Now, try the triangular prism surface area calculator to find the surface area of the following triangular prisms.ġ) Sides of a triangle 4,5 and 6 units, the triangle base is 7 units, the height of the triangle is 8 units, and the height of the prism is 9 units.Ģ) Sides of a triangle 3,5 and 7 units and the triangle base is 5 units, the height of the triangle is 8 units, and the height of the prism is 11 units. Therefore the surface area of a triangular prism is 60 square units. Surface area of the triangular Prism = (2 × base area of a triangle) + (perimeter of the base × height of the prism) let a,b, and c are sides of a triangle and triangle base be 'b', the height of triangle be 'h' and height of prism be 'H'. How to Find the Surface Area of a Triangular Prism?Ī prism is defined as a 3-dimensional solid object which has identical ends, flat faces, and the same cross-section all along its length.The surface area of the triangular prism is the sum of the base area and lateral faces. Step 3: Click on " Reset" to clear the field and enter the new values.Step 2: Click on " Calculate" to find the surface area of the triangular prism.Step 1: Enter the values of the side of the triangle, triangle base, the height of the triangle, and the height of the prism.How to Use the Triangular Prism Surface Area Calculator?įollow these steps which will help you to use the calculator. NOTE: The input values are limited to three digits. A triangular prism is defined as a three-dimensional shape, having its bases as triangles Triangular Prism Surface Area Calculator A triangular prism is a polyhedron which has the triangular base. Input the side of the base triangle and the height of the prism to solve your calculations within a few seconds. In general surface area is defined as the total area the surface of the object occupies. A triangular prism is defined as a three-dimensional shape, having its bases as triangles What is a Triangular Prism Surface Area Calculator? A prism is defined as a 3-dimensional solid object which has identical ends, flat faces, and the same cross-section all along its length. ' Triangular Prism Surface Area Calculator' is an online tool that calculates the surface area of a triangular prism with the given dimensions. In this particular case, we're using the law of sines. Here's the formula for the triangle area that we need to use:Īrea = a² × sin(Angle β) × sin(Angle γ) / (2 × sin(Angle β + Angle γ)) We're diving even deeper into math's secrets! □ In this particular case, our triangular prism area calculator uses the following formula combined with the law of cosines:Īrea = Length × (a + b + √( b² + a² - (2 × b × a × cos(Angle γ)))) + a × b × sin(Angle γ) ▲ 2 angles + side between You can calculate the area of such a triangle using the trigonometry formula: Now it's the time when things get complicated. We used the same equations as in the previous example:Īrea = Length × (a + b + c) + (2 × Base area)Īrea = Length × Base perimeter + (2 × Base area) ▲ 2 sides + angle between Where a, b, c are the sides of a triangular base This can be calculated using the Heron's formula:īase area = 0.25 × √, We're giving you over 15 units to choose from! Remember to always choose the unit given in the query and don't be afraid to mix them our calculator allows that as well!Īs in the previous example, we first need to know the base area. Choose the ▲ 2 angles + side between optionĢ.If you're given 2 angles and only one side between them If they give you two sides and an angle between them Input all three sides wherever you want (a, b, c).If they gave you all three sides of a triangle – you're the lucky one! You can input any two given sides of the triangle – be careful and check which ones of them touch the right angle (a, b) and which one doesn't (c).You need to pick the ◣ right triangle option (this option serves as the surface area of a right triangular prism calculator).If only two sides of a triangle are given, it usually means that your triangular face is a right triangle (a triangle that has a right angle = 90° between two of its sides). Find all the information regarding the triangular face that is present in your query:
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