A cube has sides of length \( L \). It is placed with one corner at the origin (refer to figure)...

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A cube has sides of length \( L \). It is placed with one corner at the origin (refer to figure). The electric field is uniform and given by \( \vec{E}=-B i+C_{j} j-D k \), where \( B, C \), and \( D \) are positive constants. The total flux passing through the cube is
(1) \( (B+C+D) L^{2} \)
(2) \( 2(B+C+D) L^{2} \)
(3) \( 6(B+C+D) L^{2} \)
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