Observe that only the small cubes at the corner of the large cube will have exactly three faces which are colored. The number of such cubes = Number of corners of the large cube = 8
If a small cube has no colored face, it must be from inside of the large cubes. Those cubes will also form a cube inside the large cube with each side a length of 2 inches. Thus number of such small cubes = 2*2*2 = 8
Thus two quantities are equal.
Cube
This topic has expert replies
Source: Beat The GMAT — Problem Solving |
GMAT/MBA Expert
-
Rahul@gurome
- GMAT Instructor
- Posts: 1179
- Joined: Sun Apr 11, 2010 9:07 pm
- Location: Milpitas, CA
- Thanked: 447 times
- Followed by:88 members
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Thanks Rahul, I was reviewing this problem and what I did for the 2nd column is count the ones in the middle (4 *2 for up and down) = 8
since the side was originally 4, it would have 4 cubes with side 1 on each side with 4 clustered in the middle..am I right?
since the side was originally 4, it would have 4 cubes with side 1 on each side with 4 clustered in the middle..am I right?
