2020 AMC 10B 第 2 题

Question

Carl 有

5

个边长为

1

的立方体，Kate 有

5

个边长为

2

的立方体。这

10

个立方体的总体积是多少？

Carl has

5

cubes each having side length

1,

and Kate has

5

cubes each having side length

2.

What is the total volume of these

10

cubes?

24

25

28

40

45

边长为

s

的立方体体积为

s^3

。

A cube with side length

s

has volume

s^3

分别求 Carl 的立方体和 Kate 的立方体的体积。

Find the volume from Carl’s cubes and Kate’s cubes separately

边长为

s

的立方体体积为

s^3

。Carl 的五个立方体总体积为

5\cdot 1^3=5

，Kate 的五个立方体总体积为

5\cdot 2^3=40

。

总体积为

5+40=45

。

所以正确答案是 E。

A cube with side length

s

has volume

s^3.

Carl’s five cubes have total volume

5\cdot 1^3=5,

and Kate’s five cubes have total volume

5\cdot 2^3=40.

The total volume is

5+40=45.

Thus, the correct answer is E .

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