A rectangular box has sides of length 2003, 2004, and $2003 \cdot 2004.$  Compute the length of the space diagonal of the box.
Question:
A rectangular box has sides of length 2003, 2004, and $2003 \cdot 2004.$  Compute the length of the space diagonal of the box.
Answer:
Let's think step by step.

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A rectangular box has sides of length 2003, 2004, and $2003 \cdot 2004.$  Compute the length of the space diagonal of the box.
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