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Relation Between r and a

A cube painte...

Question

A cube painted yellow on all faces is cut into $27$ small cubes of equal sizes.
How many cubes are not painted on any face?

A

1

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B

4

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C

6

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D

8

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Solution

The correct option is A $1$
The cube which comes from the center of the cube will not be colored on any side.

Hence option is A.

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Q. If all the faces of a cube are painted, and 9 cuts are made on it, such that the cube gets divided into maximum number of identical cubes. How many small cubes will not have any painted faces?

A solid cube has been painted yellow, blue and black on pairs of opposite faces. The cube is then cut into 36 smaller cubes such that 32 cubes are of the same size while 4 others are of bigger sizes. Also no faces of any of the bigger cubes is painted blue.

How many cubes do not have any of their faces painted yellow?

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