
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
Given six rectangles each have a common base width of $3$ and lengths are the cubes of the first six natural numbers: $1^3, 2^3, 3^3, 4^3, 5^3$, and $6^3$. Compute the sum of the areas of these six rectangles.

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