2013 AMC 8 第 18 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。
18.
伊莎贝拉用一英尺见方的立方块搭建一个长方体堡垒，长 英尺、宽 英尺、高 英尺。地板和四面墙都厚一英尺。这个堡垒包含多少块立方块？
Isabella uses one-foot cubical blocks to build a rectangular fort that is feet long, feet wide, and feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
小提示：
从外部长方体体积中减去内部空心体积
Subtract the empty inside volume from the outside rectangular prism.
大提示：
内部尺寸在长和宽上各减少二英尺，在高上减少一英尺
The inside dimensions are reduced by two feet in length/width and one foot in height.
视频讲解：
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文字解答：
外表面确定的长方体体积为 立方英尺。内部空心部分在长上少 英尺、宽上少 英尺、高上少 英尺，所以尺寸为 。
空心体积为 立方英尺，所以堡垒含有 个一英尺见方的立方块。
所以正确答案是 B。
The rectangular prism determined by the outside faces has volume cubic feet. The empty inside is smaller by feet in length, feet in width, and foot in height, so its dimensions are .
The empty volume is cubic feet, so the fort contains one-foot cubical blocks.
Thus, B is the correct answer.
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