Question 3
Given $x=\lfloor1^{1/3}\rfloor+\lfloor2^{1/3}\rfloor+\cdots+\lfloor7999^{1/3}\rfloor$, find $\lfloor x/100\rfloor$. Here $\lfloor y\rfloor$ denotes the greatest integer not exceeding $y$; for example, $\lfloor2.1\rfloor=2$, $\lfloor30\rfloor=30$, $\lfloor-10.5\rfloor=-11$.