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

Solution:

Given, the Cube of an odd number is even.

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 odd number

Let the number be 5

Cube of 5 = (5)³

= 5 × 5 × 5

= 25 × 5

= 125

Similarly, 3³ = 27

Therefore, the cube of an odd number is odd.

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

☛ Also Check: NCERT Solutions for Class 8 Maths

---

NCERT Exemplar Class 8 Maths Chapter 3 Problem 78

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

Summary:

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

---

☛ Related Questions:

• 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
• 999 is a perfect cube. State whether the statement is true or false