Cube root of 27 is 3
Cube root of 30 will be slightly higher than 3 (since 30 is higher than 27 by a just a little) which happens to be 3.11 (to 3 significant figure, 3.107... on a calculator)
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The cube root of 27,000 is: 30
30
30.1111
33.8148
There is no easy way. For example the cube root of 30 is irrational. Now, because 27 < 30 < 64 then, taking cube roots, 3 < cuberoot(30) < 4. But that is as far as it goes! If the number ends with 000 then the cuberoot is a multiple of 10. So that cuberoot(27000) = 10*cuberoot(27) = 10*3 = 30. But there are many numbers ending with 000 between 27000 and 64000 for which this will not work.