![]() 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)) A prism is a solid shape that has the same cross-section all the way through. 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 The volume of any prism is equal to the product of its cross section (base) area and its height (length). 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). The base of the triangle is 2cm 2cm and the height of the triangle is 3cm 3cm. 2 Calculate the area of the triangular cross-section and substitute the values. Volume of a triangular prism Area of triangular cross section x length. ![]() Example 2: If the height of the prism is 4cm and the length of the side of the equilateral triangular base is 6cm. Work out the volume of this triangular prism. Solution: Volume of Triangular Prism × b × h × l. Find all the information regarding the triangular face that is present in your query: Example 1: Find the volume of the triangular prism with base is 5 cm, height is 10 cm, and length is 15 cm. ![]()
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