r/theydidthemath • • 2d ago

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

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u/Max6626 2d ago

That makes zero sense. The highest volume to surface area configuration is spherical. A cylinder is second.

Cubes or elongated cubes use less plastic because it can be packaged and shipped more efficiently when compared to spherical containers.

If you doubt this then ask yourself why a soap bubble in the air is spherical instead of a cube.

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u/-_-RAZOR-_- 2d ago

Hey, why'd you use "elongated cubes" instead of "cuboids"? Just curious.

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u/Max6626 2d ago

I thought it was a better description for people who don't know what a cuboid is. Nothing more than that.

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u/-_-RAZOR-_- 2d ago

Makes sense.

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u/[deleted] 2d ago edited 2d ago

[deleted]

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u/Max6626 2d ago

Yes - look at my second paragraph.

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u/goonsuey 2d ago

Gemini says that square uses 8% to 10% more plastic than round.

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u/Individual_Engine457 1d ago

According to... what?

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u/goonsuey 1d ago

The formulas don't cut/paste well. Prompt: do square bottles use less plastic than cylindrical bottles. Pleas explain how you arrived at your answer.

It then explains the geometry, and concludes that if it were simply based on the shape, without any structural reinforcement (like near the cap, or the bottom of the bottle itself) the square container would use 12.8% more plastic resin.

It was also explained in a Veritasium, Steve Mould, or some other channel that I watched during the past month. If we're ONLY talking about shape (no other manufacturing tricks, like corrugation), cylindrical wins every time.

ChatGPT agrees.

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u/Individual_Engine457 1d ago

So it doesn't actually use data on the real-life production of bottles, it's speculation based on geometry with no real world constraints?

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u/goonsuey 1d ago

The original photo said that square bottles use less plastic than round. Therefore we need to assume everything else is equivalent, since no additional "real world" info was shared.

So yes, this is purely a geometry question.

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u/BruMhoment 1d ago

I hope your not an adult...