In this paper, we are interested in some problems on cubic chessboard with square cells (domination and independence numbers). At the beginning, these problemsare examined with one type of the chess pieces. In certain technique, studying these problemswill continue with two different types. In the case of one type of chess pieces which have been dealt with in this article, the typeis rookor king. The pieces of the two different types in our study are: kings with rooks together