how to Use a standard A4 paper to form a largest volume block ?
Printable View
how to Use a standard A4 paper to form a largest volume block ?
You mean the block X so that X has an A4 paper as its surface, and has the maximum volume?
The area of a sheet of A4 paper is 2-4 m2 = 0.0625 m2.
To get the maximum volume you use a cube (a sphere would be better, but that is not a 'block').
The six sides will each have area A=0.0625/6 m2.
The sides are the square roots of that, s=sqrt(A)≈0.0104.
The volume is s3≈0.00106 m3.
Of course, whether you can actually fold a sheet of paper this way is a different matter, but by (possibly infinite) cutting and pasting it is possible.
From working in typesetting, I can assure you that an A4 sheet of paper is precisely 0.21 m by 0.297 m = 0.06237 m2. Not that it makes a huge difference here...
Weren't those cube templates always something similar to this:
(Assuming you had to cut it out, and weren't allowed to paste)
forgive the crude drawing..Code:_
| |
_
| |
_
| | | |
| |
_
lol
basically a line of four squares, with two more equal sized squares coming off the line..