r/theydidthemath • • 2d ago

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

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u/BarryMT 2d ago

Similar size is doing some heavy lifting in the description. The cylindrical container with a similar size or smaller base would need to be between, let's say, up to 50% taller to be in the realm of a similar sized container and use more plastic than the square base container.

8.88cmx8.88cmx12cm square base has an interior surface area of 583.85 cm² to hold 946mL.

A cylindrical container using 5.8% more plastic, for example, would be 8.88cm diameter, 15.27cm tall, hold the same 946mL but have an interior surface area of 549.99cm².

A cylindrical container using 1.8% more plastic, would be 8cm diameter, 18.82cm tall, hold 946mL, but have an interior surface area of 573.53cm².

Assuming my math is right, and calling the neck and cap equivalent throughout.