This article has been viewed 298,330 times. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. There are 11 references cited in this article, which can be found at the bottom of the page. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism. David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. Given the length, width and height find the volume, surface area and diagonal of a rectangular prism. When you calculate the lateral surface area, begin with the area of one of the triangular faces.This article was co-authored by David Jia. The base refers to the square shape, therefore: The formula to use is:įrom this, you can split the formula into:Ī = A(base) + A(lateral) = A(base) + 4 * A(lateral face) This is the type of pyramid we will use for this particular surface area calculation. Usually, pyramids usually have a regular polygon base. L refers to one side of the square How to find the surface area of a pyramid?Ī pyramid is a 3D shape with triangular lateral faces and a polygonal base. Therefore, the formula for the surface area of a cube is: The area of the square equals the product of the length of all of its sides. Since the formula for the surface area of a square is: You won’t even need to use a surface area calculator for this. To use this formula, you must first find the base and lateral area using the following equations:Ī(lateral) = h * (2 * π * r) How to find the surface area of a cube?Īmong all of the shapes, the surface area of a cube is the easiest one to find. This formula comes from the equation of a cylinder’s surface area which is: Generally, the formula for the base of a circle is: To solve for the surface area of a cylinder, you need to have two values which are the height and the diameter or radius of the base. When simplified is A = A(lateral) + 2 * A(base) How to find the surface area of a cylinder? Therefore, the final formula to use to find a triangular prism’s surface area is:Ī = h * (a + b + c) + 0.5 * √((a + b + c) * (-a + b + c) * (a – b + c) * (a + b – c)) One of the most common methods is to use Heron’s formula which is typically used when you have the values for all three sides of the triangle. There are several ways to do this depending on the value you have. P refers to the perimeter of the base triangleĪfter this, it’s time to calculate the area of the triangular base. Therefore, the formula is:Ī(lateral) = a * h + b * h + c * h = h * (a + b + c) For this shape, the lateral surface area is quite easy to calculate as it’s made up of 3 rectangles which have one length of the side in common. When simplified is A = 2 * (A1 + A2 + A3) How to find the surface area of a triangular prism?īefore we go to the formula for the surface area of a triangular prism, you must first understand where it’s derived. To find the surface area of a rectangular prism, first perform the calculations to find the areas of the rectangular sides: You can use it to find the surface area of the most common shapes. This is why the surface area calculator is so useful. When you learn how to calculate surface area, this applies to different shapes. How to find the surface area of a rectangular prism?
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