Question

Is there a number which is equal to its cube but not equal to its square,

Answer 1

Yes there is a number which is equal to its cube but not its square 

the number is -1 

its cube is (-1)³ = [ (-1)(-1)(-1) ] = -1 

its square is (-1)² = [ (-1)(-1) ]   = +1
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Answer 2

Hey there!

First of all check which numbers equal to their cubes

You get 1,-1 as numbers equal to cubes

-1³=-1
1³=1

Now check squares of these numbers
-1²=1≠-1

1²=1
So finally the number which is equal to cube but not square is -1

Hope helped!