Two of the holes go all the way through this cube, and the third goes only halfway through. How many faces does the whole thing have?
- 22
- 23
- 24
- 25
- 26
| First, there are 6 faces of the original cube: | 6 faces |
We move inside and assume (safely) that the hole from the top (a “chimney”) is the one that goes halfway through. The floor of the space inside looks like this: |
1 face |
| Four short holes burrow into the center. Each has two side walls and a ceiling. That’s 4×3: | 12 faces |
| And the chimney has 4 faces: | 4 faces |
| 23 total | |
| The answer is (b). | |