1997 AMC 8 第 21 题
先试着解答 1997 AMC 8 第 21 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1997 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
21.
从这个 的立方体中去掉每个角上的小立方体。剩余图形的表面积是
Each corner cube is removed from this cube. The surface area of the remaining figure is
小提示：
总表面积保持不变
The total surface area stays the same
大提示：
去掉一个角会失去三个面，同时露出三个新面
Removing a corner loses three faces and reveals three faces
解答：
任意两个角立方体之间都有一个单位立方体隔开，所以去掉一个角不会影响其他角。
去掉一个角时，失去三个单位正方形表面，但也露出三个新的单位正方形表面。
因此去掉角立方体不改变表面积。原立方体表面积为 平方厘米。
所以正确答案是 D。
Note that there is one unit cube between any pair of corner cubes, so the removal of each does not affect the others.
When we remove a corner, we are losing three unit squares. We, however, gain these back from the three faces that get uncovered.
This means that removing a corner cube does not change the surface area. The surface area of the original cube is square centimeters.
Thus, D is the correct answer.
其他年份的第 21 题
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