Posted by sara on Monday, May 7, 2012 at 5:48am.
the ratio of the volumes (weight) of two similar figures is proportional to the cube of their sides
so the ratio of sides for the two solids
= cuberoot(1000/64) = 2.5
the ratio of the surface are is proportional to the square of their sides
so
x/340 = 2.5^2 / 1^2
x = 340(6.25) = 2125 square inches
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