$8.$Use the equation ${\displaystyle \underset{a}{\overset{b}{}}}{x}^{2}dx=\frac{b^3}{3}-\frac{a^3}{3}$ to evaluate ${\displaystyle \underset{0}{\overset{\sqrt[3]{3}}{}}}{x}^{2}dx$

${\displaystyle \underset{0}{\overset{\sqrt[3]{3}}{}}}{x}^{2}dx=q,($Type an integer or a simplified fraction.$)$