1. **Stating the problem:** We are given a parallelogram with a base length of 6 cm and an area of 18 cm². We need to find the height of the parallelogram. 2. **Formula used:** The area $A$ of a parallelogram is given by the formula: $$A = \text{base} \times \text{height}$$ where the height is the perpendicular distance from the base to the opposite side. 3. **Substitute the known values:** $$18 = 6 \times h$$ where $h$ is the height. 4. **Solve for height $h$:** $$h = \frac{18}{6} = 3$$ 5. **Conclusion:** The height of the parallelogram is 3 cm. This means the vertical height (perpendicular to the base) that corresponds to the base length of 6 cm is 3 cm.