Sheet # 182 Critical Thinking

Name: _____________________ Date_____________

The larger cube below is formed by 27 smaller cubes. Suppose all of the six faces of the large cube are painted red and then the cube is taken apart.

**1) How many faces does each small cube have?
2) How many of the small cubes would have no faces painted red?
3) How many would have one face painted?
4) How many would have two faces painted?
5) How many would have three faces painted?
6) How many would have four faces painted?
7) How many would have five faces painted?
8) How many would have six faces painted?
**Answers for sheet # 182

1) How many faces does each small cube have?

Answer: 6 faces

2) How many of the small cubes would have no faces painted red?

Answer: 1 cube. It is in the 2nd layer

3) How many would have one face painted?

Answer: 6 cubes.

4) How many would have two faces painted?

Answers: 4 + 4 + 4 = 12 cubes

5) How many would have three faces painted?

Answers: 4 + 4 = 8 cubes

6) How many would have four faces painted?

Answer: 0

7) How many would have five faces painted?

Answer: 0

8) How many would have six faces painted?

Answer: 0