
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 $3000$ cubic inches and a surface area of $1380$ square inches. The sum of the lengths of its $12$ edges is $160$ inches. What would be the volume of the box, in cubic inches, 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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