The total surface area of the figure is 20075.34 square units
How to determine the total surface area
From the question, we have the following parameters that can be used in our computation:
The figure
The total surface area is calculated using
Surface area = Surface area of rectangular prism + Surface area of half cylinder - Common area
Using the above as a guide, we have the following:
Surface area = 2 * (42 * 90 + 42 * 34 + 90 * 34) - 42 * 90 + 3.14 * 21 * 90 + 3.14 * 21 * 21
Evaluate
Surface area = 20075.34
Hence, the surface area is 20075.34 square units