1959 AMC 12 第 1 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
1.
一个立方体的每条棱都增加 。其表面积增加的百分数为：
Each edge of a cube is increased by The percent of increase of the surface area of the cube is:
答案：B
小提示：
比较新棱长与原棱长
Compare the new edge length with the old edge length
大提示：
表面积按线性缩放倍数的平方变化
Surface area changes by the square of the linear scale factor
解答：
若原棱长为 ，则新棱长为 。因此表面积变为原来的 倍。增加量是原表面积的 倍，即 。
因此，正确答案是 B。
If the original edge length is the new edge length is Thus the surface area is multiplied by The increase is times the original area, or
Thus, the correct answer is B.
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