 We can find cubes using Nicolam method as well and this method involves finding a base as well as a Vice base, that's what I would like to call it. So let's see what this involves really So let's say a is the original number that is being given to us to find the cubes So let's say this is 32 and we are interested in finding the cube of 32 So our question is basically to find out cube of 32 So I'm writing a for actual number and there will be base and base is the multiple of the power of 10 Which is nearest to this actual base and this is 30 here and then we divide this base by 10 and we write the vice base and This vice base is going to be 3. So if the base was 40, so let's say if this base was 40 this vice base would be 34 and this if this was 70 then vice base would be 7 So in this case because the base is 30 our vice base is 3 Now answer for the cube of 32 will be found in three parts This is the right most part which will be a one digit number Because the base has one zero in it This part also will be a one digit number and if there are more digits in the right most part in the middle part We will carry the remaining part towards left. So what is the right most part? Right most part is a cube of deviation D and this deviation is given by the number minus The base and in this case it is 2. So we will write cube of 2 Let's look at the left most part the left most part is found by taking the actual number, which is a or 32 here plus 2 times D and D is 2 in this case Let me just write 2 times the square of the vice base something like this and so in this case it will be a which is 32 plus 2 times deviation which is 2 and then we'll complete the bracket times vice base, which is 3 and square and This gives us 36 times 9. That is 324 so let's write 324 here now. What about the middle part? Let me just erase this section So that we have good space for the middle part the middle part is calculated as follows It is given by three times square of the deviation Times the vice base and in this case it will be times the vice base and in this case It will be three times a deviation is 2 so it's square times vice base Which is 3 and this will be 9 times 4 36 it's right 36 here and The right most part we have already written. It's 2 cubes. So it's 8. There is no carry That's overflowing to the left-hand side But in here because we can only place one digit this 3 will flow as a carry to the left-hand side So in the middle part, we won't have 36 But we will simply have 6 and this 3 will flow towards left and this will be 324 plus 3 And we won't have this 3 so now We have 327 then the next part is 6 and then it's 8 and so this is the cube of 32 And this is how we can complete cube using nickel method of cubes