Total surface area is the sum of the lateral surface area and areas of the top and bottom of the cylinder. Here is total surface area of elliptic cylinder formula to find the TSA based on the semi-major axis, semi-minor areas and height of the elliptic cylinder. First find the product of both axis "a" and "b" and multiply the result with 2 x pi. On other end, sum a and b, multiply with height x pi. The sum of two values gives TSA of an elliptical cylinder.
Total surface area is about measuring the total area including the total surface area and also the areas of the top and bottom of the cylinder. Also, you can navigate to the online total surface area of elliptic cylinder calculator provided above for your ease calculations.