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 / arun
24
16
00
08
is the Correct answer.
Total 4x4x4=64cubes
1face in a 4x4 side single face is 4nos so total 6sides 24nos
2face in total 6side 8nos of 2sided edges;1edge 2 faced paint then 8x2 16nos
3face in total vertices or top edges are 8only so 3faces are 8nos
4face is not possible after the 64 nos split-ed
0face is the centre part apart from 1x4 of a side & from 6sides so in 4sides 4x4x2side+2x4x2side+top 4+bottom 4=56nos painted so 64-56=8nos in centre not painted.
Answer
1face=24
2face=16
3face=16
4face=00
0face=08
Total64
OK
| Is This Answer Correct ? | 2 Yes | 0 No |
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