
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 cube has a side length of 2 units. Four non-coplanar vertices of the cube are chosen as the vertices of a regular tetrahedron. The vertices are chosen such that they lie on the cube's longest diagonal. Find the ratio of the surface area of the cube to the surface area of the tetrahedron.
A) \(\frac{2\sqrt{3}}{3}\)
B) \(\sqrt{3}\)
C) 2
D) \(\sqrt{2}\)

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