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 The surface area S 2A (Base) + 'Lateral Surface Area' A (trapezoid) A (Base) h/2 (a + b) L 'Lateral Surface Area' the sum of the areas of each surface around the Base. This can be calculated using the Heron's formula:īase area = 0.25 × √, Explanation: Given: a trapezoidal prism The base of a prism is always the trapezoid for a trapezoidal prism. 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.On the other hand, the lateral surface area refers to the area of the sides of a shape, excluding its base and top area. If you're given 2 angles and only one side between them The surface area of this can be calculated by considering the base area and lateral surface area. In other words, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. 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:

Lateral surface area of a prism formula