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How do you make sheet of metal square of side length 24 cm to hold one liter of water when folded?
Wiki User
∙ 13y ago
From each corner of the metal square, cut out a 4cm*4cm square (and discard).
Fold each of the four flanges (4 cm wide) up through 90 degrees.
If the joints can be made water-tight, you will have a box whose bottom is 16 cm*16 cm and whose depth is 4 cm. This gives a total volume of 1024 cm3 or 1.024 litres.
A couple of qualifications to the answer (only for those who are interested):
Instead of cutting off 4cm*4cm squares, you could cut off square of any size from 3.4cm*3.4cm to 4.7cm*4.7cm. The answer given above is the maximum volume you can get and it is also an integer number.
Cutting off kite shapes from the corners will enable you to fold into a parallelopiped - a trough-like shape with a square cross-section that increases in size as you go up. I have not calculated the maximum volume for such a shape nor the optimum shape and size of the cuts.
increase the capacity further
Wiki User
∙ 13y ago
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