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35 votes
35 votes
What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm long,

11 cm wide, and 7 cm tall?

User Jose Armesto
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1 Answer

8 votes
8 votes
Assuming you want to find the length of the longest line segment, you would have to first determine where the longest line segment is.

If you can't do this straight away, then it'd be good to draw a diagram as I shown below, to visualise.

From there, you apply pythagora's theorem to the dimensions of the rectangular prism to find the length of the longest line segment.

I have attached the solution in a photo, including some explanation. Hope it helps :)
What is the longest line segment that can be drawn in a right rectangular prism that-example-1
User Ean V
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2.4k points