Section 10 – 4 Surface Area Of Pyramids & Cones Objective: To find the surface area of a Pyramid To find the surface area of a Cone.

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Presentation transcript:

Section 10 – 4 Surface Area Of Pyramids & Cones Objective: To find the surface area of a Pyramid To find the surface area of a Cone

Base Base : A polyhedron with one base & all other faces are triangles that meet at a common vertex Pyramid Pyramid: Any Polygon Lateral Faces Lateral Faces : Triangular Faces Vertex The point at which all the lateral faces (triangles) meet.

Lateral Area: The area of the triangular faces. Surface Area:

Example 1 Finding Surface Area of a Pyramid A) Find the lateral area and surface area of the hexagonal pyramid below.

B) Find the lateral area and surface area of a square pyramid with base edges 5 m and slant height 3 m.

C) Find the lateral area and surface area of a square pyramid with base edges 7.5 feet and slant height 12 feet.

Example 2 Finding Surface Area of a Pyramid Part II A)Find the lateral and surface area of the hexagonal pyramid below. Round to the nearest whole number.

B) The pyramid below models the Great Pyramid, built in Giza, Egypt. Find the lateral area of the Great Pyramid.

C) Find the lateral and surface area of the pyramid below.

HOMEWORK Textbook Page 540; Find Lateral Area & Surface Area for #2, 3, 5, 6, 7, 10

Section 10 – 4 Continued… Objective: To find the surface area of a cone

Base Base : Pointed like a pyramid, but has a circle base Cone Cone: Circle Slant Height : The distance from the vertex to a point on the edge of the circle. Height : The distance from the vertex to the center of the circle.

Lateral Area: The area of the smooth surface. Surface Area:

Example 3 Finding Surface Area of a Cone A)Find the lateral and surface area of the cone in terms of π.

B) The radius of the base of a cone is 22 m. Its slant height is 10 m. Find the lateral and surface area in terms of π.

C) Find the lateral and surface area of the cone in terms of π.

Example 4 Real-World Connection A)The funnel is in the shape of a cone. How much filter paper do you need to line the funnel?

B) Find the lateral area and surface area of a cone with radius 15 in. and height 20 in.

C) Leeann uses paper cones to cover her plants in the early spring. The diameter of each cone is 1 foot, and its height is 1.5 feet. How much paper is in the cone?

Ticket Out Find the lateral and surface area of each solid.

10 – 4 Ditto; #2 – 12 Even & hexagonal pyramids on back.