WILL MARK BRAINLIEST IF CORRECT ANSWER1

Kylie needs to pack her baton for a color-guard competition. The baton is 38 inches long. Will it fit in a rectangular box with a base of 13 inches by 35 inches and height of 13 inches?

Part A
Could the baton lie flat on a diagonal along the base of the box?
A. Yes, because the diagonal is 48 inches long.
B. Yes, because the diagonal is 41.4 inches long.
C. No, because the diagonal is 37.3 inches long.
D. No, because the diagonal is 18.4 inches long.
I think C. but need help, is it right? How so?
Part B
Could the baton fit along the interior diagonal of the box? Explain.