2012 AMC 12A 第 3 题

Question

一个盒子高

2

厘米、宽

3

厘米、长

5

厘米，可以装

40

克黏土。第二个盒子的高度是第一个的两倍，宽度是第一个的三倍，长度与第一个相同，可以装

n

克黏土。求

n

？

A box

2

centimeters high,

3

centimeters wide, and

5

centimeters long can hold

40

grams of clay. A second box with twice the height, three times the width, and the same length as the first box can hold

n

grams of clay. What is

n?

120

160

200

240

280

容量与体积成正比

The capacity is proportional to the volume

体积被乘以

2 \times 3 \times 1

The volume is multiplied by

2 \times 3 \times 1

第二个盒子的体积是第一个盒子的

2 \times 3 \times 1 = 6

倍，所以它能装的黏土也是

6

倍。

因此

n = 6 \cdot 40 = 240

。

因此，正确答案是 D。

The second box has

2 \times 3 \times 1 = 6

times the volume of the first, so it holds

6

times as much clay.

Therefore

n = 6 \cdot 40 = 240.

Thus, the correct answer is D.

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