
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 prism has dimensions where the length is twice the height, and the width is half of the length. If the height is 12 inches, find the length of the diagonal connecting two opposite vertices (from corner to corner) of the prism. Express your answer in simplest radical form.

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