![]() Triangular Prism Formulas in terms of height and triangle side lengths a, b and c: Volume of a Triangular Prism Formulaįinds the 3-dimensional space occupied by a triangular prism. Answer and Explanation: 1 b 9 and height h 8.5 along with a length of l 6 we will have a volume of. Significant Figures: Choose the number of significant figures or leave on auto to let the calculator determine number precision. Answers will be the same whether in feet, ft 2, ft 3, or meters, m 2, m 3, or any other unit measure. 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. This calculator finds the volume, surface area and height of a triangular prism. Figure out the volume of a triangular prism by plugging in the area of the triangular cross-section and length expressed as integers in the formula V Area of the triangular cross-section length. ![]() It's a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles. This is the same area as the bottom surface area. From there, we’ll tackle trickier objects, such as cones and spheres. We’ll start with the volume and surface area of rectangular prisms. V 1 4 h ( a + b + c) ( b + c a) ( c + a b) ( a + b c) Top Surface Area of a Triangular Prism Formula Finds the area contained by the triangular surface at the top of the prism. Volume and surface area help us measure the size of 3D objects. All the other versions may be calculated with our triangular prism calculator.B = side length b = bottom triangle base bĪ lat = lateral surface area = all rectangular sidesĪ bot = bottom surface area = bottom triangleĪ triangular prism is a geometric solid shape with a triangle as its base. Volume of a Triangular Prism Formula Finds the 3-dimensional space occupied by a triangular prism. 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). How to calculate the volume of a triangular prism You need to take or know (from a plan/schematic) three length measurements. ![]() 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) The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: So, you need to know just three measures: height, base, and length, in order to calculate the volume. 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. ![]()
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