
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 all the faces of a rectangular solid is 54 cm², and the total length of all its edges is 40 cm. Determine the length in cm of one of its interior diagonals.
A) \(\sqrt{42}\)
B) \(\sqrt{44}\)
C) \(\sqrt{46}\)
D) \(\sqrt{48}\)
E) \(\sqrt{50}\)

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