Question

A box has a length of 6 inches, a width of 8 inches, and a height of 24 inches. Can a cylinder rod with a length of 63.5 centimeters fit in the box?

Answer 1

Yes.

Explanation:

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:

The diagonal of the base = √(6^2 + 8^2)

= √100 = 10 inches.

The longest diagonal = √( 24^2 + 10^2)

= √676

= 26 inches

= 26 * 2.54

= 66.04 cms.

Therefore the cylinder (length 63.5 cms) rod can fit in the box.