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Question

How many perfect cubes you can find from 1 to 100? How many from −100 to 100?

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Solution

13 = 1

23 = 8

33 = 27

43 = 64

Thus, there are 4 cubes from 1 to 100.

Now, 03 = 0

(−1)3 = −1

(−2)3 = −8

(−3)3 = −27

(−4)3 = −64

Hence, there are 9 cubes from −100 to 100.


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