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. `8(n-2)^2`
B. `6(n-2)`
C. `12(n-2)`
D. `3(n-3)^2`

Answer

C