
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
Five cubes, whose volumes are $1$, $8$, $27$, $64$, and $125$ cubic units, are stacked one on top of the other to form a vertical tower. The bottom face of each cube, from the second to the topmost, perfectly aligns with the top face of the cube directly below it. Determine the total surface area of the tower including the bottom.
A) $276$
B) $284$
C) $300$
D) $325$

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