CUBED NUMBERS

Cubed Numbers

Definition Of Cubed Numbers

The number obtained by multiplying a number three times is called a Cubed Number.

More About Cubed Numbers

The cube of an integer is also called as perfect cube.

Video Examples: Cube Numbers

Examples of Cubed Numbers

The cube of a number 5 is 5³ = 5 × 5 × 5 = 125.
The cube of a number - 6 is (- 6)3 = - 6 × - 6 × - 6 = - 216.
The cube of the number 0.4 is (0.4)³ = 0.4 × 0.4 × 0.4

Solved Example on Cube Numbers

Ques: Find the cube of (- 13).

Choices:

A. 169
B. - 2197
C. 2197
D. - 2179
Correct Answer: B

Solution:

Step 1: The cube of a number (- 13) = (- 13)³
Step 2: (- 13)3 = - 13 × - 13 × - 13 [a 3 = a × a × a.]
Step 3: = - 2197
Step 4: So, the cube of a number (- 13) is - 2197.

Quick Summary

Cubing a number means raising it to the power of 3.
The cube of an integer is also known as a perfect cube.
Cubing can be applied to positive, negative, and decimal numbers.

\[ n^3 = n \times n \times n \]

🍎 Teacher Insights

Use visual aids like cubes or blocks to demonstrate the concept of cubing. Emphasize the difference between squaring and cubing.

🎓 Prerequisites

Exponents
Multiplication
Integers

Check Your Knowledge

Q1: What is the cube of -5?

A. 25 B. -25 C. 125 D. -125

Q2: What is the cube of 4?

A. 8 B. 12 C. 16 D. 64

Frequently Asked Questions

Q: What is a perfect cube?
A: A perfect cube is an integer that can be expressed as the cube of another integer. For example, 8 is a perfect cube because it is 2 cubed (2 x 2 x 2).

Q: Is the cube of a negative number always negative?
A: Yes, because a negative number multiplied by itself three times results in a negative number.