A cube with a side of 3 inches is painted green and then sliced into s

Question

A cube with a side of 3 inches is painted green and then sliced into smaller cubes with 1 inch sides. How many of the smaller cubes have exactly three painted sides? 
A) 4
b) 6
C) 8
D) 10 
E) 12

Bunuel · Answer

munzuto · Answer

Hi,

Visualise the question by thinking of a rubiks cube(you can scale it up for questions with bigger dimensions)
3 faces will be painted only on the edge pieces ie 8 ie  C

GyMrAT · Answer

The corner cubes will have 3 faces, when the larger cube is sliced into smaller faces.

The larger cube has 8 corners, hence 8 cubes will have 3 faces painted.

Answer C.

Thanks,
GyM

ScottTargetTestPrep · Answer

Solution:
 
The only smaller cubes that have exactly 3 painted sides (or faces) are those that were originally at each corner of the bigger cube. Since a cube has 8 corners, there are 8 smaller cubes that have exactly 3 painted sides (or faces).

Answer: C

A cube with a side of 3 inches is painted green and then sliced into s

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A cube with a side of 3 inches is painted green and then sliced into s

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