Charge Enclosed by Rectangular Conductor

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I would like to determine the charge enclosed in an infinitely long solid rectangular conductor using Maxwells Equations.

Here's what I've gotten, but I don't know if its correct.

$\int_C\ E•dA = Q(enc)/ε_0$

$ E = Q(enc)/[2•(LW+LH+WH)•ε_0]$

where: L = length, W = width, H = height

Is this accurate?