SOLUTION: a cube of 3 units is painted on all sides.If this cube is divided into cubes of 1 unit,how many cube
have none of their faces painted?
(a)...
(b)2
(c)1
(d)0
(e)none of thes
Algebra ->
Bodies-in-space
-> SOLUTION: a cube of 3 units is painted on all sides.If this cube is divided into cubes of 1 unit,how many cube
have none of their faces painted?
(a)...
(b)2
(c)1
(d)0
(e)none of thes
Log On
Question 2038: a cube of 3 units is painted on all sides.If this cube is divided into cubes of 1 unit,how many cube
have none of their faces painted?
(a)...
(b)2
(c)1
(d)0
(e)none of these Answer by khwang(438) (Show Source):
You can put this solution on YOUR website! There are 3^3 = 27 small cubes if unit 1(^3).
There 3 levels: top,middle and the bottom level..
We see that the center cube of the middle level (9 cubes)is not painted.
So, the answer is (c)1.
Try to figure out the diagram of the 27 cubes.
(