
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 with a total surface area of 112 square inches has the sum of the lengths of all its edges equal to 60 inches, calculate the sum of the lengths in inches of all of its interior diagonals.

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