AMC 8 2003 Problem 13

AMC8 2003 年第 13 题

立体几何★★★☆☆
Fourteen white cubes are put together to form the figure on the right. The complete surface of the figure, including the bottom, is painted red. The figure is then separated into individual cubes. How many of the individual cubes have exactly four red faces
14 个白色正方体被放在一起形成右边的图形。图形的整个表面(包括底部)被涂成红色。接着将图形分割为各个正方体。有多少个正方体正好有四个红色的面?
AMC 8 2003 Problem 13 figure
  1. A.4
  2. B.6
  3. C.8
  4. D.10
  5. E.12

正确答案 · Correct Answer

B

解析 · Solution

Solution 1

This is the number cubes that are adjacent to another cube on exactly two sides. The bottom corner cubes are connected on three sides, and the top corner cubes are connected on one. The number we are looking for is the number of middle cubes, which is 6.

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