![]() ![]() TSA 2 × BA + n × area of one rectangular face. For a regular right prism, we have the following equations, TSA 2 × BA + LSA. The surface area of the prism is the sum of the areas. In general, the lateral surface area of a prism is equal to the product of the length of the prism and the perimeter of its base. All the other cases can be calculated with our triangular prism calculator. To calculate the surface area of the triangular prism, calculate the area of each face and then add them together. The only case when we can't calculate triangular prism area is when the area of the triangular base and the length of the prism are given (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. The volume of any prism is obtained by multiplying its base area by its length. It is measured in cubic units such as cm 3, m 3, in 3, etc.We will see the formulas to calculate the volumes of different types of triangular prisms. area = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area) The volume of a triangular prism is the space inside it or the space occupied by it.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 the altitude of the triangle and the side upon which it is dropped 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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