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