# Geometry Puzzle – Challenge 61

You need to use your logic and critical thinking skills to solve the following visual and interactive mathematical challenge.

## Challenge:

A solid cube of side 9 is first painted pink and then cut into smaller cubes of side 3. How many of the smaller cubes have paint on exactly 2 sides?

**A-** 6

**B-** 8

**C-** 10

**D-** 12

**E-** 16

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The correct answer is D.

Drawing a diagram can help you find the number of small cubes that have paint on exactly 2 sides. When the larger cube is cut into smaller cubes, the cubes in the middle of the faces will have paint on only one side and the corner cubes will have paint on three sides. The cubes cut from the edges will have paint on two sides. Since there are 12 edges, there will be 12 cubes with paint on two sides.

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