What is the minimum number that needs to be taken away in order to construct a solid cube with none left over?

Question

Given: You have 59 cubic blocks.

Answer 1

32 Cubic Block has to be removed to construct a solid cubic

As If a cube of 3 Blocks has to be made we need 27 blocks. and for cube of 4 blocks we need 64 Blocks,

So as we can make the solid cubic of 3 for which in total we need only 27 blocks.

So 59 - 27 = 32 Blocks has to be removed