AMC 8 1990 Problem 18

AMC8 1990 年第 18 题

立体几何★★★☆☆
Each corner of a rectangular prism is cut off. Two (of the eight) cuts are shown. How many edges does the new figure have?
一个长方体每个角都被切掉了。显示了八个切口中的两个。新图形有多少条棱?
  1. A.24
  2. B.30
  3. C.36
  4. D.42
  5. E.48

正确答案 · Correct Answer

C

解析 · Solution

Solution 1

The new figure retains the middle part of each of the 12 edges of the cube and gains 3 new edges from each cut. Therefore, the new figure has 12+3⋅8=3612 + 3 \cdot 8 = 36 edges.

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