How to Calculate Surface Area of Triangular Prisms

The Organic Chemistry Tutor

This educational video provides a comprehensive tutorial on calculating the lateral area and total surface area of triangular prisms. Through three distinct examples of increasing complexity, the instructor demonstrates step-by-step methods for solving geometry problems involving 3D shapes. The video covers standard cases where dimensions are given, intermediate cases requiring the Pythagorean theorem to find missing side lengths, and advanced cases utilizing Heron's formula. The content explores key geometric concepts including perimeter calculation, area of triangles, and the distinction between lateral area (the area of the vertical faces) and total surface area (including the bases). It specifically addresses how to handle different types of triangular bases—standard, isosceles, and scalene—and introduces essential formulas like $LA = pH$ and Heron's formula for finding the area of a triangle given only side lengths. This resource is highly valuable for middle and high school geometry classrooms. It serves as an excellent tool for direct instruction, review, or remediation. The clear, handwritten visual style allows students to follow the mathematical logic in real-time. Teachers can use specific segments to differentiate instruction: using the first example for basic learners, the second for those practicing the Pythagorean theorem, and the third for advanced students ready for Heron's formula.