Surface area of a triangular pyramid:
SA = 1/2 as + 3/2 sl
a = altitude of the base triangle
s = side of the triangle
l = slant height of the pyramid.
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total surface area is all of the area. ex. for a square pyramid it would be the area of the square on the bottom and the four triangle sides lateral surface area is all the surface area EXCEPT the base. ex. for a square pyramid it would be the area of the four sides of the pyramid. the bottom square is NOT included. for a triangular prism it would be the area of the three rectangle sides, NOT the two triangular sides
Well honey, to find the surface area of a triangular prism, you add the areas of all the individual faces. So, you calculate the area of the two triangular bases and the three rectangular sides, then add them all up. It's as simple as that, darling.
To work out the area of the rectangular faces, you need to multiply the length by the width. You then need to multiply that answer by 3 (because there are 3 rectangular faces).To work out the area of the triangular faces, multiply the base of the triangle by the height and divide the answer by 2 (to find the area of one triangle). You then need to multiply it by 2 again because there are 2 triangular faces.Important: The height of a triangle is the distance from the top corner of the triangle down to the base (so that it meets the base at 90 degrees)You then need to add the total surface area of the rectangular faces to the surface area of the triangular faces to get the total surface area of the entire prism.(sorry for the essay :])
Volume_any_pyramid = 1/3 × area_base × perpendicular_height For a triangular pyramid (tetrahedron) this becomes: volume = 1/6 × base_width × base_height × pyramid_height For the surface area there is no (easy) general formula: the area of the base triangle and the area of the three side triangles need to be worked out and added together.
A triangular prism is a three-sided prism with three faces joining corresponding sides. The formula for its surface area is SA = wh + lw + lh + ls, where l=length, h=height, w=width and s=side.