"'M&M's Mega' To Have Three Times More Chocolate." Oh brother here we go again. http://t.co/zrBE5tZ3Al /cc @dandersod

— Dan Meyer (@ddmeyer) May 16, 2014

## 3x the Chocolate?

What a great Calculus activity (hint: rotational volumes).

Cross sections with an exacto:

### M&M

### M&M Mega

What shape fits best? Click on image to get directly to the desmos interactive.

Pretty good fit.

Here’s the data for each type. I used a caliper to measure the dimensions.

To account for the candy shell you can measure pixels in an image manipulation program. If you’d like to follow along at home, the M&M Mega has a thickness of 404 pixels, and the chocolate only (no shell) has a thickness of 333 pixels. The regular M&M has a thickness of 251 pixels, and a chocolate thickness of 210 pixels.

You have enough information to do some damage, go ahead and see if the M&M’s Mega truly have **3x** the chocolate of the regular M&M’s.

## Results

M&M Mega volume of 1,423 mm^3.

Regular M&M volume of 474.8 mm^3.

Fun. Great activity for calculus.

*Phew, no fox news.*

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Calculus not really necessary as a prolate spheroid is a squashed sphere with volume ratio equal to “squashing” ratio. most easily seen by considering parallel projections.

Fantastic! I had no idea. Thats a great check to see if the calc approach is any good. Thanks!