A cube of side 3 units is formed using a set of smaller cubes of side 1 unit Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible GATE EC 2015

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## A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible.-GATE EC 2015

(A) 1 : 4 (B) 1 : 3 (C) 1 : 2 (D) 2 : 3

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Number of faces per cube = 6
Total number of cubes = 9×3 = 27
∴Total number of faces = 27×6 = 162
∴Total number of non visible faces = 162-54 = 108
54/108=1/2

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