Cube of side 12 cm is painted red on all the faces and then cut into smaller cubes, each of side 3 cm. What is the total number of smaller cubes having none of their faces painted?
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Answer:
smaller cubes = 12x12x12/3x3x3
= 64 nos.
n = 3 v64=4
No. of cubes having none of their
faces Painted =(n-2)^3
= (4-2)^3=2^3=8. Ans
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