Find the height of a cuboid whose base area is 180 cm and volume is 190 cm?

As given the question has no solution. The base area cannot be 180 cm since that is a linear measure, not a measure of area, which should be in square centimetres.

If it is assumed that the base was 180 SQUARE cm, then

Volume = Base*Height

So Height = Volume/Base = 190/180 = 19/18 = 1.0555 cm.