The surface area of a rectangular prism is is the area of the six rectangles that cover it.
If we break the rectangular prism into its parts we are going to have 2 bases and 4 lateral faces (rectangles) which make up the lateal area.

It is pretty easy to calculate their areas and then add them up.
What is the surface area?

A rectangular prism has 3 pairs of identical faces. Each face is a rectangle.
Find the area of the faces in each pair.

Now add the areas of the 6 faces.
Surface area = |
24 + 24 + 54 + 54 + 36 + 36
|
= |
228 |
The surface area of the rectangular prism is 228 square centimeters