Question

which number is a perfect cube? 24 27 33 36

Explanation:

Step1: Recall perfect cube definition

A perfect cube is a number \( n \) such that \( n = a^3 \) where \( a \) is an integer.

Step2: Check each number

• For 24: Try integers. \( 2^3 = 8 \), \( 3^3 = 27 \), so 24 is not a perfect cube.
• For 27: \( 3^3 = 27 \), so 27 is a perfect cube.
• For 33: Not a cube ( \( 3^3 = 27 \), \( 4^3 = 64 \) ), so 33 is not.
• For 36: Not a cube ( \( 3^3 = 27 \), \( 4^3 = 64 \) ), so 36 is not.

Answer:

27 (the option with 27)