A cube is painted In orange colour on all sides and cut into 1728 smaller but Identical pleces by making the minimum possible number of cuts.
How many smaller pleces have exactly one face painted

Options

A. 605
B. 600
C. 726
D. 500

Answer

B

Explanation

Let n be the number of pieces along direction `1728=12xx12xx12`
`:.n=12`.
the pleaces with one face painted will be at centre of each face
`:. The `number of pieces with one face painted `=6(n-2)^(2)=6(12-2)^(2)=800`