Final answer:
To solve for the side length 's' given the surface area 'A' of a cube, use the equation 's = \(\sqrt{\frac{A}{6}}\)'.
Step-by-step explanation:
Ellie used the formula A = 6s^2 to determine the area of cardboard used for a cube. To solve for the side length (s) of the cube, we need to manipulate the formula. Given that the area A is equivalent to six times the square of the side length, we can find s by dividing the area A by 6 and then taking the square root.
The correct equation to solve for s is s = \(\sqrt{\frac{A}{6}}\), where A is the total surface area of the cube.