Question

一个水族箱底面为 $100$ 厘米乘 $40$ 厘米的矩形，高为 $50$ 厘米。水装到 $40$ 厘米高。将一块底面为 $40$ 厘米乘 $20$ 厘米、高为 $10$ 厘米的长方体砖放入水族箱。水面上升多少厘米？

An aquarium has a rectangular base that measures $100$ cm by $40$ cm and has a height of $50$ cm. It is filled with water to a height of $40$ cm. A brick with a rectangular base that measures $40$ cm by $20$ cm and a height of $10$ cm is placed in the aquarium. By how many centimeters does the water rise?

$0.5$

$1$

$1.5$

$2$

$2.5$

答案：D

知识点：体积长方体

难度评级：960

解答：

砖的体积为 $40 \cdot 20 \cdot 10 = 8000$ 立方厘米。

若水面上升 $h$ 厘米，增加的水体积为 $100 \cdot 40 \cdot h = 4000h$ 立方厘米。

令二者相等，得 $4000h = 8000$ ，所以 $h = 2$ 。

所以正确答案是 D。

The brick has volume $40 \cdot 20 \cdot 10 = 8000$ cubic centimeters.

If the water rises by $h$ centimeters, the added volume is $100 \cdot 40 \cdot h = 4000h$ cubic centimeters.

Setting these equal gives $4000h = 8000,$ so $h = 2.$

Thus, the correct answer is D.

2007 AMC 10A 第 3 题

答案：D

难度评级：960

解答：

其他年份的第 3 题