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 number of smaller cubes with one exposed surface `(N_1)` ?

Options

A. A)`4(n-3)^(3) `
B. B)`6(n-2)^(2) `
C. C)`(n-3)^(2) `
D. D)`(n+1)^(2) `

Answer

B