The complete outside including the bottom of a wooden 4 inch cube is painted red. The painted cube is then cut into 1 inch cubes. How many of the 1 inch cubes do not have red on any face?

Question

Mathematics

Carlos Dunn

4 August, 14:37

The complete outside including the bottom of a wooden 4 inch cube is painted red. The painted cube is then cut into 1 inch cubes. How many of the 1 inch cubes do not have red on any face?

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Answers (2)

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Sofia Dalton · Answer 1

8 cubes

Step-by-step explanation:

so since all the cubes on the outside have red on it, we need to subtract 56 (the total number of cubes on the outside) from 64 (the total number of 1 inch cubes that fit in the 4 inch cube) to get 8. or you can just imagine it in your head to see a 2 by 2 by 2 cube and multiply that to get 8

Chase Norton · Answer 2

8

Step-by-step explanation:

Only the innermost 8 1-inch cubes would have no red paint on any face.