Answer:
width = 18.97 inches
Explanation:
To find the smallest width of the box to fit the bat, we need to put the bat in the diagonal of the box.
The diagonal of the box is given by:
diagonal^2 = length^2 + width^2 + height^2
Then, using the diagonal = 36 inches, length = 30 inches and height = 6 inches, we have:
36^2 = 30^2 + width^2 + 6^2
1296 = 900 + width^2 + 36
width^2 = 360
width = 18.97 inches