The number of cubes with only one face painted is *
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the larger cube has 6 cm edge and smaller cube is 1 cm edge, hence, if you see one of the faces of the larger cube, you will see 6*6 = 36 cubes. Out of these, exclude the cubes which lie on the edges, as they have two or more faces which are painted. Thus, on each face of the original cube, there will be 4*4 = 16 cubes will have only one face painted.
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