Answer:
4.08 inches.
Step-by-step explanation:
A cube has six sides, and each of the sides has area of [tex]a^2[/tex], where [tex]a[/tex] is the length of the edge of the cube.
Thus the total surface area of the cube is
[tex]A=6a^2.[/tex]
Now we are told that this surface area is 100 square inches, therefore [tex]A=100[/tex], and now we can solve for [tex]a[/tex]:
[tex]a=\sqrt{\frac{A}{6}} = \sqrt{\frac{100}{6}}=\boxed{4.08\: inches.}[/tex]
