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Have you have wondered how many standard sized M&M's would fit in a container? Perhaps you had the luxury of participating in a contest during your youth where the object was to guess the number of M&M's in a container. How did you fair? What approach did you take to figure it out? Well, there are many approaches to solving this problem. However, the most accurate method will likely involve the use of a formula derived from measurements of M&M's and their packing ratio (the percentage of space M&M's take up in a container).
During my research on the subject I found several derived formulae and many experiments completed by grade school students regarding the number of M&M's that will fit in a container. While many valiant efforts were made to solve this problem only a few people seemed to have computed valid results. One difficulty I encountered was simply finding published values on the mass, volume, and packing ratios of these multi-colored candies.
It also seemed that no scientists or organizations had taken credit for any specific formulas on the subject. Given the lack of sound information I decided to investigate this issue for myself. For me, the best approach was to use the average characteristics of an M&M to develop a simple formula to compute the number of M&M's in a container. I also wanted to compare these results to a simple quart container estimate that someone posted on a blog. And finally, I wanted compare both of these methods to an actual experiment of my doing.
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