
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 rectangular solid has dimensions of length, width, and height as 2, 2, and 1, respectively. If its vertices lie on the same spherical surface, calculate the surface area of the sphere.

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