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Exploring Surface Area of Pyramids and Cones

Learn the definitions and formulas for calculating the surface area of pyramids and cones. Understand the concepts of altitude, slant height, and lateral faces. Practice solving examples to master the topic.

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Exploring Surface Area of Pyramids and Cones

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  1. 11-3 Surface Area of Pyramids and Cones

  2. Definitions • A pyramid is a polyhedron consisting of a single base which is a polygon, and lateral faces which are triangles that meet at a single point called the vertex. • The altitude (height) of the pyramid is the perpendicular distance from the vertex to the base. • The slant heightis the height of one of the lateral faces.

  3. Right and Oblique slant height right oblique

  4. Cones • Acone is like a pyramid but the base is a circle. • The slant heightof a cone is the distance up a side of the cone. slant height

  5. Lateral Area and Surface Area for Pyramids and Cones Half the perimeter times the slant height Lateral area plus the area of the base

  6. Example • Find the surface area of the square pyramid 4cm 32+42=c2 l=5 6cm

  7. Example • Find the surface area of the square pyramid 4cm 32+42=c2 l=5 6cm

  8. Example • Find the surface area of the square pyramid 4cm 32+42=c2 l=5 6cm

  9. Today's Assignment • p. 620 # 1-13, 16-20

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