Physics Question from JEE Main 2025 · 7 April, Shift 2

The electric field in a region is given by $\vec{E} = (2\hat{i} + 4\hat{j} + 6\hat{k}) \times 10^3 \, \text{N/C}$. The flux of the field through a rectangular surface parallel to x-z plane is $6.0 \, \text{N m}^2\text{C}^{-1}$. The area of the surface is _____ $\text{cm}^2$.