In this case, "X:X is a perfect cube" suggests that \(X\) is a number that is a perfect cube. A perfect cube is a number that can be expressed as \(a^3\), where \(a\) is an integer. This implies that \(X = a^3\) for some integer \(a\).

For example:
- \(8\) is a perfect cube because \(2^3 = 8\),
- \(27\) is a perfect cube because \(3^3 = 27\),
- \(64\) is a perfect cube because \(4^3 = 64\), and so on.

Do you want more details on perfect cubes or examples of how to find them?

Here are some questions to deepen understanding:
1. What are the properties of perfect cubes?
2. How do you check if a given number is a perfect cube?
3. Can perfect cubes be negative numbers? Why?
4. How does the concept of a perfect cube extend to higher dimensions (e.g., algebra)?
5. Can non-integer numbers have perfect cubes?

**Tip:** The cube root of a perfect cube is always an integer. This makes it easy to identify perfect cubes!

Explore the concept of perfect cubes with the example 'X:X is a perfect cube.' Learn how a number can be expressed as the cube of an integer and how to identify perfect cubes like 8, 27, and 64. This problem covers number theory and exponents, ideal for students in Grades 6-8.

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