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Do you ever heard the word cube before?
 
Yes, we know that a cube is a 3-dimensional figure; we already studied it in earlier classes.
 
Recall:
A cube is a solid figure, which has all sides of equal length.
 
cube_vol (1).png
If you multiply a number by itself and then by itself again (thrice), the product is a cube number. It is also called as a perfect cube. That is, if a is a number, its cube is represented by a^3.
Example:
Let us find the cube number of 3.
 
Here, a = 3.
 
a^3 = 3^3
 
= 3 \times 3 \times 3 = 27
 
Therefore, 27 is the cube number of 3.
The following table consist of cube numbers of the first ten numbers.
 
Number
Cube number
Number
Cube number
1
1^3 = 1
11
11^3 = 1331
2
2^3 = 8
12
12^3 = 1728
3
3^3 = 27
13
13^3 = 2197
4
4^3 = 64
14
14^3 = 2744
5
5^3 = 125
15
15^3 = 3375
6
6^3 = 216
16
16^3 = 4096
7
7^3 = 343
17
17^3 = 4913
8
8^3 = 512
18
18^3 = 5832
9
9^3 = 729
19
19^3 = 6859
10
10^3 = 1000
20
20^3 = 8000