High School

Which of the following numbers is NOT a cube number?

i) 10000

ii) 3125

iii) 64

iv) 729​

Answer :

Final Answer:

The number that is NOT a cube number among the options is 10000.

Explanation:

A cube number is a number that can be expressed as the cube of an integer, i.e., a number raised to the power of 3. Let's analyze each option to determine which one is not a cube number.

i) 10000 - This is not a cube number. The cube root of 10000 is approximately 21.54, which is not an integer.

ii) 3125 - This is a cube number. The cube root of 3125 is 5.

iii) 64 - This is a cube number. The cube root of 64 is 4.

iv) 729 - This is a cube number. The cube root of 729 is 9.

Based on the above analysis, the number 10000 is NOT a cube number. It cannot be expressed as the cube of any integer.

In conclusion, among the given options, the number that is not a cube number is 10000. The other options, 3125, 64, and 729, are cube numbers as they can be expressed as the cube of integers.

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