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Option C: is the surface area of the prism
Explanation:
Given figure is a triangular prism.
We need to determine the surface area of the triangular prism.
The formula to find the surface area of the triangular prism is given by
where b is the base of the triangle,
h is the height of the triangle,
are the three sides of the triangle and
H is the height of the prism.
Let us substitute the values ,
,
,
,
and
in the formula, we get,
Simplifying, we get,
Multiplying the term, we get,
Adding the terms, we have,
Thus, the surface area of the prism is
Hence, Option C is the correct answer.