
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 box \(Q\) is inscribed in a sphere of radius \(s\). The surface area of \(Q\) is 216, and the sum of the lengths of its 12 edges is 72. Determine the radius \(s\) of the sphere.

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