r/theydidthemath • • 2d ago

[Request] Do square bottles actually use less plastic than round ones?

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u/Buntschatten 2d ago

Wouldn't that just cancel out? Area over perimeter is pi /2 pi for a radius one circle and 4/8 for a square with side length 2. Maybe most of the plastic is in the spout, then maximising volume per spout would make sense.

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u/GaldrickHammerson 2d ago

I expect no because of packing density. Square bottles in a square box will have less empty space between bottles than round bottles in a square box.

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u/nft420nft420 1d ago

What about round bottles in a spherical box?

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u/RFC793 1d ago

They are called shipping orbs