SOLUTION: Pls which shape has its total surface area greater than its volume,is it cube,cubiod,sphere,cylinder or none of the above?

Question 927576: Pls which shape has its total surface area greater than its volume,is it cube,cubiod,sphere,cylinder or none of the above?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
the answer is cube, for example
consider the ratio(r) of surface area(S) to Volume(V)
r = S / V
As the size of the cube increases (without changing shape), this ratio decreases. Mathematically, that tells us that the denominator (volume) increases faster relative to the numerator (surface area) as object size increases. When the side of the cube is 6, S and V have equal values, and so the surface area to volume ratio is equal to one. But when the side of the cube is < 6, S > V.

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