What is the longest line segment that can be drawn in a right rectangular prism that is
16
cm long,
13
cm wide, and
8
cm tall?
+23246 A diagonal from one vertex to its opposite vertex (through the middle of the box) can be found by using the
"three-dimensional Pythagorean Theorem":
Distance2 = Height2 + Length2 + Depth2
---> Distance2 = 82 + 162 + 132
---> Distance2 = 489
---> Distance = sqrt(489) cubic cm
