All cross-sections parallel to the base faces are the same triangle.Īs a semiregular (or uniform) polyhedron Ī right triangular prism is semiregular or, more generally, a uniform polyhedron if the base faces are equilateral triangles, and the other three faces are squares. Base area of a triangular prism (1/2) × b × h. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.Įquivalently, it is a polyhedron of which two faces are parallel, while the surface normals of the other three are in the same plane (which is not necessarily parallel to the base planes). Base area of a triangular prism Area of the base triangle. A right triangular prism has rectangular sides, otherwise it is oblique. To finish our example, just add up all the blue numbers above: 12 + 12 + 15 + 15 + 20 + 20 94 square inches. The formula to calculate the surface area of a triangular prism is. You can use this formula for any rectangular prism, and you will always get the surface area. The surface area of a triangular prism can be calculated by adding the base area and its lateral faces. 3) Use the formula: Perimeter of Base X Height. Add them all together to get the area of the whole shape: lw + lw + wh + wh + lh + lh. In geometry, a triangular prism is a three-sided prism it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. To find the surface area of a prism, follow the 5 steps: 1) Determine the height of the prism. For the optical prism, see Triangular prism (optics). The total surface area of a Prism Lateral surface area of prism + area of the two bases (2 × Base Area) + Lateral surface area or (2 × Base Area) + (Base perimeter × height).
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