Express the surface area of a cube

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The surface area of a cube can be expressed as a function of its volume by first solving the volume formula V = L^3 for the length of a side, L, which gives L = V^(1/3). Substituting L into the surface area formula A = 6L^2 results in A = 6(V^(1/3))^2. This simplifies to A = 6V^(2/3), effectively expressing the surface area as a function of the volume. The approach involves substituting the derived length back into the surface area equation. This method provides a clear relationship between the cube's surface area and its volume.
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Homework Statement


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


Homework Equations


Cubic Volume=Length x Width x Height (V=Length of side^3)
Cubic Surface Area= (Length of side^2)x6

The Attempt at a Solution


f(V)=(X^3/X) x 6...sorry, I don't know if I'm on the right track, as there are no given examples similar to this in my text.
 
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Maybe solve V=L^3 for L in terms of V and then substitute into A=6*L^2?
 

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