
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
The total surface area of a rectangular solid is $62 \text{cm}^2$, and the total length of all its edges is $48 \text{cm}$. Determine the length in cm of any one of its interior diagonals.
A) $\sqrt{50}$
B) $\sqrt{62}$
C) $\sqrt{82}$
D) $\sqrt{96}$

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