
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 cube is $54\text{cm}^2$ and the total length of all its edges is $36\text{cm}$. Determine the length in cm of any one of its interior diagonals.
A) $3\sqrt{2} \text{ cm}$
B) $3\sqrt{3} \text{ cm}$
C) $4\sqrt{2} \text{ cm}$
D) $5\text{ cm}$
E) $6\text{ cm}$

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