Physics Question from JEE Main 2025 · 8 April, Shift 2

An infinitely long wire has uniform linear charge density $\lambda = 2 \, nC/m$. The net flux through a Gaussian cube of side length $\sqrt{3} \, cm$, if the wire passes through any two corners of the cube, that are maximally displaced from each other, would be $x \, Nm^2 C^{-1}$, where $x$ is:

[Neglect any edge effects and use $\frac{1}{4 \pi \epsilon_0} = 9 \times 10^9$ SI units]