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) A right triangular prism has rectangular sides, otherwise it is oblique. 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) 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. 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).Calculator Use This calculator finds the volume, surface area and height of a triangular prism. It's a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles. 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 : A triangular prism is a geometric solid shape with a triangle as its 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. If the cross-section has the shape of a triangle it is called a triangular prism. In the triangular prism calculator, you can easily find out the volume of that solid. A prism whose cross-section is a square is called a square prism.
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