The value of $\sqrt[3]{0.008}$ is approximately equal to $0.2$.
To see this, we can use the fact that $\sqrt[3]{x}$ is the number that, when cubed, gives $x$. In other words, $\sqrt[3]{x} = y$ if and only if $y^3 = x$.
If we cube 0.2, we get $0.008$, which is equal to the given value. Therefore, $\sqrt[3]{0.008} = 0.2$.