A painted wooden cube whose edge is 3 inches is cut into 27 one-inch cubes. How many of these small cubes have just two painted sides?

Question

A painted wooden cube whose edge is 3 inches is cut into 27 one-inch cubes. How many of these small cubes have just two painted sides?
a.12
b.18
c.9
d.none of the above

Reiny · Accepted Answer

Only the middle piece of the 6 edges have two sides painted, the corners have 3 sides painted
Make yourself a rough sketch to see that.
So there would be 6, but that is not one of the given choices, so, none of the above

R_scott · Answer

edges of the original cube , but not the corners looks like a dozen

R_scott · Answer

umm ... a cube has 12 edges ... and 6 faces

Reiny · Answer

Duhh, R_scott, you are right, and I even told them to make a sketch.