solving inequalities involving cubic centimeters

Question

a cube has a volume of greater than 125cm3 (cubed).  What are the possible lengths of the side of the cube?

Answer 1

(125)^(1/3)=5 (the cube root of 125 is 5; 5³=5*5*5=125)

since the volume of the cube is greater than 125 cm³, the lengths of the sides of the cube must be greater than 5

some possible side lengths would be 5.1, 5.5, 6, 7, 8.76 and so on