All the other versions may be calculated with our triangular prism calculator. 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).Answers will be the same whether in feet, ft. Units: Units are shown for convenience but do not affect calculations. Height is calculated from known volume or lateral surface area. Surface area calculations include top, bottom, lateral sides and total surface 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 : This calculator finds the volume, surface area and height of a triangular prism. You can calculate that using trigonometry: If you want to calculate the volume of a triangular prism, all you have to do is find the area of one of the triangular bases and multiply it by the height. 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) The formula to find the volume of a triangular prism is, Volume base area length of the prism, which shows the relationship between the area of a. Step 2: Find the volume of the prism by plugging the values found in step 1 into the formula for the volume of a triangular prism: V. If you know the lengths of all sides, use the Heron's formula to find the area of the triangular base: Step 1: Identify the given dimensions of the triangular prism. 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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