![]() Triangular prism is a three-dimensional solid that has the shape of a triangular pyramid. The surface area of a triangular prism is the product of its base area and height. The volume of a triangular prism is the sum of the volumes of its three square faces. What is the Volume of a Triangular Prism? In this equation, VT represents the volume of the triangular prism, AB represents the length of one side of the triangle, CD represents the length of the other side, and pi represents Pi (3.14). ![]() ![]() The volume of a triangular prism can be calculated using the following formula: VT = 3(AB × CD). The surface of a triangular prism is the combination of the two other surfaces, and it can be used to create many different shapes. The other two vertices are the midpoints of the top and bottom faces.Ī triangular prism is a three-dimensional geometric object formed by connecting the three faces of a right triangle. The three vertices of a triangular prism are the only points in the plane where all three edges meet. In mathematics, a triangular prism is a polyhedron with triangular faces that are regular polygons. All the other versions may be calculated with our triangular prism calculator.Volume of a Triangular Prism Definitions and Examples The only option when you can't calculate triangular prism volume is to have a given triangle base and its height (do you know why? Think about it for a moment). Using law of sines, we can find the two sides of the triangular base:Īrea = (length * (a + a * (sin(angle1) / sin(angle1+angle2)) + a * (sin(angle2) / sin(angle1+angle2)))) + a * ((a * sin(angle1)) / sin(angle1 + angle2)) * sin(angle2) Triangular base: given two angles and a side between them (ASA) Using law of cosines, we can find the third triangle side:Īrea = length * (a + b + √( b² + a² - (2 * b * a * cos(angle)))) + a * b * sin(angle) Triangular base: given two sides and the angle between them (SAS) However, we don't always have the three sides given. area = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area).If you want to calculate the surface area of the solid, the most well-known formula is the one given three sides of the triangular base : You can calculate that using trigonometry: Length * Triangular base area given two angles and a side between them (ASA) You can calculate the area of a triangle easily from trigonometry: ![]() ![]() Length * Triangular base area given two sides and the angle between them (SAS) If you know the lengths of all sides, use the Heron's formula to find the area of the triangular base: Length * Triangular base area given three sides (SSS) It's this well-known formula mentioned before: Length * Triangular base area given triangle base and height Our triangular prism calculator has all of them implemented. A general formula is volume = length * base_area the one parameter you always need to have given is the prism length, and there are four ways to calculate the base - triangle area. In the triangular prism calculator, you can easily find out the volume of that solid. ![]()
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