The volume of a cube is [tex]V=s^{3}[/tex], such that s is the length of any side. You are given that the volume of the carton is 1000 cubic inches, because each 1 by 1 by 1 cube has a volume of one cubic inch. If you put your given v into the equation, you get [tex]1000=s^{3} [/tex]. If you take the cube root of both sides, you get that s=10 because 10^3=1000