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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.
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
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\(8^3 = 512\)
|
18
|
\(18^3 = 5832\)
|
|
9
|
\(9^3 = 729\)
|
19
|
\(19^3 = 6859\)
|
|
10
|
\(10^3 = 1000\)
|
20
|
\(20^3 = 8000\)
|
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