12-lesson-mathsTricksandFun-cubesolution

12-lesson-mathsTricksandFun-cube solution

 

  Today we are going to study the methods to find cube of numbers.I am Dr Prema B Sejekan. Cube of a number is the product of multiplying by itself thrice. Though there are different methods three methods ie Anurupya sutra yavadunam sutra, and method to find the cube of same digit numbers is discussed in these lessons on cubing

We should keep ourselves ready with the square and cube of unit digits for a quick solving of the cubes.Here I have noted down the squaring and cubing of commonly used digits.

Cubing by Anurupya Sutra is the topic to study here.algebraic explanation in this is a+b whole cubed is equal to A3 3a2b 3ab2 and b3. This is used to find cube of 2 digits .  

  In finding cube of a number,first

 find the number of digits in the question and 3/(3-1)times this  will be the number of digits in the answer and

  when first digit is 1,2,3 this m be

3-1/-2 times these digits , in the answer.

 Mark the expected digits in the answer as dots             

Cube of 12   Here first find out how many digits ,there are 6 digits in the question so the answer will have 4 or 5 digits since starts with 1. NowAnurupya sutra code is A3 3 a2b , 3ab2 and b3. 13, 3× 1×1×2, ,

3 ×2×2×1 and 2,3. Ie 1 , 6, 12,8 .Adding the carry overs we get 1728

Here we have to find the cube of 24 .so 6 digits in question and first digit is 2 Then answer should have 4 or 5 digits..we can find a2b and ab2 value first then multiply it with 3 in the second step.Thus 8 , 3×16,3×32, 64.ie 8,48,96,64 Adding the carryovers we get the answer is 13824

This is cube of 97 so there are ,6 digits in the question and since bigger digit the answer will have 6 digits. 9, 3,927,972 73

 567added to its double gives 1701 ,same way 441 added to its double 882 gives 1323 then adding all together gives 912673

In the coming classes cubing by Yavadunam sutra we will study. Thank you .Subscribe