Step 1 :Calculate the volume of the rectangular prism: \(Volume = Length \times Width \times Height\)
Step 2 :Plug in the given values: \(Volume = 9 cm \times 18 cm \times 3 cm\)
Step 3 :Calculate the result: \(Volume = 486 cm^3\)
Step 4 :\(\boxed{486 cm^3}\)