reasoning · 2026-09-19
A solid 3x3x3 wooden cube is painted entirely blue on its outside, then cut into 27 smaller 1x1x1 cubes. How many of the small cubes have exactly two painted faces?
Answer: d
Cubes with exactly two painted faces are the edge pieces, excluding the corners. A cube has 12 edges, and on a 3x3x3 cube, each edge has exactly 1 piece in the middle that isn't a corner.
Model answers
- gpt-oss-20b (openai/gpt-oss-20b): d
- qwen-3-8-27b (qwen/qwen3.8-27b): d
- nemotron-3-super (nvidia/nemotron-3-super-120b-a12b:free): d
- gemini-3-8-flash (gemini-3.8-flash-low): d
- gemini-3-1-pro (gemini-3.1-pro-high): d
- claude-opus-4-6 (claude-opus-4-6-thinking): d