A solid cube of 4 inches has been painted red, green and
black on the pairs of opposite faces. It has then been cut
into one inch cubes. Following questions relate to the
smaller one inch cubes.
1.How many cubes have only one face painted?
(1) 8 (2) 16
(3) 24 (4) 32
2. How many cubes have only two faces painted?
(1) 0 (2) 16
(3) 24 (4) 32
3. How many cubes have only four faces painted?
(1) 0 (2) 8
(3) 12 (4) 16
4. How many cubes have no faces painted?
(1) 0 (2) 8
(3) 16 (4) 24
How to solve this
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Answer Posted / lalitha
we have a simple formula to find all these
no of cubes unpainted will be (n-2)^3
no of cubes painted one side is 6(n-2)^2
no of cubes painted on two sides 12(n-2)
no of cubes painted three sides is always 8
for a complete cube
n denotes the cube dimension
eg n=4 here(since dimension is 4*4*4)
| Is This Answer Correct ? | 66 Yes | 3 No |
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