There is two places you can find a good answer. First for some ideas about the subject, you can see Pauls online notes (view subjects) http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
and for explainations about the behind workings see better explained http://betterexplained.com/calculus/lesson-1. And then to learn how to do it, Kahn acadamy, https://www.khanacademy.org/.
Try this. Here is the ratio of a side on a cube to a sphere of equal volumes radius. http://www.wikihow.com/Determine-a-Cube-and-Sphere-of-Equal-Volume
A ratio of 1.6199. So for the the areas of each (found here in a formula) you can find what each value is for surface area and answer this question. http://math2.org/math/geometry/areasvols.htm
Find a value for a, in a cube and value for r in a sphere (surface area formula), which fits the ratio and calculate the area. :D good luck.
Hint,
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Answer: Answer 1 : 1.619 = 2 : 3.238 |