Christian collects model cars and planes. He has a display showcase for all his collector's items. Solved this real work problem to find the surface area of the display showcase, if the shape of the triangular PRISM with the following dimensions. Height is nine inches base seventeen inches

To find the surface area of a triangular prism, we need to calculate the area of all the faces and then add them together.

The formula for the surface area of a triangular prism is:
Surface Area = 2 * (base area) + (perimeter of base * height)

First, let's find the area of the base triangle.
The base of the triangular prism is a triangle with base 17 inches and height 9 inches.
Area of a triangle = 1/2 * base * height
Area of base triangle = 1/2 * 17 * 9 = 76.5 square inches

Next, let's find the perimeter of the base triangle.
Perimeter of a triangle = sum of all three sides
Perimeter of base triangle = 17 + 17 + 17 = 51 inches

Now, we can calculate the surface area of the triangular prism.
Surface Area = 2 * (76.5) + (51 * 9)
Surface Area = 153 + 459
Surface Area = 612 square inches

Therefore, the surface area of Christian's display showcase is 612 square inches.