Cube Root formula of Perfect Cubes of 1 to 100 

Cube Root formula of Perfect Cubes of 1 to 100 

Cube Root formula of Perfect Cubes from 1 to 100

How to find the cube root of a number quickly | Cube Root Calculator
The cube root of a number means it is a value of that, when used in multiplication by itself in three times, gives that number.
In this page explained about one simple and easy tip for finding Cube Roots of Perfect Cubes of two digits numbers. By this cube root formula, we find cube root in a fraction of seconds.
These points to be remembered for this cube root formula.

  1. The given number should be perfect two digit cube.
  2. Remember cubes of 1 to 10 numbers.
  3. As per the cubes identify as follow as below table.
13 = 1 If last a digit of perfect cube number =1,

last a digit of cube root for that number=1

23 = 8 If last a digit of perfect cube number =8,

last a digit of cube root for that number=2

33 = 27 If last a digit of perfect cube number =7,

last a digit of cube root for that number=3

43 = 64 If last a digit of perfect cube number =4,

last a digit of cube root for that number=4

53 = 125 If last a digit of perfect cube number =5,

last a digit of cube root for that number=5

63 = 216 If last a digit of perfect cube number =6,

last a digit of cube root for that number=6

73 = 343 If last a digit of perfect cube number =3,

last a digit of cube root for that number=7

83 =512 If last a digit of perfect cube number =2,

last a digit of cube root for that number=8

93 = 729 If last a digit of perfect cube number =9,

last a digit of cube root for that number=9

103 = 1000 If last a digit of perfect cube number =0,

last digit of cube root for that number=0

If we put interest in mathematics then it is a very interesting subject and easy to learn. Now let’s see how we can easily find out cube roots of perfect cubes within a fraction of seconds.
Take examples to easily understand the cube root formula
Example 1: Find Cube Root of 13824
Step 1
Identify the last three digits from the right side and make a group of these three digits
i.e., 13 – 824
Step 2
Take the last group which is 824. And then find the last digit of 824 is 4
According to the above table if the last digit having 4 then the last digit of cube root for that number is 4
Hence the rightmost digit of the cube root of the given number is 4
Step 3
Take the next group which is 13
Find out the value of 13 lies in between the cube of the numbers 23 and 33
8 < 13 < 27
Take small cube number i.e “ 2 “
Hence the left neighbor digit of the answer is 2
So our answer = 24
Example 2: Find Cube Root of 175616
Step 1
Identify the last three digits from the right side and make a group of these three digits
i.e., 176 – 616
Step 2
Take the last group which is 616. And then find the last digit of 616 is 6
According to the above table if the last digit having 6 then the last digit of cube root for that number is 6
Hence the rightmost digit of the cube root of the given number is 6
Step 3
Take the next group which is 176
Find out the 176 lies in between the cube of the numbers i.e 53 and 63
125 < 176 < 216
Take small cube number i.e “ 5 “
Hence the left neighbor digit of the answer is 5
So our answer = 56
Example 3: Find Cube Root of 804357
Step 1
Identify the last three digits from the right side and make a group of these three digits
i.e., 804 – 357
Step 2
Take the last group which is 357. And then find the last digit of 357 is 7
According to the above table if the last digit having 7 then the last digit of cube root for that number is 3
Hence the rightmost digit of the cube root of the given number is 3
Step 3
Take the next group which is 804
Find out the 176 lies in between the cube of the numbers i.e 93 and 103
729 < 804 < 1000
Take small cube number i.e “ 9 “
Hence the left neighbor digit of the answer is 9
So our answer = 93
Example 4: Find Cube Root of 438976
Step 1
Identify the last three digits from the right side and make a group of these three digits
i.e., 438 – 976
Step 2
Take the last group which is 976. And then find the last digit of 976 is 6
According to the above table if the last digit having 6 then the last digit of cube root for that number is 6
Hence the rightmost digit of the cube root of the given number is 6
Step 3
Take the next group which is 438
Find out the 438 lies in between the cube of the numbers i.e 73 and 83
343 < 438 < 512
Take small cube number i.e “ 7 “
Hence the left neighbor digit of the answer is 7
So our answer = 76
Friend, it is very cube root formula for perfect cubes. Once if we understand the logic we can answer easily within a fraction of seconds.

Cube Root & Cubes of 1 to 100:

Number Cube CubeRoot

1

1 1.000
2 8 1.260
3 27 1.442
4 64 1.587
5 125 1.710
6 216 1.817
7 343 1.913
8 512 2.000
9 729 2.080
10 1000 2.154
11 1331 2.224
12 1728 2.289
13 2197 2.351
14 2744 2.410
15 3375 2.466
16 4096 2.520
17 4913 2.571
18 5832 2.621
19 6859 2.668
20 8000 2.714
21 9261 2.759
22 10648 2.802
23 12167 2.844
24 13824 2.884
25 15625 2.924
26 17576 2.962
27 19683 3.000
28 21952 3.037
29 24389 3.072
30 27000 3.107
31 29791 3.141
32 32768 3.175
33 35937 3.208
34 39304 3.240
35 42875 3.271
36 46656 3.302
37 50653 3.332
38 54872 3.362
39 59319 3.391
40 64000 3.420
41 68921 3.448
42 74088 3.476
43 79507 3.503
44 85184 3.530
45 91125 3.557
46 97336 3.583
47 103823 3.609
48 110592 3.634
49 117649 3.659
50 125000 3.684
51 132651 3.708
52 140608 3.733
53 148877 3.756
54 157464 3.780
55 166375 3.803
56 175616 3.826
57 185193 3.849
58 195112 3.871
59 205379 3.893
60 216000 3.915
61 226981 3.936
62 238328 3.958
63 250047 3.979
64 262144 4.000
65 274625 4.021
66 287496 4.041
67 300763 4.062
68 314432 4.082
69 328509 4.102
70 343000 4.121
71 357911 4.141
72 373248 4.160
73 389017 4.179
74 405224 4.198
75 421875 4.217
76 438976 4.236
77 456533 4.254
78 474552 4.273
79 493039 4.291
80 512000 4.309
81 531441 4.327
82 551368 4.344
83 571787 4.362
84 592704 4.380
85 614125 4.397
86 636056 4.414
87 658503 4.431
88 681472 4.448
89 704969 4.465
90 729000 4.481
91 753571 4.498
92 778688 4.514
93 804357 4.531
94 830584 4.547
95 857375 4.563
96 884736 4.579
97 912673 4.595
98 941192 4.610
99 970299 4.626
100 1000000 4.642

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