The big cube has 6 faces. When it is cut into 27 smaller cubes, each face of the big cube is divided into 9 smaller faces (3 x 3). Thus, there are 6 x 9 = 54 smaller faces in total. Since each smaller cube has 6 faces, there are 27 x 6 = 162 smaller cube faces in total. Now, we need to count the number of smaller cubes that have no face painted.

EMPOWERgmatRichC wrote: Hi Salvetor, I'm going to give you a couple of hints so that you can try this question again: 1) Draw a simple cube. 2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.

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