Mechanical Engineering > GATE 2022 SET-2 > Integrals
Consider a cube of unit edge length and sides parallel to coordinate axes, with its centroid at the point (1, 2, 3). The surface integral ∫A 𝑭⃗ ⋅𝑑𝑨⃗ of a vector field 𝑭⃗ = 3xi + 5yj + 6zk over the entire surface A of the cube is ______.
A
14
B
27
C
28
D
31

Correct : c

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