Question

Mr. Woo wants to ship a fishing rod to his son that is 42 inches long. He has a box that measures 10 inches by 10 inches by 40 inches. Will the fishing rod fit in the box?

Answer 1

The 42 inches long fishing rod will fit in the box.

Explanation:

The diagonal of a cuboidal box is the largest measurement inside the box.

Now, the dimensions of the box are 10 inches by 10 inches by 40 inches.

Therefore, the diagonal length of the box is
`\sqrt{10^(2) + 10^(2) + 40^(2)} = 42.42` inches which is greater than 42 inches.

Hence, the 42 inches long fishing rod will fit in the box. (Answer)