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Triangular Pyramid Examples In Real Triangular Pyramid Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., perimeter is 20cm, slant length is 5cm. Solution: Triangular Pyramid-Definition,. Triangle-based pyramid › A common type of pyramid is one with a triangular base. Example 1: Each side of a triangular pyramid is of length 3 units, the height of the base triangle is 6, and the slant height is 5. Find its total surface area. Solution. The surface area of a triangular pyramid of side a is. Surface Area = 1⁄2(a × b) + 3⁄2(b × s) On Substituting the values, we get,.