##
**Cube and Cube Roots**

###
**Cube
Numbers**

A number obtained by multiplying any number three times
is called a

**cube number**. It is represented by giving the power 3 to the multiplicand.
For example,

Cube of 0 = 0

^{3}= 0 × 0 × 0 = 0
Cube of 1 = 1

^{3}= 1 × 1 × 1 = 1
Cube of 2 = 2

^{3}= 2 × 2 × 2 = 8
Cube of 3 = 3

^{3}= 3 × 3 × 3 = 27
Cube of 4 = 4

^{3}= 4 × 4 × 4 = 64
Cube of 5 = 5

^{3}= 5 × 5 × 5 = 125 and so on.********************

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####
**Perfect
Cube Numbers**

Cube of whole numbers i.e 0, 1, 8, 27, 64, 125, 216, 343,
512, 729, 1000, … etc are called

**perfect cube numbers**.####
*Some
facts of cube numbers:*

*Some facts of cube numbers:*

*1.*

*Cube of even positive integer is even.*

*2.*

*Cube of positive integer is a positive number.*

*3.*

**Cube of negative integer is s negative number.**

*4.*

*Cube of odd positive integer is odd.*###
**Cube
Root**

Cube
number and cube root are correlated. When we multiply three same numbers we get
a cube number, and that multiplicand of the cube number is called a

**cube root**. It is represented by giving power 1/3 to the cube number or using radical sign of cube root as shown below:###
**Cube
root can be calculated by using the prime factorization methods:**

In this method we factorize the number into its prime
factors and form the power of 3.

For example,

###
*Workout
Examples*

*Workout Examples*

*Example 1: Find the cube of 11.*

*Solution:*

*Here,*

*Cube of 11 = 11*

^{3}

*= 11 × 11 × 11 = 1331*

*Example 2: Find the cube root of 1728 by prime factorization method.*

*Solution:*

*Here,*

*You can comment your questions or problems regarding the cube numbers and cube root here.*

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