Answer:
4.08 inches.
Explanation:
A cube has six sides, and each of the sides has area of
, where
is the length of the edge of the cube.
Thus the total surface area of the cube is
![A=6a^2.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/bim4y64xvgda716h9lamzmwv3p3c5hd4t7.png)
Now we are told that this surface area is 100 square inches, therefore
, and now we can solve for
:
![a=\sqrt{(A)/(6)} = \sqrt{(100)/(6)}=\boxed{4.08\: inches.}](https://img.qammunity.org/2019/formulas/mathematics/middle-school/pzz6iii4hy2e2sstp2u4y6mdnet3fs0n0r.png)