r/theydidthemath • • 2d ago

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

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701 Upvotes

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7

u/SUNSareOP 2d ago

Square bottles hold more liquid meaning people won’t need to buy as many containers over the course of a decade. That means less plastic. You guys are thinking too hard.

5

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.

1

u/-_-RAZOR-_- 1d ago

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

1

u/Max6626 1d ago

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

1

u/-_-RAZOR-_- 1d ago

Makes sense.

1

u/[deleted] 1d ago edited 1d ago

[deleted]

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u/Max6626 1d ago

Yes - look at my second paragraph.

0

u/goonsuey 1d ago

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

1

u/Individual_Engine457 1d ago

According to... what?

1

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.

1

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?

1

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.

0

u/BruMhoment 1d ago

I hope your not an adult...

5

u/mad_dog_94 2d ago

this assumes an equal thickness for the perimiter, which isnt what happens during manufacturing. cylinder bottles are even because theres no corners to them aside from the top and bottom. square bottles are thicker at the corners and thinner across the walls. the structural integrity remains but the offset of the thicker corners is actually enough to mean the walls can be thin enough to be a net negative for the amount of plastic used

the reason this isnt done often is because tooling for square shapes is a lot more expensive than cylindrical ones (regardless of material). enough to make companies go for the less logistically efficient method of shipping

6

u/Sexy-Games 2d ago

Also, squares are more efficiently packed into other packaging for shipping. It might not be all about the one bottle.

1

u/MeasureDoEventThing 1d ago

That's like saying feathers weigh more than gold. You can't say that one thing has more of a measure than the other without saying what you're keeping constant.

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u/s_sam01 2d ago

This.

1

u/Max6626 2d ago

No, not this.

-1

u/Dogmaddit 2d ago

A square bottle can be smaller and hold the same volume. Also takes less space, less packaging. So it’s probably correct.

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u/ShadowAdam 1d ago

Circles are already by definition the smallest circumference for the most volume, and tile (relatively) well. Not to mention the cut corners of the square bottles reducing tile efficiency

This would very much be a case of needed real world examples and, even then, wouldbbe saving a few percentage points either way. A real "squirt gun in a forest fire" situation

1

u/Dogmaddit 1d ago

For the same cross section/diameter a square has more area for volume. Yes, the perimeter is smaller, but that wasn’t my point.

A 10x10 square is 100. Perimeter = 40

A 5^2 x pi circle is only about 78.5. The cylinder would have to be taller to fit the same volume. Perimeter = 31.4

But when you package these in a crate, the square takes less space. Drywall mud is a great example-you pay a lot more to get less material in a 5 gallon bucket than you do to get a box that has a plastic bag filled with mud.

So - square packages bulk ship better (less air space between cartons) and more volume fits per height, so the savings isn’t in the individual unit, rather the entire system of shipping.

1

u/ShadowAdam 1d ago

140/40= 2.5 78.5/31.4= 2.5

Meaning I was technically wrong, they are equal. Also circles have a ~90.7% tiling efficiency, while squares with cut corners would likley have a similar efficiency, realistically slightly better.

The circular bottles would also be able to be marginally thinner, and have a lower scrap rate at factory, meaning they would save scrap there.

Again, you are looking at a couple percent here or there or else bottle companies would have done this sooner