a cube is dipped in a tank of red paint up to half its height. It is then reversed and dipped in green paint upto half its height. Then the top and the bottom faces of the cube are painted with blue and yellow respectively. This cube is cut into 27 small identical cubes. How many cubes have at least one colour on them?
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Step-by-step explanation:
HEY MATE ....
When the painted cube is cute into 125 small equal cubes,
we have:
A 3 faces painted cube on every corner
⇒Number of cubes with 3 face painted=1×8=8.
Three 2-faces painted cube on every edge
⇒Number of cubes with 2 face painted=3×12=36.
Nine single face painted cube on side
⇒Number of cubes with 1 face painted=9×6=54
∴ Number of cubes with no face painted=125−8−36−54=27
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