Question

Isabella 用一英尺见方的立方块搭建一个长方体堡垒，长 $12$ 英尺、宽 $10$ 英尺、高 $5$ 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 $12$ feet long, $10$ feet wide, and $5$ feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?

$204$

$280$

$320$

$340$

$600$

答案：B

知识点：体积长方体

难度评级：1480

视频讲解：

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文字解答：

外表面确定的长方体体积为 $12\cdot10\cdot5=600$ 立方英尺。内部空心部分在长上少 $2$ 英尺、宽上少 $2$ 英尺、高上少 $1$ 英尺，所以尺寸为 $10\times8\times4$ 。

空心体积为 $10\cdot8\cdot4=320$ 立方英尺，所以堡垒含有 $600-320=280$ 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 $12\cdot10\cdot5=600$ cubic feet. The empty inside is smaller by $2$ feet in length, $2$ feet in width, and $1$ foot in height, so its dimensions are $10\times8\times4$ .

The empty volume is $10\cdot8\cdot4=320$ cubic feet, so the fort contains $600-320=280$ one-foot cubical blocks.

Thus, B is the correct answer.

2013 AMC 8 第 18 题

答案：B

难度评级：1480

视频讲解：

文字解答：

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