How to Calculate the Volume of Triangular Prisms: 4 Methods

The Organic Chemistry Tutor

This educational video provides a comprehensive tutorial on calculating the volume of triangular prisms, progressing from basic to advanced scenarios. The instructor demonstrates that the fundamental formula for volume is the area of the base multiplied by the height of the prism (V = Bh), but emphasizes that finding the area of the base triangle can require different mathematical methods depending on the information given. The video works through four distinct example problems, each introducing a new level of complexity involving different geometric concepts. The tutorial covers four specific methods for finding the triangular base area: (1) using the standard 1/2 * base * height formula; (2) using the Pythagorean theorem to find a missing height in a right triangle; (3) using the special area formula for equilateral triangles involving square roots; and (4) applying Heron's Formula when only the three side lengths of the triangle are known. The instructor uses a digital whiteboard to draw diagrams and write out calculations step-by-step. This resource is highly valuable for middle and high school geometry classrooms as it connects multiple mathematical concepts into single problems. It reinforces not just volume calculation, but also the Pythagorean theorem, properties of special triangles, and advanced area formulas like Heron's Formula. Teachers can use this video to differentiate instruction, assigning specific segments to students based on their readiness level, or use the advanced examples as extension activities for students who have mastered the basics.