What is Perfect Cube Root?
The perfect cube root of a number is the value that, when multiplied by itself three times, equals the original number. For example, the perfect cube root of 27 is 3, because 3 x 3 x 3 = 27. To find the perfect cube root of a number, you can use the cube root function on a calculator or in mathematical software. You can also use estimation and successive approximation methods to find the cube root of a number.
Perfect Cube Roots List
| Perfect Cube | Writing in terms | cube |
| 1 | 1 × 1 × 1 | 1 3 |
| 8 | 2 × 2 × 2 | 2 3 |
| 27 | 3 × 3 × 3 | 3 3 |
| 64 | 4 × 4 × 4 | 4 3 |
| 125 | 5 × 5 × 5 | 5 3 |
| 216 | 6 × 6 × 6 | 6 3 |
| 343 | 7 × 7 × 7 | 7 3 |
| 512 | 8 × 8 × 8 | 8 3 |
| 729 | 9 × 9 × 9 | 9 3 |
| 1000 | 10 × 10 × 10 | 10 3 |
| 1331 | 11 × 11 × 11 | 11 3 |
| 1728 | 12 × 12 × 12 | 12 3 |
| 2197 | 13 × 13 × 13 | 13 3 |
| 2744 | 14 × 14 × 14 | 14 3 |
| 3375 | 15 × 15 × 15 | 15 3 |
| 4096 | 16 × 16 × 16 | 16 3 |
| 4913 | 17 × 17 × 17 | 17 3 |
| 5832 | 18 × 18 × 18 | 18 3 |
| 6859 | 19 × 19 × 19 | 19 3 |
| 8000 | 20 × 20 × 20 | 20 3 |
| 9261 | 21 × 21 × 21 | 21 3 |
| 10648 | 22 × 22 × 22 | 22 3 |
| 12167 | 23 × 23 × 23 | 23 3 |
| 13824 | 24 × 24 × 24 | 24 3 |
| 15625 | 25 × 25 × 25 | 25 3 |
| 17576 | 26 × 26 × 26 | 26 3 |
| 19683 | 27 × 27 × 27 | 27 3 |
| 21952 | 28 × 28 × 28 | 28 3 |
| 24389 | 29 × 29 × 29 | 29 3 |
| 27000 | 30 × 30 × 30 | 30 3 |
| 29791 | 31 × 31 × 31 | 31 3 |
| 32768 | 32 × 32 × 32 | 32 3 |
| 35937 | 33 × 33 × 33 | 33 3 |
| 39304 | 34 × 34 × 34 | 34 3 |
| 42875 | 35 × 35 × 35 | 35 3 |
| 46656 | 36 × 36 × 36 | 36 3 |
| 50653 | 37 × 37 × 37 | 37 3 |
| 54872 | 38 × 38 × 38 | 38 3 |
| 59319 | 39 × 39 × 39 | 39 3 |
| 64000 | 40 × 40 × 40 | 40 3 |
| 68921 | 41 × 41 × 41 | 41 3 |
| 74088 | 42 × 42 × 42 | 42 3 |
| 79507 | 43 × 43 × 43 | 43 3 |
| 85184 | 44 × 44 × 44 | 44 3 |
| 91125 | 45 × 45 × 45 | 45 3 |
| 97336 | 46 × 46 × 46 | 46 3 |
| 103823 | 47 × 47 × 47 | 47 3 |
| 110592 | 48 × 48 × 48 | 48 3 |
| 117649 | 49 × 49 × 49 | 49 3 |
| 125000 | 50 × 50 × 50 | 50 3 |
| 132651 | 51 × 51 × 51 | 51 3 |
| 140608 | 52 × 52 × 52 | 52 3 |
| 148877 | 53 × 53 × 53 | 53 3 |
| 157464 | 54 × 54 × 54 | 54 3 |
| 166375 | 55 × 55 × 55 | 55 3 |
| 175616 | 56 × 56 × 56 | 56 3 |
| 185193 | 57 × 57 × 57 | 57 3 |
| 195112 | 58 × 58 × 58 | 58 3 |
| 205379 | 59 × 59 × 59 | 59 3 |
| 216000 | 60 × 60 × 60 | 60 3 |
| 226981 | 61 × 61 × 61 | 61 3 |
| 238328 | 62 × 62 × 62 | 62 3 |
| 250047 | 63 × 63 × 63 | 63 3 |
| 262144 | 64 × 64 × 64 | 64 3 |
| 274625 | 65 × 65 × 65 | 65 3 |
| 287496 | 66 × 66 × 66 | 66 3 |
| 300763 | 67 × 67 × 67 | 67 3 |
| 314432 | 68 × 68 × 68 | 68 3 |
| 328509 | 69 × 69 × 69 | 69 3 |
| 343000 | 70 × 70 × 70 | 70 3 |
| 357911 | 71 × 71 × 71 | 71 3 |
| 373248 | 72 × 72 × 72 | 72 3 |
| 389017 | 73 × 73 × 73 | 73 3 |
| 405224 | 74 × 74 × 74 | 74 3 |
| 421875 | 75 × 75 × 75 | 75 3 |
| 438976 | 76 × 76 × 76 | 76 3 |
| 456533 | 77 × 77 × 77 | 77 3 |
| 474552 | 78 × 78 × 78 | 78 3 |
| 493039 | 79 × 79 × 79 | 79 3 |
| 512000 | 80 × 80 × 80 | 80 3 |
| 531441 | 81 × 81 × 81 | 81 3 |
| 551368 | 82 × 82 × 82 | 82 3 |
| 571787 | 83 × 83 × 83 | 83 3 |
| 592704 | 84 × 84 × 84 | 84 3 |
| 614125 | 85 × 85 × 85 | 85 3 |
| 636056 | 86 × 86 × 86 | 86 3 |
| 658503 | 87 × 87 × 87 | 87 3 |
| 681472 | 88 × 88 × 88 | 88 3 |
| 704969 | 89 × 89 × 89 | 89 3 |
| 729000 | 90 × 90 × 90 | 90 3 |
| 753571 | 91 × 91 × 91 | 91 3 |
| 778688 | 92 × 92 × 92 | 92 3 |
| 804357 | 93 × 93 × 93 | 93 3 |
| 830584 | 94 × 94 × 94 | 94 3 |
| 857375 | 95 × 95 × 95 | 95 3 |
| 884736 | 96 × 96 × 96 | 96 3 |
| 912673 | 97 × 97 × 97 | 97 3 |
| 941192 | 98 × 98 × 98 | 98 3 |
| 970299 | 99 × 99 × 99 | 99 3 |
| 1000000 | 100 × 100 × 100 | 100 3 |
