
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 a vertex where the lengths of the three edges are 6, 8, and 10, respectively, and all of its vertices lie on the same spherical surface. Find the surface area of this sphere.

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