Explanation:
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Hope this helps so I put what is important to know and help you understand how it works with finding the surface of a triangular prism and learn how to make it's formula.
The formula for the surface area of a right triangular prism is calculated by adding up the area of all rectangular and triangular faces of a prism. The surface area of a right triangular prism formula is:
Surface area = (Length × Perimeter) + (2 × Base Area) = ((S)1(S)1 + (S)2(S)2 + h)L + bh
where,
b is the bottom edge of the base triangle,
h is the height of the base triangle,
L is the length of the prism and
(S)1(S)1, (S)2(S)2 are the two edges of the base triangle
bh is the combined area of two triangular faces. The ((S)1(S)1 + (S)2(S)2 + h)L is the area of the three rectangular side faces. The surface area of a right triangular prism is also referred to as its total surface area.
The lateral surface area of any object is calculated by removing the base area or we can say that the lateral surface area is the area of the non-base faces only. When the right triangular prism has its bases facing up and down, the lateral area is the area of the vertical faces. The lateral area of a right triangular prism can be calculated by multiplying the perimeter of the base by the length of the prism. Thus, the lateral surface area of a right triangular prism is:
LSA = ((S)1(S)1 + (S)2(S)2 + h)L = (Length × Perimeter) or LSA = l × p
where,
l is the height of a prism
p is the perimeter of the base