  In the paper, packings built of identical cuboids with a square base created
by random sequential adsorption are studied. The result of the study show that
the packing of the highest density are obtained for oblate and prolate cuboids
of the edge-edge length ratios of $0.7$ and $1.4$. For both cases, the packing
fraction is $0.400 \pm 0.002$, which is approximately 8% higher than the value
reported for cubes. Additionally, because the crucial part of the packing
generation algorithm is the cuboid-cuboid intersection detection, several
methods were tested. It appears that the fastest one is based on the separating
axis theorem.
