If all the vertices of a cuboid are on the same sphere and the lengths of the three edges on one vertex are 1, 2 and 3 respectively, the surface area of the cuboid is 0______ .

If all the vertices of a cuboid are on the same sphere and the lengths of the three edges on one vertex are 1, 2 and 3 respectively, the surface area of the cuboid is 0______ .

The length of the outer diameter of the cuboid is equal to the diagonal length of the cuboid, that is, 2R = 12 + 22 + 32 = 14, from S = 4 π R2 = 14 π