Volume of Pyramids & Cones | Geometry

In this Geometry lesson, we learn how to find the *volume of pyramids and cones* and connect these formulas to the volume formulas for prisms and cylinders. The big idea is simple: a pyramid or cone with the same base area and height as a corresponding prism or cylinder has **one-third of the volume**. *After watching this lesson, you should be able to:* Identify the base and perpendicular height of a pyramid or cone. Find the area of the base. Use V=1/3Bh to find the volume of a pyramid. Use V=1/3π r^2h to find the volume of a cone. Explain why the factor 1/3 appears in these formulas. Solve volume problems involving pyramids and cones. Report volume using appropriate cubic units. *Key Vocabulary:* Volume • Pyramid • Cone • Base • Height • Radius • Base Area • Cubic Units *Important Formulas:* Pyramid: V=1/3Bh where B represents the **area of the base**. Cone: V=1/3π r^2h because π r^2 is the area of the circular base. *Important Connection:* Prism or Cylinder: V=1/3Bh Pyramid or Cone: V=1/3π r^2h A pyramid or cone has *one-third the volume* of a prism or cylinder with the same base area and height. 📓 *While Watching:* Complete the notes and examples in your Geometry notebook. Pause the video whenever you reach a problem to try on your own and solve it before watching the solution. *Remember:* Volume measures the amount of space inside a three-dimensional figure, so answers are expressed in **cubic units**.