M&M’s Mega

mms
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3x the Chocolate?

What a great Calculus activity (hint: rotational volumes).
Cross sections with an exacto:

M&M

mmcrosssection

M&M Mega

megammcrosssection

What shape fits best? Click on image to get directly to the desmos interactive.
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Pretty good fit.
Here’s the data for each type. I used a caliper to measure the dimensions.
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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.
megammwork
Regular M&M volume of 474.8 mm^3.
mmwork

Fun. Great activity for calculus.
Phew, no fox news.

3 thoughts on “M&M’s Mega

  1. 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.

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