Question

What is The longest line segment that can be drawn in a right rectangular prism that is 13 cm long 12 cm wide and 11 cm tall

Answer 1

13√2

Explanation:

The longest segment that can be drawn is a "diagonal" connecting two opposite "corners" at the top and bottom.This is similar to finding the length of a diagonal of a rectangle using the Pytagoren Theorem. However, this distance is in 3-space and is given by:d =√(152 + 82 + 72) = √338 = √(169 * 2) = 13√2 cm.