
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 1 unit. A regular octahedron is formed by joining the midpoints of the edges of the cube. Find the ratio of the surface area of the cube to the surface area of the octahedron.
A) $\sqrt{2}$
B) $\sqrt{3}$
C) $\frac{2}{\sqrt{3}}$
D) 2
E) $\sqrt{\frac{3}{2}}$

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