, 2022

Define $f(x)$ to be the integer part of $\sqrt[3]{x}$; for example $\sqrt[3]{3.375} = 1.5$ so $f(3.375) = 1$, $\sqrt[3]{9} \approx 2.08$ so $f(9) = 2$, and $\sqrt[3]{27} = 3$ so $f(27) = 3$. Write down the first six positive cube numbers. Hence write down the value of $f(122)$.