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Answer: Surface area = bh/2 + (S1+ S2 + S3)H

in general surface area of a prism is

2 × area of base + perimeter of base × H

So in particular, for the triangular prism, we have the answer above. Here is why.

So h is the height of the triangular base and 1/2(bh) is the area of that triangle. 2x that is

bh so that is where the bh part of the formula comes from.

Now s1, s2 and s3 are the sides. So (s1+s2+s3) is the perimeter of the base. Let H be the height of the prism, then we have (s1+s2+s3)H in the second part of the formula.

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Q: What is the formula for area for a triangular prism?
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