To find the volume of the prism, we use the formula for the volume of a prism, which is:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
First, we need to calculate the area of the parallelogram base. The area \(A\) of a parallelogram can be calculated using the formula:
\[ A = \text{Base} \times \text{Height} \]
In this case, the base measures 9 centimeters and the height (perpendicular to that base) is 4 centimeters. Therefore, the area of the parallelogram is:
\[ A = 9 , \text{cm} \times 4 , \text{cm} = 36 , \text{cm}^2 \]
Next, we know the height of the prism is 18 centimeters. Now, we can find the volume of the prism:
\[ \text{Volume} = \text{Base Area} \times \text{Height} = 36 , \text{cm}^2 \times 18 , \text{cm} = 648 , \text{cm}^3 \]
Thus, the volume of the prism is:
\[ \boxed{648 , \text{cm}^3} \]