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When studying three-dimensional shapes in geometry, understanding the concepts of volume and surface area is crucial. Two common shapes often compared are pyramids and prisms. This exploration delves into the relationship between the volumes of pyramids and prisms, specifically focusing on why the volume of a pyramid is one-third that of a prism with the same base and height.

In conclusion, the volume of a pyramid is consistently one-third the volume of a prism sharing the same base and height. This fundamental geometric principle is essential for various mathematical calculations and real-world applications. By understanding the formulas and the underlying relationship between these shapes, we can solve for unknown volumes and gain a deeper appreciation for the elegance of geometric principles.