Micaela has a bat that is 30 inches long. She wants to fit it in a cube shaped box that has sides that are 17 inches. Will the bat fit? Justify your answer.
No, the bat will not fit. Using the Pythagorean theorem, the length of a diagonal of a face of the box is about 24 inches, and the length of the diagonal of the cube is about 29.4 inches. This is less than the length of the bat.