A cubical Gaussian surface \(30 \mathrm{~mm}\) on each side is centered on a particle that carries a charge of \(+3.0 \mu \mathrm{C}\).

(a) If you draw a field line diagram with four field lines per microcoulomb, how many lines pass through the Gaussian surface? In which direction are these lines?

(b) Ignoring corners and edges, how many field lines pass through each face of the Gaussian surface?

(c) What is the electric flux through the Gaussian surface?

(d) What is the electric flux through one face?

(e) Which of your answers change if the particle is moved \(10 \mathrm{~mm}\) away from the center of the Gaussian surface? (You don't need to obtain new values for the answers that change, if any.)