Cube Root formula of Perfect Cubes of 1 to 100 

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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 = 1If last a digit of perfect cube number =1,

 

last a digit of cube root for that number=1

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

 

last a digit of cube root for that number=2

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

 

last a digit of cube root for that number=3

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

 

last a digit of cube root for that number=4

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

 

last a digit of cube root for that number=5

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

 

last a digit of cube root for that number=6

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

 

last a digit of cube root for that number=7

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

 

last a digit of cube root for that number=8

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

 

last a digit of cube root for that number=9

103 = 1000If 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

11.000
281.260
3271.442
4641.587
51251.710
62161.817
73431.913
85122.000
97292.080
1010002.154
1113312.224
1217282.289
1321972.351
1427442.410
1533752.466
1640962.520
1749132.571
1858322.621
1968592.668
2080002.714
2192612.759
22106482.802
23121672.844
24138242.884
25156252.924
26175762.962
27196833.000
28219523.037
29243893.072
30270003.107
31297913.141
32327683.175
33359373.208
34393043.240
35428753.271
36466563.302
37506533.332
38548723.362
39593193.391
40640003.420
41689213.448
42740883.476
43795073.503
44851843.530
45911253.557
46973363.583
471038233.609
481105923.634
491176493.659
501250003.684
511326513.708
521406083.733
531488773.756
541574643.780
551663753.803
561756163.826
571851933.849
581951123.871
592053793.893
602160003.915
612269813.936
622383283.958
632500473.979
642621444.000
652746254.021
662874964.041
673007634.062
683144324.082
693285094.102
703430004.121
713579114.141
723732484.160
733890174.179
744052244.198
754218754.217
764389764.236
774565334.254
784745524.273
794930394.291
805120004.309
815314414.327
825513684.344
835717874.362
845927044.380
856141254.397
866360564.414
876585034.431
886814724.448
897049694.465
907290004.481
917535714.498
927786884.514
938043574.531
948305844.547
958573754.563
968847364.579
979126734.595
989411924.610
999702994.626
10010000004.642

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