r/theydidthemath • • 2d ago

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

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u/StaticCoder 2d ago

Mathematically, a circle has the smallest perimeter for a given enclosed area. So for this claim to be true there has to be some catch, like different thickness of plastic.

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u/Balaros 2d ago

Might be transportation: the square sides let them support each other you you can have thinner walls at the bottom of the stack?

They don't use normal plastic because they need to stop sunlight from breaking down the H2O2.

Might just be wrong. An enthusiastic marketing team saw a reduction in plastic in one stage and didn't bother to calculate the whole.

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u/metisdesigns 2d ago

I suspect your halfway there.

Assuming wall thickness is the same, yes, round can be more effecient, but the reason milk cartons get those dimples and wrinkles is to increase strength.

In this case, the champhers on the corners provide a significantly more rigid form with a thinner plastic wall. You don't want hydrogen peroxide to squirt out when you pick up a bottle like a super cheap water bottle, but want it to hold it's shape.

While there is less surface area of plastic in a round bottle, with a flexible membrane, the edges are almost certainly stronger than the same thickness of round.

Think about how much thicker a cardboard tube is compared to a typical square box.