SOLUTION: A rectangle is 7m long, 3m wide and 2.5m high.what is the length of the longest diaginal from one corner to another corner of the room?

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Question 841650: A rectangle is 7m long, 3m wide and 2.5m high.what is the length of the longest diaginal from one corner to another corner of the room?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
This page: http://pacificlearningacademy.com/2012/03/the-3d-pythagorean-theorem/ explains how the 3D version of the pythagorean theorem is derived.

d+=+sqrt%28a%5E2+%2B+b%5E2+%2B+c%5E2%29

d+=+sqrt%287%5E2+%2B+3%5E2+%2B+2.5%5E2%29

d+=+sqrt%2849+%2B+9+%2B+6.25%29

d+=+sqrt%2864.25%29

d+=+8.0156097709407 (this is approximate)

The length of the longest diagonal from one corner to another corner is roughly 8.0156097709407 meters