A cube painted red on two adjecent faces and black on the faces opposite to the red faces and green on the remaining faces is cut into sixty-four smaller cubes of equal size.How many cubes are there which have no face painted?  Choose the correct answer:	A) 8	B) 9	C) 10	D) 11	E) 12
If a painted cube is cut into 64 (4^3) smaller cubes then there will be   i. smaller cubes with three face painted (cubes at the corner)= 8   ii.smaller cubes with two face painted (cubes at the edges)= (4-2)*12= 
<gadget id="calculator">(4-2)*12</gadget>
<output>24</output>
24   iii.smaller cubes with one face painted (cubes at the faces)= ((4-2)^2)*6=24   iv.smaller cubes not painted = 64-(8+24+24)= 
<gadget id="calculator">64-(8+24+24)</gadget>
<output>8</output>
8   8NSWER:8
<result>A</result>
A cube painted red on two adjecent faces and black on the faces opposite to the red faces and green on the remaining faces is cut into sixty-four smaller cubes of equal size.How many cubes are there which have no face painted?