 cm directly above the center of its base. Calculate the sum of the lengths of the pyramid's eight edges and also find the volume of the pyramid.

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