All the faces of a cuboid arc 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

A

$$13 \times 9 \times 15$$

B

$$9 \times 5 \times 11$$

C

$$77 \times 91 \times 143$$

D

$$26 \times 18 \times 30$$