The entire exterior of a large wooden cube is painted red, and then the cube is sliced into n^3 smaller cubes (where n > 2). each of the smaller cubes is identical. in terms of n, how many of these smaller cubes have been painted red on at least one of their faces?
a. 6n^2
b. 6n^2 – 12n + 8
c. 6n^2 – 16n + 24
d. 4n^2
e. 24n – 24

B.

Step-by-step explanation:

Given,

The number of smaller cubes =

So, the number of cubes that have no coloured faces.  = ,

Note : If a cube painted outside having side n is split into n³ cubes, then the volume volume that is not painted = (n-2)³

Thus, the remaining cubes that have been painted red on at least one of their faces

= Total cubes - cubes with no painted face

Hence, OPTION B is correct.

what is

step-by-step explanation: