Distance Between Opposite Corners of a BoxDate: 05/09/2002 at 16:26:31 From: Shemla Subject: Word problem Dr. Math, I am having a hard time solving this math problem. Can you please help me? A moth is sitting in the lower left front corner of a storage shed. The shed's interior wall dimensions are 8 ft. by 12 ft. by 9 ft. What is the distance, in feet, of the shortest path that the moth can fly to the upper right back corner of the shed? Date: 05/10/2002 at 08:34:59 From: Doctor Ian Subject: Re: Word problem Hi Shemla, Let's look at a cube, in which each side has length 1: D +--------+ / /| / / | +--------+ | | | + C | | / | |/ +--------+ A B I can use the Pythagorean theorem to find the distance from A to C: AC^2 = AB^2 + BC^2 AC = sqrt(AB^2 + BC^2) = sqrt(1^2 + 1^2) = sqrt(2) Now I can do the same thing to find the distance from A to D: AD^2 = AC^2 + CD^2 AD = sqrt(AC^2 + CD^2) = sqrt( sqrt(2)^2 + 1^1) = sqrt(2 + 1) = sqrt(3) Can you use the same idea to find the distance between opposite corners of the shed? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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