
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 rectangular box has a volume of 5184 cubic inches and a surface area of 1944 square inches. The sum of the lengths of its 12 edges totals 216 inches. Calculate the volume of the box if its length, width, and height were each increased by two inches.

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