Answer:
Yes, the rod can fit in the box
Step-by-step explanation:
First we have to convert the given size in inches to centimeters
1 inch = 2.54 centimeters
Length of the box = 6 × 2.54 = 15.24 cm
Width of the box = 8 × 2.54 = 20.32 cm
Height of the box = 24 × 2.54 = 60.96 cm
The longest diagonal in the box is the line between one of the top corners to the opposite bottom corner.
Calculate the length of the longest diagonal in the box:
\(\sqrt{(20.32^{2}+60.96^{2} ) }\)
= \(\sqrt{4129.024}\)
= 64.257 cm.
Therefore, a cylindrical rod with the length of 63.5 centimeters can fit in the box.
