Answer: Yes, she could.
Explanation:
To find the answer we first have to find the length of the interior diagonal.
I used Phytagoras' theorem to find the diagonal length of the base of the box. Then to calculate x (hypotenuse), the diagonal length of the box, I again used the Phytagoras' theorem using the length of the base and the height of the box.
I found out that the diagonal interior length of the box is 39.5 in.
Since the baton is 38in and the length of the box is 39.5 in, Kylie can fit the baton inside the box with 1.5 in spare length.