Abox has a length of 6 inches, a width of 8 inches, and a height of 24 inches. can a cylindrical rod with the length of 63.5 centimeters fit in the box?

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:

=

= 64.257 cm.

Therefore, a cylindrical rod with the length of 63.5 centimeters can fit in the box.

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step-by-step explanation:

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