SOLUTION: A suitcase measures 24 inches long, 18 inches high, and 12 inches deep. What is the longest stick you could place in the suitcase to the nearest tenth of a foot?

Algebra ->  Pythagorean-theorem -> SOLUTION: A suitcase measures 24 inches long, 18 inches high, and 12 inches deep. What is the longest stick you could place in the suitcase to the nearest tenth of a foot?      Log On


   



Question 984686: A suitcase measures 24 inches long, 18 inches high, and 12 inches deep. What is the longest stick you could place in the suitcase to the nearest tenth of a foot?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the Pythagorean Theorem to find the diagonal of a rectangle with sides of 24 inches and 18 inches. Then use Pythagoras again to find the diagonal of a rectangle that is 12 inches by the answer to your first computation. Now you have the length of the stick in inches, so long as the stick is not too thick. Do not round the answer yet. Divide by 12. Now round to the nearest 10th.

John

My calculator said it, I believe it, that settles it