Cube of Three Digit Number


Cube With Anurupyena - Concepts
Class - 7th IMO Subjects
 
 
Concept Explanation
 

Cube of Three Digit Number

Cube Of Three Digit Number Using Anurupyena Method: To find cube of a thtree digit number we can use this method. This is very fast method and saves a lot of time in the various competitive exams where each second counts.

Find Cube of 114

Step 1 : Find the Cube of the number at Units Place. Cube of 4 is 64

The digit at the unit place of the cube is the digit at the unit place in the Answer and the remaining goes to the carry

Answer 4

Carry is 6

Step 2 : The digits at the hundreds place and tens place are together considered as a single number Let us suppose it as New Number.

Multiply 3 with the New Number and then multiply it with the square of the digit at units place. Add the carry (If Any)

   Result = 3  X  11 X 16 + 6 = 528 + 6 = 534

Now place the units digit of the result at tens position of the answer and the remaining digit will be the carry.

Answer: 44

Carry:  53

Step 3: Multiply 3 with the square of the New Number and then multiply it with the digit at the units place. Add the carry (If any)

Result = 3 X 121 X 4 + 53 = 1452 + 53 = 1505

Now the digit at units place in the result will be the digit at the hundreds place in the answer and the remaining digit will be the carry.

Answer : 544

Carry: 150

Step 4: Find the cube of the digit at the tens place and add the carry (if any)

Result : 1331 + 150 = 1481

Answer : 1481544

 

 
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