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A solid 4cm cube of wood is coated with red paint on all the six sides. Then the cube is cut into smaller 1cm cubes. How many of these 1cm cubes have no colour on any side?
  • a)
    8
  • b)
    12
  • c)
    16
  • d)
    24
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A solid 4cm cube of wood is coated with red paint on all the six sides...
Number of cubes with 3 faces red = 8
Number of cubes with 2 faces red = 24
Number of cubes with 1 face red = 24
Number of cubes with no face red = 64-(24+24+8) = 8
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Most Upvoted Answer
A solid 4cm cube of wood is coated with red paint on all the six sides...
Draw a cube in 3d and draw lines to help imagine. total cubes will be 4×4×4=64 16 cubes on front 16 cubes on backwards 4 cubes between each sides except front and back at center. means 4×4(remaining sides)=16 cubes then 4 side corners (except front and back),2 cubes per side at center. means 4×2=8 and remaining cubes= 64-16-16-8=8
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A solid 4cm cube of wood is coated with red paint on all the six sides. Then the cube is cut into smaller 1cm cubes. How many of these 1cm cubes have no colour on any side?a)8b)12c)16d)24Correct answer is option 'A'. Can you explain this answer?
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