The surface area of a cube of dimensions n x n x n is painted and it cut into n cubes of equal length (1 unit), then number of 2 faces painted cubes are :
a) 8(n - 2)
b) 6(n - 2)
c) 12(n − 2)
d) 4(n - 2)
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Answer:
V(Big cube) = 216 × V (small cube)
A
3
=216a
3
(
216
A
)
3
=a
6
A
=a
Let side of Big cube = 6 unit
∴ side of small cube = 1 unit.
∴ zero side printed ⇒(n−2)
3
=(6−2)
2
=4
3
=64
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