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20-07-2016
Mathematics

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Find a function that models the surface area S of a cube in terms of its volume V.

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meerkat18 meerkat18

20-07-2016

Surface area of the cube is equal to six times the surface area of each face, hence S = 6 s^2. The volume of the cube is equal to the cube of the side since all sides are equal. V = s^3.

S = 6 s^2
V = s^3

S = 6 * (V)^2/3

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