2006 AMC 8 第 21 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。
21.
一个水族箱的长方形底面为 cm 乘 cm，高 cm。水族箱中水深 cm。随后放入一个体积为 的石头并完全浸没。水位上升多少厘米？
An aquarium has a rectangular base that measures cm by cm and has a height of cm. The aquarium is filled with water to a depth of cm. A rock with volume is then placed in the aquarium and completely submerged. By how many centimeters does the water level rise?
小提示：
完全浸没的物体会排开等于自身体积的水。
A submerged object raises the water by its own volume.
大提示：
用石头体积除以水族箱底面积。
Divide the rock’s volume by the base area of the aquarium.
解答：
水族箱底面积为 。
完全浸没的石头排开 的水，所以水位上升 cm。
所以正确答案是 A。
The base area of the aquarium is .
The submerged rock displaces of water, so the water level rises by cm.
Thus, A is the correct answer.
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