(Use the Pythagorean relationship to help construct the answer.)

Question

A delivery service will not accept a package for shipping if any dimension exceeds 28 inches. An archaeologist wants to ship a 34 inch femur bone. Will the bone fit in a box 5 inches tall that has a 28 inch square base?

Answer 1

The longest dimension inside the box consists of a diagonal across the base and the height of the box.

Diagonal: d² = 2(28²)

d = √1568

d = 39.6

The bone will lie flat on the bottom of the box.

Answer: Yes