a box used for shipping a volleyball set measures 10 inches by 20 inches by 40 inches. what is the longest length of support pole that will fit into the box, rounded to a tenth of an inch?

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