Let a curve y=y(x) pass through the point (3,3) and the area of the region under this curve, above the x -axis and between the abscissae 3 and x(>3)…

Let a curve $\displaystyle y=y(x)$ pass through the point $\displaystyle (3,3)$ and the area of the region under this curve, above the $\displaystyle x$-axis and between the abscissae $\displaystyle 3$ and $\displaystyle x(>3)$ be $\displaystyle \left(\frac{y}{x}\right)^3$. If this curve also passes through the point $\displaystyle (\alpha, 6 \sqrt{10})$ in the first quadrant, then $\displaystyle \alpha$ is equal to \_\_\_\_.