How many perfect cubes are there from 1 to 500? How many are perfect squares among these cubes?

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Solution

1³= 1

2³ = 8

3³ = 27

4³ = 64 = 8²

5³ = 125

6³ = 216

7³ = 343

8³ = 512

Thus, there are 7 perfect cubes from 1 to 500 and 64 is the only perfect square.

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