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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?

 Apr 15, 2020
 #1
avatar+21004 
+1

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

 Apr 15, 2020
 #2
avatar+23689 
+1

Agree ....except final units will be  cm   

ElectricPavlov  Apr 15, 2020

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