![]() ![]() Hence, the formula to calculate the surface area is: It is the sum of the areas of all the faces of the prism. The surface area of a triangular prism is the area that is occupied by its surface. A brief explanation of both is given below along with the formula. There are two important formulae of a triangular prism which are surface area and volume. ![]() A right triangular prism has 6 vertices, 9 edges, and 5 faces. In other words, the angle formed at the intersection of triangle and rectangle faces should be 90 degrees, therefore, the triangular faces are perpendicular to the lateral rectangular faces. Any cross-section of a triangular prism is in the shape of a triangle.Ī right triangular prism is a prism in which the triangular faces are perpendicular to the three rectangular faces.The two triangular bases are congruent to each other.It is a polyhedron with 3 rectangular faces and 2 triangular faces.A triangular prism has 5 faces, 9 edges, and 6 vertices.Listed below are a few properties of a triangular prism: The properties of a triangular prism help us to identify it easily. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The bases are also called the top and the bottom (faces) of the prism. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. In this particular case, we're using the law of sines.A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. 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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