#Find surface area of prism how to

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 Thankfully there is a formula for finding the surface area of a right prism that makes our calculations fast and efficient, as seen below. You can calculate the area of such a triangle using the trigonometry formula: To find the surface area of a prism, we must add the area of each face. 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 Learn more about its types and formula for volume and area of pentagonal prisms here. Where a, b, c are the sides of a triangular base A pentagonal prism is known as five-sided polygon prism that has two pentagonal bases like top and bottom and five rectangular sides with 7 faces, 10 vertices and 15 edges. 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 In the accompanying classroom activity, students do two. If they give you two sides and an angle between them In this video, watch an animated demonstration of finding the surface area of triangular prisms. For any other similar values, use this prism calculator to verify the results.

#Find surface area of prism how to

By click on the corresponding problem shows the step-by-step calculation or work with steps for how to find the volume and surface area of prism.

Input all three sides wherever you want (a, b, c). The step by step workout for how to find what is the volume and surface area of a rectangular prism.

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: