AMC 8 2026 Problem 15

AMC8 2026 年第 15

立体几何★★★☆☆
Elijah has a large collection of identical wooden cubes which are white on 4 faces and gray on 2 faces that share an edge. He glues some cubes together face-to-face. The figure below shows 2 cubes being glued together, leaving 3 gray faces visible. What is the fewest number of cubes that he could glue together to ensure that no gray faces are visible, no matter how he rotates the figure?
有很多相同的木制小立方体,每个立方体有 4 个白色面和 2 个灰色面,且这两个灰色面共享一条棱。他将一些立方体面对面粘在一起。下图展示了两个立方体粘合后,露出 3 个灰色面的情形。他至少需要粘合多少个小立方体,才能确保无论怎样旋转整个图形,都看不到任何灰色面?
AMC 8 2026 Problem 15 figure
  1. A.4
  2. B.6
  3. C.8
  4. D.9
  5. E.27

正确答案 · Correct Answer

A

解析 · Solution

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