
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 truncated pyramid has a lower square base measuring 12 cm on each side and an upper square base that is parallel to the lower base, measuring 6 cm on each side. The height from the center of the lower base to the top of the truncated pyramid is 15 cm. What is the sum of the lengths of all the edges of the truncated pyramid?

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