Question
which number is a perfect cube 9, 12, 24, 27?
Answers
GPT-4o mini
A perfect cube is a number that can be expressed as the cube of an integer. Let's evaluate the numbers you provided:
- **9**: \(2^3 = 8\) and \(3^3 = 27\), so 9 is not a perfect cube.
- **12**: It can be factored as \(2^2 \times 3\), and no integer cubed gives 12, so it is not a perfect cube.
- **24**: It can be factored as \(2^3 \times 3\), but no integer cubed gives 24, so it is not a perfect cube.
- **27**: This is \(3^3\), meaning it is \(3 \times 3 \times 3\).
Thus, the only perfect cube in the list is **27**.
- **9**: \(2^3 = 8\) and \(3^3 = 27\), so 9 is not a perfect cube.
- **12**: It can be factored as \(2^2 \times 3\), and no integer cubed gives 12, so it is not a perfect cube.
- **24**: It can be factored as \(2^3 \times 3\), but no integer cubed gives 24, so it is not a perfect cube.
- **27**: This is \(3^3\), meaning it is \(3 \times 3 \times 3\).
Thus, the only perfect cube in the list is **27**.