2008 AMC 8 第 16 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。
16.
如图，七个单位立方体拼成一个立体图形。体积的立方单位数与表面积的平方单位数之比是多少？
A shape is created by joining seven unit cubes, as shown. What is the ratio of the volume in cubic units to the surface area in square units?
小提示：
体积就是单位立方体的个数
The volume is just the number of unit cubes.
大提示：
计算表面积时，外侧的六个立方体各有 个外露面
For surface area, each of the six outer cubes has exposed faces.
解答：
这个立体由 个单位立方体组成，所以体积是 立方单位。
中央立方体没有外露面。六个外侧立方体各有 个外露面，所以表面积为 平方单位。
体积与表面积之比为 。
所以正确答案是 D。
The shape uses unit cubes, so its volume is cubic units.
The center cube has no exposed faces. Each of the six outer cubes has exposed faces, for a total surface area of square units.
The ratio of volume to surface area is .
Thus, D is the correct answer.
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