Question

Question No. 7 of 10
1 Marks
A large cube is painted on all six faces and then cut into a certain number of smaller but identical
cubes it was found that among the smaller cubes, there were 27 cubes which had no face paint at all.
How many small cubes have exactly one face painted​

Answer 1

Answer:

162 faces

Explanation:

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Answer 2

Explanation:

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. As there are 6 such faces, the number of such smaller cubes will be 16× 6 = 96.

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