The given sheet of scrapbook
can be folded in the shape of a cuboid with a square
base of side 3 cms or in the shape of a cylinder with
circumference 12cms and height 12 cms. Both the figures are shown in the figure
above.
The volume of the cuboid will be 3x3x12 = 108 cm3
The volume of the cylinder
will be πr2h = π (12)
=
= 137.56
Which shows that volume will
be maximum of the cylindrical shape, however the surface area will remain
equal.
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