Cube Root

Chapter 6 Class 8 Cubes and Cube Roots
Concept wise
 Perfect Cube Writing in terms of 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

Perfect cube is a number whose cube root is an integer

Example :

• 2 3 , 3 3 , 4 3 , 5 3 , 6 3 , 7 3 , … are perfect cube
• i.e. 8, 27, 64, 125, 216, 343, … are perfect cube
 Cube Root Value ∛1 1 ∛8 2 ∛27 3 ∛64 4 ∛125 5 ∛216 6 ∛343 7 ∛512 8 ∛729 9 ∛1000 10 ∛1331 11 ∛1728 12 ∛2197 13 ∛2744 14 ∛3375 15 ∛4096 16 ∛4913 17 ∛5832 18 ∛6859 19 ∛8000 20 ∛9261 21 ∛10648 22 ∛12167 23 ∛13824 24 ∛15625 25 ∛17576 26 ∛19683 27 ∛21952 28 ∛24389 29 ∛27000 30 ∛29791 31 ∛32768 32 ∛35937 33 ∛39304 34 ∛42875 35 ∛46656 36 ∛50653 37 ∛54872 38 ∛59319 39 ∛64000 40 ∛68921 41 ∛74088 42 ∛79507 43 ∛85184 44 ∛91125 45 ∛97336 46 ∛103823 47 ∛110592 48 ∛117649 49 ∛125000 50 ∛132651 51 ∛140608 52 ∛148877 53 ∛157464 54 ∛166375 55 ∛175616 56 ∛185193 57 ∛195112 58 ∛205379 59 ∛216000 60 ∛226981 61 ∛238328 62 ∛250047 63 ∛262144 64 ∛274625 65 ∛287496 66 ∛300763 67 ∛314432 68 ∛328509 69 ∛343000 70 ∛357911 71 ∛373248 72 ∛389017 73 ∛405224 74 ∛421875 75 ∛438976 76 ∛456533 77 ∛474552 78 ∛493039 79 ∛512000 80 ∛531441 81 ∛551368 82 ∛571787 83 ∛592704 84 ∛614125 85 ∛636056 86 ∛658503 87 ∛681472 88 ∛704969 89 ∛729000 90 ∛753571 91 ∛778688 92 ∛804357 93 ∛830584 94 ∛857375 95 ∛884736 96 ∛912673 97 ∛941192 98 ∛970299 99 ∛1000000 100

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class