SOLUTION: Your answer for the question "A wooden cube whose edges are 4 inches is painted green.The cube is then cut into 64 one-inch cubes. How many small cubes have exactly 1 green face? "

Question 382148: Your answer for the question "A wooden cube whose edges are 4 inches is painted green.The cube is then cut into 64 one-inch cubes. How many small cubes have exactly 1 green face? ", i did not understand that. How you used different equations for different number of small cubes sides painted? For example you use 6*(n-2)^2 for exactly one side painted and so on? what is the logic of using those equations?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
You use 6*(n-2)^2 because we want to count the number of cubes that are in the "middle" of each face (i.e. all of the cubes not on an edge or vertex) which would be (x-2)^2 for a sufficiently large n. There are 6 faces, so we multiply by 6.
RELATED QUESTIONS
A wooden cube whose edges are 4 inches is painted green.The cube is then cut into 64... (answered by galactus)

A cube has an angle length of 4 inches. The cube is painted red all over and then cut... (answered by Alan3354)

A cube has an edge length of 4 inches. The cube is painted red all over and then cut... (answered by ikleyn)

A cube measuring 4 inches on a side is painted. It is then cut into 64 one-inch cubes.... (answered by checkley77)

A cube has an edge of 3 inches. The surface of the cube is painted black, then cut into... (answered by ankor@dixie-net.com)

if a cube of length 16 cm is painted on all faces in blue then cut up into 2cm cube ,... (answered by greenestamps)

A cube measuring 6cm a side is painted red, and then cut up into 216 smaller cubes each... (answered by ikleyn)

In a probability experiment a painted cube is rolled once. One side of the cube is... (answered by stanbon)

a wooden cube has edges 3 meters in length. square holes with sides one meter in length... (answered by Fombitz)