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You are not logged in. #1 20060224 11:25:53
Number of spheres within a cube.What is the maximum number of 1" spheres that will fit completely within a 24" cube? #2 20060224 12:53:25
Re: Number of spheres within a cube.1" diameter or radius? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #3 20060224 13:02:46
Re: Number of spheres within a cube.Sorry if I was not clear Ricky. The 1" is the diameter of the spheres. No tricks or gimmicks, this is just a generic geometry puzzle. Last edited by irspow (20060224 13:52:52) #4 20060224 13:11:51
Re: Number of spheres within a cube.This looks like a chemistry problem! It's tricky. I'll have to look at it...later... El que pega primero pega dos veces. #5 20060224 16:37:21
Re: Number of spheres within a cube.Oh no  packing! "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #6 20060225 07:25:51
Re: Number of spheres within a cube.I'll give you guys a break, the slack isn't enough to change the answer for a slightly smaller cube. I just picked a 24" cube because it was a nice integer value. No computer program is necessary either. Like I said before, this is just a plain geometry problem. I'll give it another day before posting the solution if no one gets it first. #7 20060226 03:10:21
Re: Number of spheres within a cube.Here goes the solutions, I will hide them for those who wish to solve them on their own. The "bonus" is easier. 