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.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )