
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 4 units, 3 units, and 5 units. It has twelve edges and eight vertices. A segment, such as $x$, which joins two vertices not joined by an edge is considered a diagonal. How many diagonals does this rectangular prism have, including face diagonals and space diagonals?

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