# Re: could you repeat, Mr K....

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Posted by Subhotosh Khan on October 16, 2002 at 12:02:39:

In Reply to: could you repeat, Mr K.... posted by Jim on October 16, 2002 at 10:16:13:

: : : There is a box 6 feet long, 1 foot wide and
: : : 3 feet high. A bug starts off inside the box at
: : : the middle of the top edge furthest from you. He
: : : goes to the right corner at the bottom closest to you
: : : without flying or falling. He takes the shortest path.

: : : What distance does he walk?
: : ***********************************
: : 1) Open the box flat and draw the flattened box in a grid. Locate the corners and edges on a flat plane.

: : 2)Locate the bug on the grid.

: : 3)Locate the corner the bug needs to approach.

: : 4) Join 3) and 4) with a straight line.

: Do you mean join 2 and 3? YES
: Where does the ceiling go when box is opened?
: Is it not possible that he uses the ceiling?
: Your way seems to mean sqrt(9^2+.5)^2, or 9.0139, which is too high I think
: : 2)Locate the

****************************************
A***********X*************B
*.........................*
*.......E**************************F
*.......*.................*........*
*.......*.................*........*
*.......*.................*........*
D.......*...X'............C........*
------..*..........................*
--------H..........................G
This is my very poor attempt at drawing the box.
Suppose the Bottom face of the box is CGHD - top face is ABFE - right face is BFGC and left face is AEHD.

The bug starts from 'X' and comes to G.

xx' = 3
x'c = 3
cg = 1

Toatl travel = sqrt [3^2 +(3+1)^2] = 5

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