Study Material

The first step in finding the cube root of any number between 1 and 100, you will have to learn a cube of numbers from 1 to 12.
NumberCube
131
238
3327
4364
53125
63216
73343
83512
93729
1031000
1131331
1231728

 

Note: The unit place on cubing 1, 4, 5, 6, 9 and 0 is the same but the unit place on cubing 2, 3, 7, 8 are not same.

 

Cube of 2’s unit place is 8, and a cube of 8’s unit place is 2.

 

Similarly, the cube of 3’s unit place is 7; and a cube of 7’s unit place is 3.

 

One can easily find the cube root of any number between 13 and 100.

 

  Find the cube root of 2197.

 

Step 1: Take last 3 digits aside i.e. 197.

 

Step 2: Now, you can see the last digit of number 197 is ‘7’ which a unit place digit of 33. It means the number (cube root of 2197) contains ‘3’ in its unit place.

 

Step 3: Next, you have to find the tens place digit. For this, take the remaining value i.e. ‘2’ of number 2197.

 

Step 4: You can see that ‘2’ (of number 2197) is larger than 1 (a cube of 1).

 

Step 5: Finally, you know the cube root of 2197 by combining the steps 2 and 4, which gives you the answer i.e. 13

 

  Find the cube root of 262144.

 

Step 1: Take last 3 digits aside i.e. 144.

 

Step 2: Now, you can see the last digit of number 144 is ‘4’ which a unit place digit of 43. It means the number (cube root of 262144)contains ‘4’ in its unit place.

 

Step 3: Next, you have to find the tens place digit. For this, take the remaining value i.e. ‘262’ of number 262144.

 

Step 4: You can see that ‘262’ (of number 262144) is larger than 216 (a cube of 6).

 

Step 5: Finally, you know the cube root of 262144 by combining the steps 2 and 4, which gives you the answer i.e. 64
Practice by yourself

1. Find the cube root of 474552.
2. Find the cube root of 140608.
3. Find the cube root of 704969.
4. Find the cube root of 421875.
5. Find the cube root of 79507.
6. Find the cube root of 175616.

– I have also shared this post with my friend on sscnaukri.in (blog SSC aspirants).

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