The bat will fit in the box if the length of the bat is less than the interior diagonal of the box
Julian's bat will not fit inside the box
From the complete question, the dimension of the box is:
32 in by 6 in by 8 in
Start by calculating the diagonal (d) of the base of the box using the following Pythagoras theorem
[tex]d^2 = 6^2 + 8^2[/tex]
Next, calculate the length of the interior diagonal of the box.
[tex]L = \sqrt{32^2 + d^2\\[/tex]
This gives
[tex]L = \sqrt{32^2 + 6^2 + 8^2}[/tex]
Evaluate
[tex]L = 33.53[/tex]
The length of the bat (34 inches) is greater than the interior diagonal of the box (33.53 inches)
Hence, the bat will not fit inside the box
Read more about interior diagonal at:
https://brainly.com/question/654982