Introduction
In arithmetic and algebra, the Cube of a number n is its third power: the result of the number multiplied by itself twice.
The cube of a number or any other mathematical expression is denoted by a superscript 3.
[latex]n^3 = n × n × n[/latex].
It is also the number multiplied by its square:
[latex]n^3 = n × n^2.[/latex]
Calculation
How to Calculate the Cube of a Number in 20 seconds?
To find the cube of any number follow the below steps:
Step 1: Apply this Formula - [latex]A^3 . A^2B . AB^2 . B^3[/latex]
Step 2: Write twice the values of 2nd and 3rd terms under the terms respectively in second row.
Step 3: Add the columns & follow the Carry Over Process.
Example 1:[latex]15^3[/latex] = ?
Example 2:[latex]46^3[/latex] = ?
Example 1:[latex]102^3[/latex] = ?
Cubes
The following are the cubes of the numbers from 1 to 100.
| Number | Cube | Value |
|---|---|---|
| 1 | [latex]1^3[/latex] | 1 |
| 2 | [latex]2^3[/latex] | 8 |
| 3 | [latex]3^3[/latex] | 27 |
| 4 | [latex]4^3[/latex] | 64 |
| 5 | [latex]5^3[/latex] | 125 |
| 6 | [latex]6^3[/latex] | 216 |
| 7 | [latex]7^3[/latex] | 343 |
| 8 | [latex]8^3[/latex] | 512 |
| 9 | [latex]9^3[/latex] | 729 |
| 10 | [latex]10^3[/latex] | 1000 |
| 11 | [latex]11^3[/latex] | 1331 |
| 12 | [latex]12^3[/latex] | 1728 |
| 13 | [latex]13^3[/latex] | 2197 |
| 14 | [latex]14^3[/latex] | 2744 |
| 15 | [latex]15^3[/latex] | 3375 |
| 16 | [latex]16^3[/latex] | 4096 |
| 17 | [latex]17^3[/latex] | 4913 |
| 18 | [latex]18^3[/latex] | 5832 |
| 19 | [latex]19^3[/latex] | 6859 |
| 20 | [latex]20^3[/latex] | 8000 |
| 21 | [latex]21^3[/latex] | 9261 |
| 22 | [latex]22^3[/latex] | 10648 |
| 23 | [latex]23^3[/latex] | 12167 |
| 24 | [latex]24^3[/latex] | 13824 |
| 25 | [latex]25^3[/latex] | 15625 |
| 26 | [latex]26^3[/latex] | 17576 |
| 27 | [latex]27^3[/latex] | 19683 |
| 28 | [latex]28^3[/latex] | 21952 |
| 29 | [latex]29^3[/latex] | 24389 |
| 30 | [latex]30^3[/latex] | 27000 |
| 31 | [latex]31^3[/latex] | 29791 |
| 32 | [latex]32^3[/latex] | 32768 |
| 33 | [latex]33^3[/latex] | 35937 |
| 34 | [latex]34^3[/latex] | 39304 |
| 35 | [latex]35^3[/latex] | 42875 |
| 36 | [latex]36^3[/latex] | 46656 |
| 37 | [latex]37^3[/latex] | 50653 |
| 38 | [latex]38^3[/latex] | 54872 |
| 39 | [latex]39^3[/latex] | 59319 |
| 40 | [latex]40^3[/latex] | 64000 |
| 41 | [latex]41^3[/latex] | 68921 |
| 42 | [latex]42^3[/latex] | 74088 |
| 43 | [latex]43^3[/latex] | 79507 |
| 44 | [latex]44^3[/latex] | 85184 |
| 45 | [latex]45^3[/latex] | 91125 |
| 46 | [latex]46^3[/latex] | 97336 |
| 47 | [latex]47^3[/latex] | 103823 |
| 48 | [latex]48^3[/latex] | 110592 |
| 49 | [latex]49^3[/latex] | 117649 |
| 50 | [latex]50^3[/latex] | 125000 |
| 51 | [latex]51^3[/latex] | 132651 |
| 52 | [latex]52^3[/latex] | 140608 |
| 53 | [latex]53^3[/latex] | 148877 |
| 54 | [latex]54^3[/latex] | 157464 |
| 55 | [latex]55^3[/latex] | 166375 |
| 56 | [latex]56^3[/latex] | 175616 |
| 57 | [latex]57^3[/latex] | 185193 |
| 58 | [latex]58^3[/latex] | 195112 |
| 59 | [latex]59^3[/latex] | 205379 |
| 60 | [latex]60^3[/latex] | 216000 |
| 61 | [latex]61^3[/latex] | 226981 |
| 62 | [latex]62^3[/latex] | 238328 |
| 63 | [latex]63^3[/latex] | 250047 |
| 64 | [latex]64^3[/latex] | 262144 |
| 65 | [latex]65^3[/latex] | 274625 |
| 66 | [latex]66^3[/latex] | 287496 |
| 67 | [latex]67^3[/latex] | 300763 |
| 68 | [latex]68^3[/latex] | 314432 |
| 69 | [latex]69^3[/latex] | 328509 |
| 70 | [latex]70^3[/latex] | 343000 |
| 71 | [latex]71^3[/latex] | 357911 |
| 72 | [latex]72^3[/latex] | 373248 |
| 73 | [latex]73^3[/latex] | 389017 |
| 74 | [latex]74^3[/latex] | 405224 |
| 75 | [latex]75^3[/latex] | 421875 |
| 76 | [latex]76^3[/latex] | 438976 |
| 77 | [latex]77^3[/latex] | 456533 |
| 78 | [latex]78^3[/latex] | 474552 |
| 79 | [latex]79^3[/latex] | 493039 |
| 80 | [latex]80^3[/latex] | 512000 |
| 81 | [latex]81^3[/latex] | 531441 |
| 82 | [latex]82^3[/latex] | 551368 |
| 83 | [latex]83^3[/latex] | 571787 |
| 84 | [latex]84^3[/latex] | 592704 |
| 85 | [latex]85^3[/latex] | 614125 |
| 86 | [latex]86^3[/latex] | 636056 |
| 87 | [latex]87^3[/latex] | 658503 |
| 88 | [latex]88^3[/latex] | 681472 |
| 89 | [latex]89^3[/latex] | 704969 |
| 90 | [latex]90^3[/latex] | 729000 |
| 91 | [latex]91^3[/latex] | 753571 |
| 92 | [latex]92^3[/latex] | 778688 |
| 93 | [latex]93^3[/latex] | 804357 |
| 94 | [latex]94^3[/latex] | 830584 |
| 95 | [latex]95^3[/latex] | 857375 |
| 96 | [latex]96^3[/latex] | 884736 |
| 97 | [latex]97^3[/latex] | 912673 |
| 98 | [latex]98^3[/latex] | 941192 |
| 99 | [latex]99^3[/latex] | 970299 |
| 100 | [latex]100^3[/latex] | 1000000 |