
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
If a cube of side length $s$ contains four vertices, $(0,0,0)$, $(s,s,0)$, $(s,0,s)$, and $(0,s,s)$, that form a regular tetrahedron, find the ratio of the surface area of the cube to the surface area of this tetrahedron.
A) $\sqrt{2}$
B) $\sqrt{3}$
C) $\sqrt{\frac{3}{2}}$
D) $\frac{2}{\sqrt{3}}$
E) 2

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