Math and Arithmetic
Geometry

# What is the formula for the lateral area of a triangular prism?

123 ###### 2015-06-23 09:52:16

Length of prism * perimeter of triangular face.

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## Related Questions triangular prism- formula: Abh(area of the base * height) 2*area of triangular base + perimeter of triangle*length of prism.  It depends on the size of the triangular prism, but depending on the side of the prism you use the triangle area formula to find it or the rectangle area formula to find it.  The lateral area [L] of a right prism with base perimeter [P] and height [h] is L=Ph. Find the area of a triangular section, 1/2bh, and then multiply by the length of the prism. The lateral area of a triangular prism is found by computing the perimeter of the triangular base (sum of the three sides) and multiplying it by the height of the prism. If the triangular base has sides of length s1, s2, and s3, and the height of the prism is h, then each lateral face of the prism would be a rectangle. The area of one face of the prism would be (s1 x h), the area of the second face of the prism would be (s2 x h), and the area of the third face of the prism would be (s3 x h). So the three lateral faces would have a total area of (s1 x h) + (s2 x h) + (s3 x h), or equivalently (s1 + s2 + s3) x h; i.e., (the perimeter of the triangular base) x (the height of the prism). The lateral area of a prism is the sum of the area of the lateral faces The formula is Bxh where B is the base which is the area of the triangle and h is the height of the prism. Assume that a = apothem length of the triangular prism, b = base length of the triangular prism, and h = height of the triangular prism. The formulas to find the surface area is SA = ab + 3bh. The cross sectional area of a triangular prism is simply the area of the base. The formula for the area of a triangle in one half base times height. Remember that a triangular prism by definition has a triangle for a base.  Whatever the net, the answer is the same area as that of the net. A triangular prism can be thought of as a stack of triangles. Then the volume is equal to the area of the triangular base multiplied by the height of the prism, or 1/2 length * width * height. A prism is a polyhedron with two parallel bases bounded by congruent polygons and with lateral faces bounded by parallelograms that connect the corresponding sides of the bases. The height of a prism is any perpendicular line drawn from a point on one base to the other base. If the the bases' shape of a prism is a triangle, we call it a triangular prism (it has 3 faces). The surface area is the sum of the bases' area and the faces' area (lateral area). To find the volume of a triangular prism, find the area of one of the triangles (base of the prism) first (base x height divided by 2). When you have the area of the triangle, then multiply the area of the triangle by the height of the prism, *not the height of the base. Area of triangle * 2 + perimeter of triangle * length.  The exact answer depends on what information is available. It is equivalent to area of triangular base*length. It is the sum of the area of the lateral faces It is not possible to answer the question because the information which is provided does not enable you to distinguish between a "fat" but short prism or a thin long one. 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. The lateral area of a prism is the sum of the areas of all the lateral faces. A lateral face is not a base. The surface area is the total area of all faces.Lateral Area: The lateral area of a right prism with base perimeter P and height h is L=Ph.Surface Area: The surface area of a right prism with lateral area L and base area is B is S = L + 2B, or S = Ph + 2B. Area of the right section x Length of the lateral edge

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