The surface area of the trapezoidal prism is 316 square units
Calculating the surface area of the prism
From the question, we have the following parameters that can be used in our computation:
The trapezoidal prism
The total area of the trapezoidal prism is calculated using
Surface area = 2 * Area of side trapezoids + (Sum of side lengths) * Width
Using the above as a guide, we have the following:
Area = 2 * 1/2 * (5 + 8) * 4 + (5 + 5 + 4 + 8) * 12
Evaluate
Area = 316
Hence. the total area of the figure is 316 square units