Question
Which number is a perfect cube?
21
49
343
600
21
49
343
600
Answers
GPT-4o mini
A perfect cube is a number that can be expressed as the cube of an integer. Let's check each of the given numbers:
- \( 21 \) is not a perfect cube (since \( 2^3 = 8 \) and \( 3^3 = 27 \)).
- \( 49 \) is not a perfect cube (since \( 3^3 = 27 \) and \( 4^3 = 64 \)).
- \( 343 \) is a perfect cube because \( 7^3 = 343 \).
- \( 600 \) is not a perfect cube (since \( 8^3 = 512 \) and \( 9^3 = 729 \)).
Therefore, the number that is a perfect cube is **343**.
- \( 21 \) is not a perfect cube (since \( 2^3 = 8 \) and \( 3^3 = 27 \)).
- \( 49 \) is not a perfect cube (since \( 3^3 = 27 \) and \( 4^3 = 64 \)).
- \( 343 \) is a perfect cube because \( 7^3 = 343 \).
- \( 600 \) is not a perfect cube (since \( 8^3 = 512 \) and \( 9^3 = 729 \)).
Therefore, the number that is a perfect cube is **343**.