Tuesday, January 15, 2019

Single Variable Calculus, Chapter 1, 1.1, Section 1.1, Problem 54

The problem below describes a function. Find its formula and domain.




Express the surface area of a cube as a function of its volume.




The volume of the cube is equal to the product of its length, width and height where all the sides are equal.





Volume =s3;where s is the edge of the cubes=3Volume(Solving for s)





The surface area of the cube is equal to the sum of the areas of each faces of the cube and is equal to...




Surface Area=6s2




Substituting the value of s to the surface area, we get...




Surface Area=6(3Volume)2Surface Area=6(Volume)23

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