Each edge of a cube is equally divided into n parts , thus there are total ` n^(3)` smaller cubes . Let ,
`N_0 to ` Number of smaller cubes with no exposed surfaces
`N_1 to` Number of smaller cube with one exposed surface
`N_2` to Number of smaller cube with two exposed surface
`N_3 ` to Number of smaller cubes with three exposed surfaces
What is the value of `N_3 `?

Options

A. `(n-2)^3`
B. `n^3`
C. n!
D. 8

Answer

A