Question
Which number is NOT a perfect cube number?
81
216
64
1
81
216
64
1
Answers
GPT-4o mini
To determine which of the numbers is NOT a perfect cube, we can check whether each number can be expressed as \( n^3 \) for some integer \( n \).
1. **81**:
- \( 4^3 = 64 \)
- \( 5^3 = 125 \)
- The cube numbers between 4 and 5 do not include 81, so it's not a perfect cube.
2. **216**:
- \( 6^3 = 216 \)
- So, 216 is a perfect cube.
3. **64**:
- \( 4^3 = 64 \)
- So, 64 is a perfect cube.
4. **1**:
- \( 1^3 = 1 \)
- So, 1 is a perfect cube.
From this analysis, the number that is NOT a perfect cube is **81**.
1. **81**:
- \( 4^3 = 64 \)
- \( 5^3 = 125 \)
- The cube numbers between 4 and 5 do not include 81, so it's not a perfect cube.
2. **216**:
- \( 6^3 = 216 \)
- So, 216 is a perfect cube.
3. **64**:
- \( 4^3 = 64 \)
- So, 64 is a perfect cube.
4. **1**:
- \( 1^3 = 1 \)
- So, 1 is a perfect cube.
From this analysis, the number that is NOT a perfect cube is **81**.