Cube of an even number is odd. State whether the statement is true or false.

Solution:

Given, the Cube of an even number is odd.

We have to determine if the given statement is true or false.

Number obtained when a number is multiplied by itself three times is called a cube number.

If m = n³, then m is a perfect cube where m and n are natural numbers.

Example: consider an even number

Let the number be 6

Cube of 6 = (6)³

= 6 × 6 × 6

= 36 × 6

= 216

Similarly, 4³ = 64

Therefore, the cube of an even number is even.

✦ Try This: Square of an even number is odd. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

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NCERT Exemplar Class 8 Maths Chapter 3 Problem 77

Cube of an even number is odd. State whether the statement is true or false

Summary:

The given statement, ”Cube of an even number is odd” is false.

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☛ Related Questions:

• Cube of an odd number is even. State whether the statement is true or false
• Cube of an even number is even. State whether the statement is true or false
• Cube of an odd number is odd. State whether the statement is true or false