Solution:
The volume of a cube is given by the following formula:
[tex]V=a^3[/tex]
where a is the side length. Then, if V = 8/63, we have that:
[tex]\frac{8}{64}=a^3[/tex]
Solving for a, we get:
[tex](\frac{8}{64})^{\frac{1}{3}}\text{ = a}[/tex]
this is equivalent to say:
[tex]a\text{ = }\frac{1}{2}=\text{ 0.5}[/tex]
then, we can conclude that the side length is:
[tex]a\text{ = 0.5}[/tex]
