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23 Feb 2017, 20:49
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C
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Difficulty:
65%
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Question Stats:
36% (01:29) correct
64%
(02:11)
wrong
based on 36
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There are 64 big cube-shaped bricks painted with yellow. How many small bricks are required to cover the entire outer surface of the big cube so that the yellow paint does not show at all?
A. 32
B. 64
C. 96
D. 180
E. 216
A. 32
B. 64
C. 96
D. 180
E. 216
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23 Feb 2017, 22:47
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AustinKL
There are 64 big cube-shaped bricks painted with yellow. How many small bricks are required to cover the entire outer surface of the big cube so that the yellow paint does not show at all?
A. 32
B. 64
C. 96
D. 180
E. 216
A. 32
B. 64
C. 96
D. 180
E. 216
64 = 4^3
I.e. currently we have a big cube of dimensions 4*4*4
In order to cover this cube from all directions, we need to place 2 layers in all directions time. 1 layer of new cubes on each face of 6 faces of existing cube.
The existing cube has 16 smaller faces on each face of big cube. So in order to cover the yellow painted cubes, we need 16 new cubes on each face
New cubes added = 16*6 = 96
Answer option C
