Cube of 3 digit numbers

Cube of 3 digit number

One easy method to find the cube of a 3 digit number.  let me put an example 462 ³

Here let a=4 ; b=6 and c =2

Find the following

ac + b ² =  8 + 36 = 44  ------(z)

c ³ = 2 ³ = 8 --------------------------------------> 8

3bc ² = 3X6X4 =72 ------------------------------> 2   CF =7

3c X (z) = 6 X 44 = 264 + 7=271 ----------------> 1   CF =27

b(6ac+b ² ) = 6(48+36) =504 +27=531 ----------> 1   CF = 53

3a X (z) = 12 X 44 = 528 + 53 =581 -------------> 1   CF =58

3a ² b = 3 X 16 X 6 = 288 +58= 346 -------------> 6   CF =34

a ³ =64 +34 = 98 ---------------------------------> 8

----------------------------------------------------> 9

so 462 ³ = 98611128