AMC 8 2002 Problem 13

AMC8 2002 年第 13 题

立体几何★★★☆☆

For his birthday, Bert gets a box that holds 125 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?

Bert 的生日礼物是一个装满 125 颗果冻豆的盒子。几周后，Carrie 得到了一个更大的装满果冻豆的盒子。她的箱子是 Bert 的两倍高、两倍宽、两倍长。那么 Carrie 大概得到了多少颗果冻豆？

A.250
B.500
C.625
D.750
E.1000

正确答案 · Correct Answer

解析 · Solution

Solution 1

Since the volume ratio is equal to the sides ratio cubed, then the ratio of the larger box's volume to the smaller one is 2 cubed.

2^3=8

Now multiply 125 (the number of jellybeans that Bert's box can hold) by 8.

8\cdot125= \text{(E)1000}

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