
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]


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Given eight cubes with volumes \(1, 8, 27, 64, 125, 216, 343,\) and \(512\) cubic units, and each cube having its volume decreasing upwards, determine the overall external surface area of this arrangement.

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