  Let $B_n$ be a linear polyomino chain with $n$ squares. Let $B_n^2$ be the
graph obtained by the strong prism of a linear polyomino chain with $n$
squares, i.e. the strong product of $K_2$ and $B_n$. In this paper, explicit
expressions for degree-Kirchhoff index and number of spanning trees of $B^2_n$
are determined, respectively. Furthermore, it is interesting to find that the
degree-Kirchhoff index of $B^2_n$ is almost one eighth of its Gutman index.
