This method is to find cube of two digit numbers.
Let’s understand this method by taking some examples.
Find cube of 14.
Step 1: Find cube of tens digit and write it down as first digit .
Step 2: 1 and 4 are in the ratio of 1:4 So write next three numbers in the ratio of 1:4.
Step 3: Write double of second and third digit below them.
Step 4: Add both these rows as shown below.
- Starting from right, write 4 of 64 in the answer and 6 as carry.
- Add 6 + 16 + 32 = 54.
Write 4 in the answer and 5 as carry.
- Add 5 + 4 + 8 = 17
Write 7 in the answer and 1 as carry.
- Add 1 + 1 = 2
Write 2 in the answer.
Answer is 2744.
Find cube of 48.
Step 1: Find cube of tens digit and write it down as first digit .
Step 2: 4 and 8 are in the ratio of 1:2 So write next three numbers in the ratio of 1:2.
Step 3: Write double of second and third digit below them.
Step 4: Add both these rows as shown below.
- Starting from right, write 2 of 512 in the answer and 51 as carry.
- Add 51 + 256 + 512 = 819.
Write 9 in the answer and 81 as carry.
- Add 81 + 128 + 256 = 465
Write 5 in the answer and 46 as carry.
- Add 46 + 64 = 110
Write 110 in the answer.
So 483 = 110592.
Find cube of 63.
Step 1: Find cube of tens digit and write it down as first digit .
Step 2: 6 and 3 are in the ratio of 2:1 So write next three numbers in the ratio of 2:1.
Step 3: Write double of second and third digit below them.
Step 4: Add both these rows as shown below.
- Starting from right, write 7 of 27 in the answer and 2 as carry.
- Add 2 + 54 + 108 = 164.
Write 4 in the answer and 16 as carry.
- Add 16 + 108 + 216 = 340
Write 0 in the answer and 34 as carry.
- Add 34 + 216 = 250
Write 250 in the answer.
So 633 = 250047.
