a cube's volume is length * hight * width
since it is a cube, length hight width are all the same.
so we can use variable x to represent it.
x*x*x
which is
[tex] { x}^{3} [/tex]
so
[tex] {x}^{3} = 1000[/tex]
cube root both sides
[tex]x = \sqrt[3]{1000} = 10[/tex]
length of its side is 10