Question

一个两英寸的银立方体 $(2\times 2\times 2)$ 重 $3$ 磅，价值 $\$ 200$ 。一个三英寸的银立方体价值多少？

A two-inch cube $(2\times 2\times 2)$ of silver weighs $3$ pounds and is worth $\$ 200.$ How much is a three-inch cube of silver worth?

$\$300$

$\$375$

$\$450$

$\$560$

$\$675$

答案：E

知识点：体积长度、面积与体积的缩放关系

难度评级：1380

解答：

两英寸立方体由 $2^3 = 8$ 个单位立方体组成。每个单位立方体价值美元。三英寸立方体需要 $3^3 = 27$ 个单位立方体，所以价值美元。 $200 \div 8 = 25$ $25 \cdot 27 = 675$

所以正确答案是 E。

The two-inch cube consists of $2^3 = 8$ unit cubes. Each of these unit cubes is worth $200 \div 8 = 25$ dollars. To form a three-inch cube, you need $3^3 = 27$ unit cubes. This means that it is worth $25 \cdot 27 = 675$ dollars.

Thus, E is the correct answer.

1997 AMC 8 第 22 题

答案：E

难度评级：1380

解答：

其他年份的第 22 题