All the faces of a cuboid are painted. It is cut by planes parallel to its faces to form unit cubes. If the number of cubes having all unpainted faces is 1001, then the dimensions of the cuboid are

1
13 × 9 × 15
2
9 × 5 × 11
3
77 × 91 × 143
4
26 × 18 × 30

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