2006 AMC 8 第 18 题
先试着解答 2006 AMC 8 第 18 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 2006 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。
18.
一个棱长为 英寸的立方体由 个棱长为 英寸的小立方体组成。其中十九个小立方体是白色，八个是黑色。如果八个黑色小立方体放在大立方体的八个角上，那么大立方体表面积中白色部分占几分之几？
A cube with -inch edges is made using cubes with -inch edges. Nineteen of the smaller cubes are white and eight are black. If the eight black cubes are placed at the corners of the larger cube, what fraction of the surface area of the larger cube is white?
小提示：
看大立方体的一个面。
Look at one face of the large cube.
大提示：
每个面有四个来自黑色角立方体的单位正方形，还有五个其他单位正方形。
Each face has four corner unit squares from black corner cubes and five other unit squares.
解答：
因为每个面的黑白表面积比例相同，只需分析一个面的白色比例。
一个面上有 个单位正方形，其中 个是黑色。因此每个面有 是白色。
所以正确答案是 D。
Since each face has the same black and white surface area, we can analyze what fraction of one side is white.
On one side, there are unit squares. of them are black. This means that of each face is white.
Thus, D is the correct answer.
其他年份的第 18 题
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