
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 3 units, 4 units, and 5 units along its length, width, and height, respectively. Each rectangular face has two diagonals. How many total diagonals does this rectangular prism have, including the longest diagonal of the prism itself?

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