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A cube is made of a white material, but the exterior is
painted black.
If the cube is cut into 125 smaller cubes of exactly the
same size, how many of the cubes will have
atleast 2 of their sides painted black?
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Answer / roop anand
44 cubes..
there are 8(top most n bottom most 8 corners) cubes which
have 3 sides coated,,
there are 24(top n bottom face)+12(corner) cubes which are
coated on 3 sides
so totally 44 cubes
| Is This Answer Correct ? | 19 Yes | 6 No |
Answer / guest
44
36 of the cubes have EXACTLY 2 of their sides painted black,
but because a cube with 3 of its sides
painted black has 2 of its sides painted black, you must
also include the corner cubes. This was a
trick question, but hopefully the title of the puzzle tipped
you off to this.
| Is This Answer Correct ? | 11 Yes | 5 No |
Answer / mridul
125 cubes means volume is 125...each side has 5*5 cubes...corner points are having 3 painted sides hence 8 corner points....and 40 side points with 2 painted surface...hence 48 cubes
| Is This Answer Correct ? | 2 Yes | 12 No |
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