C is the correct answer because 0 is a cube and square number but it's cube is not a natural number because it will also be 0 so a natural number is a perfect cube only of a natural number

A perfect cube is a number that can be expressed as the cube of a natural number.

To understand the answer, let's break it down into the following headings:

1. Definition of a perfect cube
A perfect cube is a number that is the cube of a natural number. In other words, it is the result of multiplying a natural number by itself twice. For example, 8 is a perfect cube because it can be expressed as 2 × 2 × 2.

2. Cube numbers
A cube number is a number that can be expressed as the cube of an integer. The cube of a number is obtained by multiplying the number by itself twice. For example, 2 × 2 × 2 = 8, so 8 is a cube number.

3. Square numbers
A square number is a number that can be expressed as the square of an integer. The square of a number is obtained by multiplying the number by itself. For example, 2 × 2 = 4, so 4 is a square number. However, not all square numbers are perfect cubes. For example, 4 is a square number but not a perfect cube.

4. Natural numbers
Natural numbers are the counting numbers starting from 1. They include all positive integers, but not zero or negative numbers. For example, 1, 2, 3, 4, 5, etc., are natural numbers.

5. Explanation of the correct answer (Option C)
The correct answer is option C - a natural number. This is because a perfect cube is defined as a number that can be expressed as the cube of a natural number. In other words, if we take the cube root of a perfect cube, the result will be a natural number. For example, the cube root of 8 is 2, which is a natural number.

6. Explanation of incorrect options
- Option A (cube number) is incorrect because not all cube numbers are perfect cubes. Some cube numbers, such as 4, are not perfect cubes.
- Option B (square numbers) is incorrect because not all square numbers are perfect cubes. Some square numbers, such as 4, are not perfect cubes.
- Option D (none of these) is incorrect because the correct answer is option C, as explained above.

In conclusion, a natural number is said to be a perfect cube because it can be expressed as the cube of a natural number. This distinction is important as it differentiates perfect cubes from cube numbers and square numbers.