Question

is there any formula to find the largest four digit number which is a perfect cube​

Answer 1

Answer:

9261

Step-by-step explanation:

Actually there is no formula

but the largest 4 digit number and also a perfect cube is " 21³ = 9261 "

Answer 2

Let the required number is x

Therefore, =3
x=y3
,for some natural number y

We know that 1000 is smallest 4 digit number and 9999 is largest four digit number in 1000 is perfect cube of 10 whereas 9999 is not a perfect cube root of any number.

10 power 3=1000
which is much smaller than 1000 , therefore we have to find a number that is nearest to 9999

Now,20 power 3=8000

=> As 9999–8000=1999 which is a very less difference . Therefore y lies nearest to 20 of difference of 1 or 2 or is 20 only

For, 22 power3=10648 , a five digit number

Therefore , 20
As y is natural number therefore y=21

=>21 power 3
=9261

Therefore required number(x) = 9261