How to Calculate the Volume of Solid Figures

Sheena Doria

This educational video serves as a comprehensive guide to calculating the volume of common three-dimensional geometric figures. It covers rectangular prisms, pyramids, cubes, cylinders, cones, and spheres. The narrator systematically breaks down each shape, defining volume as the amount of space inside a solid figure and distinguishing it from area. The video uses a clear, step-by-step approach to derive formulas, often showing the relationship between shapes, such as how three pyramids fit inside a prism of equal dimensions. The core themes of the video are geometric measurement, formula application, and spatial reasoning. It emphasizes the concept of "cubic units" as the building blocks of volume, providing a visual demonstration where unit cubes are stacked to fill a rectangular prism. This visualization helps bridge the gap between abstract formulas and concrete understanding. The video also highlights the mathematical relationships between corresponding shapes (prisms vs. pyramids, cylinders vs. cones), helping students memorize formulas through logical connection rather than rote memorization. For educators, this video is an excellent resource for middle school math geometry units. It models the precise procedure for substituting values into variables (length, width, height, radius) and solving equations using the correct order of operations. The clear visual aids, including 3D animations and color-coded dimensions, make it suitable for introducing new concepts or reinforcing prior learning. It can be used as a flipped classroom resource, a review tool before a test, or a direct instructional aid during a lesson on 3D measurement.