A cube has edge length $x$. The surface area of the cube is 1014 . What is the value of $x$ ?

##
A cube with edge length $x$ has six square faces with area $x^{2}$, so its surface area is $6 x^{2}$. This means $6 x^{2}=1014$ so $x^{2}=169$.

Since $x$ is an edge length, it is positive, so $x=\sqrt{169}=13$.