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The six faces of a cube are painted black. The cube is then cut into $5^3 = 125$ smaller cubes, all the same size. How many of the smaller cubes do not have any black faces?

 Jul 9, 2021
 #1
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There are (5 - 1)^3 = 64 cubes that do not hav any black faces.

 Jul 9, 2021
 #2
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Incorrect

Guest Jul 9, 2021
 #3
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(5-2)^3  =  3^3   = 27   do not have  any paint on them

 

 

cool cool cool

 Jul 9, 2021

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