After cutting down the cell into half, does it really have the same surface area and volume? I don't think so...

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There are a few videos in the section about similarity (reducing proportionality) and surface area and volume ratios. Check them out here: http://www.brightstorm.com/math/geometry/similarity/similarity-and-area-ratios/ http://www.brightstorm.com/math/geometry/similarity/similarity-and-volume-ratios/ Good luck!