
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 sum of the lengths of all the edges of a square pyramid (a pyramid with a square base) is 40 cm. Find the number of cubic centimeters in the volume of the pyramid given that all edges are of equal length.

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