Yes.
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Change in height and circumference
It does not change. If the numerator changes then, unless the denominator changes in the same proportion, the fraction is no longer the same.
There is no reason for the surface area to remain the same even if the volume is the same.
For the same base dimensions (base area) and the same height, the rectangular prism has more surface area.
Yes. The term "surface area" as normally used for 3-dimensional objects but that does not alter its meaning. The two measures are the same.