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A solid $6$-by-$6$-by-$6$ cube is constructed from unit cubes and the entire outer surface is painted. What fraction of the unit cubes has at least two painted faces? Express your answer as a common fraction.

 Jul 12, 2022
 #1
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8 cubes will have paint on 3 faces

 

4 * 4 * 3 =  48  will have paint on two  faces

 

 [ 8 + 48 ]  /   6^3    = 

 

56  /  216   =

 

7 / 27

 

cool cool cool

 Jul 12, 2022

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