Cube and Cube Roots

The smallest number that should be subtracted from $$130$$ to make it perfect cube is 
Find the  cube root of each of the following cube numbers through estimation.
$$148877$$
Evaluate the following using suitable identities:
$$(102)^{3}$$
Which of the following numbers is the fourth power of a natural number ? 
Evaluate the following using suitable identities:
$$(998)^{3}$$