Question

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

I did this and got A=6V^(2/3)
That is the formula I got for the described function. However, I also need to find its domain... how do I do this?

Answer 1

Here you have
A(V)=6V^(2/3)
where A is the surface area function and the independent variable is V.
The domain is what values can V take, mathematically and logically.
Mathematically, it is possible to calculate V^(2/3) for V∈ℝ.
Logically, V represents the volume of a solid, which cannot take up negative values.
Can you now suggest the domain of V?

Answer 2

So the domain would be all real numbers greater than or equal to 0?

Answer 3

Correct.