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SnoringFrog
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How to Guess the Number of M&M's in a Jar

I thought this was actually a pretty interesting video, as well as a small solid-state physics lesson. What it works down to is a simple equation for determining the number of any given item in any given container. That equation comes out as follows:
M&M's in a jar equation
 
(massOfContainer)(packingFraction)
(individualVolumeOfItems)
And since in the vid he gives you two of those numbers for M&M's (Ind.Volume is .715mg and packing fraction is 66.5%), you simply plug in the volume of the container and there you go! When you run this equation with the container he used (1150mg), you get an answer of 1069.5804, which rounds up to 1070, as he said, so if you try and get something too much different than that you did something wrong. Now, I need to go find one of these contests to enter...
Edited by SnoringFrog, Jul 28 2009, 09:20 AM.
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