8. Let the lines $l_{1} / / l_{2}$, and take 10 points $A_{1}, A_{2}, \cdots, A_{10}$ and $B_{1}, B_{2}, \cdots, B_{10}$ on $l_{1}$ and $l_{2}$ respectively. Then the line segments $A_{1} B_{1}, A_{2} B_{2}, \cdots, A_{10} B_{10}$ can divide the strip region between $l_{1}$ and $l_{2}$ into at most $\qquad$ non-overlapping parts.
8. 56 .

A line segment divides the original region into two parts. The $k$-th line segment can be divided into at most $k$ segments by the previous $k-1$ line segments, and it can add at most $k$ parts. Therefore, $k$ line segments can divide the region into at most $2+2+3+\cdots+k=\frac{k^{2}+k+2}{2}$ parts.