SOLUTION: What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 11 cm wide and 8 cm tall?

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Question 1149564: What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 11 cm wide and 8 cm tall?
Answer by ikleyn(52818) About Me  (Show Source):
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the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 11 cm wide and 8 cm tall


is 3D diagonal from one corner/vertex "at the floor" to the opposite corner/vertex "at the ceiling".


Its length is, applying the Pythagorean theorem in 3D is


    L = sqrt%2814%5E2%2B11%5E2%2B8%5E2%29 = sqrt%28381%29 = 19.519 centimeters.


It is the longest diagonal" in this 3D box (= prism).