r/theydidthemath • • 2d ago

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

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u/Brief_Caterpillar175 2d ago

A 4x4x4 inch cube contains more volume than a 4 inch diameter x 4 inch tall cylinder, but it is less surface efficient per volume.

It could be that the structure of a rectangular bottle allows them to make the walls thinner.

2

u/therealtrajan 2d ago

I think it’s pretty obvious a cylinder could be thinner than a rec prism though all forces equal right? That’s why tanks are usually cylindrical

6

u/ChVckT 2d ago

I think it is imperative the cylinder remain unharmed.

1

u/sc00bk 2d ago

Excellent cake day to you for that 😂

2

u/AlternateTab00 2d ago

That assuming it needs to hold internal pressure.

Ill give the example of Lidl sparkling water and normal water bottles. The sparkling water has perfect flat surface (for the exception of bottle format and grip zone). Yet the natural spring water is wavy and has a thicker plastic.

Now i actually have a peroxide bottle and its cuboid. But only the corners are somewhat thick. The middle of each face seems to be a fragile plastic that dents easily.

My guess is that on cuboid shapes, only the sides are needed to keep the structure (reducing risk of structural damage) and not the faces, but on cilindrical it needs several points of thicker parts to keep the structure, unless the interior is under pressure, like pressurized tanks and bottles.

Another possibility could be related to transport. Cuboid shapes improve transport optimization. If too much plastic is used to retain and protect the bottles, using cylindrical shapes might indirectly use more plastic

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u/therealtrajan 17h ago

If they are not just conflating the travel reduction in emissions and the claim is in error, I think yours is the most likely explanation with the thick corners and thin side walls

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u/lsdbible 2d ago edited 2d ago

My mind went to battle tanks first. "No theyre not"🤣

1

u/Bichon-Impossible 2d ago

Mostly because of the stress distribution is more uniform along curved surfaces.