1. Cones and Pyramids

2. What are cones and pyramids? A pyramid is a polyhedron with one base – A polyhedron is a solid with flat surfaces that are shapes A cone has one circular base and a vertex connected by a curved side

3. Volume of Cones and Pyramids The volume of a cone or pyramid is one-third the volume of a prism or cylinder with the same base – Remember that volume is reported in cubic units – Use the same formula for prisms and cylinders then divide by 3

4. Finding the Volume of Cones and Pyramids 1)Find the area of the base -Identify the shape of the base -Use the correct area formula 2)Multiply the area of the base by the height 3)Divide the product by 3 -Round to the nearest tenth -Use the given units Find the volume

5. Example Find the volume

6. Guided Practice Find the volume

7. Finding the Surface Area of Cones and Pyramids 1)Find the area of the base -Be sure to use the correct area formula 2)Find the lateral area -Find the perimeter or circumference of the base -Multiply the result by half of the slant height -Slant height is the length up the side of the pyramid or cone -Divide the result by 2 3)Add the area of the base and the lateral area to get the surface area Find the surface area

8. Example Find the surface area

9. Guided Practice Find the surface area