SOLUTION: I need help solving this problem. A 12 by 25 by 36 cm cereal box is lying on the floor on one if its 25 by 36 cm faces. A bug, located at one of the bottom corners of the box, mus

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: I need help solving this problem. A 12 by 25 by 36 cm cereal box is lying on the floor on one if its 25 by 36 cm faces. A bug, located at one of the bottom corners of the box, mus      Log On

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Question 171882: I need help solving this problem. A 12 by 25 by 36 cm cereal box is lying on the floor on one if its 25 by 36 cm faces. A bug, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner. What is the length of the shortest such path?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
use the pathaorean theorem using the highth as one of the legs and the diagonal of the face as the other leg.......the distance your looking for is the hypothenuse. lets call the distance we are looking for D
:
first find the diagonal(C) length of the face . 25%5E2%2B36%5E2=C%5E2
:
C%5E2=1921........C=sqrt%281921%29
12%5E2%2Bsqrt%281921%29=D%5E2
:
highlight%28D=sqrt%282065%29=45.44%29cm