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44) All faces of a cube with an 8 meter edge are painted red. If the cube is cut into smaller cubes with a 2 meter edge, how many of the 2 meter cubes have paint on exactly 1 face?
a) 24
b) 36
c) 60
d) 48
Read Solution (Total 6)
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- 24. Because every face has 4 one face colored cubes on its center. So for 6 face 4x 6= 24 one face colored
- 10 years agoHelpfull: Yes(1) No(0)
- 24 as there will be 4 cubes on each face which will be colored as red..and there are 6 faces in all.
so 6*4=24
- 11 years agoHelpfull: Yes(0) No(1)
- removing the 2facing and 3faacing cubes on eah face there will be 24 cubes
- 10 years agoHelpfull: Yes(0) No(0)
- 4cubes on each face so,for all the six faces 6*4=24...
- 10 years agoHelpfull: Yes(0) No(0)
- 24..
explanation-
divide the box in 4 rows..each row having 16 boxes of edge 2m... now 1st and 4th row are same..similarly,2nd and 3rd row are same..now in 1st row,only 4 boxes have one side coloured,in 2nd row 8 boxes...since 2nd and 3rd are same ,1st and 4th too..so 4th row also has 4 boxes of 1 colour, similarly 3rd row has 8boxes...total comes out 24.. - 9 years agoHelpfull: Yes(0) No(0)
- Big cube volume=8*8*8
each small cube volume=2*2*2
No of small cubes=(8*8*8)/(2*2*2)=64
stack size is then 4*4*4 cubes of 2 m edge.
On each side 4 face in centre is coloured one sided.
So total no is=6*4= 24 cubes
N.B.- also know that total 4*2=8 nos of cubes are colourless
- 9 years agoHelpfull: Yes(0) No(0)
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