Answer:
2 cm 
Explanation:
The volume of a cube can be found using the following formula: 
V=s^3 
where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V. 
8 cm^3=s^3
We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3. 
(8 cm^3)^1/3=(s^3)^1/3 
(8 cm^3)^1/3=s 
2 cm=s 
The length of one side is 2 centimeters.