Question

which number is a perfect cube? 9 12 24 27

Explanation:

Step1: Recall the definition of a perfect cube

A perfect cube is a number that can be expressed as \( n^3 \), where \( n \) is an integer.

Step2: Check each number

• For \( 9 \): We need to find an integer \( n \) such that \( n^3 = 9 \). Let's test integers: \( 1^3=1 \), \( 2^3 = 8 \), \( 3^3=27 \). So \( 9 \) is not a perfect cube.
• For \( 12 \): Testing integers, \( 2^3 = 8 \), \( 3^3=27 \). \( 12 \) is not a perfect cube.
• For \( 24 \): \( 2^3 = 8 \), \( 3^3=27 \). \( 24 \) is not a perfect cube.
• For \( 27 \): We know that \( 3^3=3\times3\times3 = 27 \). So \( 27 \) is a perfect cube.

Answer:

27 (or the option corresponding to 27 in the given choices, e.g., if the options are labeled as, say, A. 9, B. 12, C. 24, D. 27, then the answer is D. 27)