2002 AMC 8 第 13 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。

13.

Bert 生日时得到一个盒子,装满时能容纳 125125 颗软糖。几周后,Carrie 得到一个装满软糖的更大盒子。她的盒子的高、宽、长分别是 Bert 盒子的两倍。Carrie 大约得到了多少颗软糖?

For his birthday, Bert gets a box that holds 125125 jellybeans when filled to capacity. A few weeks later, Carrie gets a larger box full of jellybeans. Her box is twice as high, twice as wide and twice as long as Bert's. Approximately, how many jellybeans did Carrie get?

250250

500500

625625

750750

10001000

答案:E
知识点:体积长度、面积与体积的缩放关系
难度评级:1140
解答:

更大的盒子大约能装 125222=1000 125 \cdot 2 \cdot 2 \cdot 2 = 1000 颗软糖。

所以正确答案是 E

The larger box will have approximately 125222=1000 125 \cdot 2 \cdot 2 \cdot 2 = 1000 jellybeans.

Thus, E is the correct answer.

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