![]() All the other versions may be calculated with our triangular prism calculator. This calculator computes a triangular prisms area and volume when the triangle sides and prism height have been input. ![]() 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) The following applet was designed to help you conceptually visualize a triangular prism as you work with it in order to help you calculate its lateral area, total surface area, and volume. 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) Volume = length * 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) ) Prism calculator, formulas & work with steps to calculate volume & surface area of the shape of rectangular & triangle prism, in both US customary & metric (SI) units. 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 The measurements on the triangular prism are in cm therefore the total surface area of the triangular prism 330cm2 330cm2. Our triangular prism calculator has all of them implemented. Total surface area: 30+30+108+45+117330 30 + 30 + 108 + 45 + 117 330 3 Include the units. 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. volume 0.
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