if i cube which is painted white on top and red on other 5 sides is cut into 27 identical small cubes how many of smaller cubes have just one side minted rate and other side unpainted
a)9 b)5 c) 3 d)1
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0
Answer:
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Answered by
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Answer:
a
Step-by-step explanation:
The answer is option A
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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