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What is the biggest container you can make with an A4 sheet of paper?
Wiki User
∙ 9y ago
A piece of A4 paper has an area of 1/16 sq m = 0.0625 sq m.
The question is really asking what is the largest volume that can be created with a surface area of 0.0625 sq m = 625 sq cm.
In theory, the largest volume of container with this surface area would be a sphere of radius 1/(8√π) m ≈ 7.05 cm giving a volume of approx 1469 cm^3, a little under 1.5 litres.
However, this would require much cutting of the paper.
The easiest shape to construct with the largest volume is a cube, but even this suffers from being only theoretical as some of the paper would need to be used as "tabs" to stick the sides together, and, again, a simple net would be impossible. In this case, the cube would be of side length √6/24 m ≈ 0.102m = 10.2 cm giving a volume of approx 1063 cm^3 = 1.063 litres.
So practically a container of volume of about 1 litre could be constructed, though in theory a container of volume a little under 1.5 litres could be constructed.
Wiki User
∙ 9y ago
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