Answer:
45.8 inches
Step-by-step explanation:
Considering the given dimensions and taking 40 inches for length, 20 inches for height and 10 inches for width. The diagonal that runs from bottom to top of box will give the longest possible length of a pole.
Diagonal at the bottom of box
Diagonal=√(l²+w²)
Where l and w represent length and width respectively
Diagonal=√(40²+10²)=√1700
Diagonal between the height and bottom diagonal
Longest diagonal=√(20²+√1700)=√2100=45.8257569495584
Rounded off, the diagonal is approximately 45.8 inches