Question

Calculate the surface area of the right triangular prism shown below.

Note: Figure may not be drawn to scale.
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Answer 1

I can't see the figure — could you upload the image or type the prism's dimensions (the two legs of the right triangle and the prism length)?

If you just want the general method: let the right-triangle base have legs a and b, hypotenuse c = sqrt(a^2 + b^2), and let the prism length be L. Then the surface area (including the two triangular bases) is

Surface area = lateral area + 2 × base area
= L·(a + b + c) + 2·(½ab)
= L·(a + b + sqrt(a^2 + b^2)) + ab.

If you give the numbers I will compute the numeric answer and (if needed) pick the matching multiple-choice choice.