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Surface Area The sum of the area of all the faces of a polyhedron.

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Presentation on theme: "Surface Area The sum of the area of all the faces of a polyhedron."— Presentation transcript:

1 Surface Area The sum of the area of all the faces of a polyhedron

2 Prism A polyhedron with exactly two congruent, parallel faces called bases. Any other faces are the lateral faces.

3 Lateral Area: Sum of the areas of the lateral faces (more than 2 of same shape)

4 Surface Area: Sum of the lateral area and the two bases.

5 http://www.learner.org/interactives/geometry/3d.html

6 Find the Surface Area of Each Prism 4 in 5 in 8 in. 7 ft 3 ft 10 ft

7 Cylinder Has two congruent parallel bases like a prism, but the bases are circles. Altitude of a cylinder is the perpendicular segment that joins the bases. The height (h) of a cylinder is the length of the altitude.

8 Lateral Area: The area of the “curved surface”. Circumference of Circle Height of Cylinder

9 FORMULA FOR SURFACE AREA OF A CYLINDER the surface area of a cylinder is 2 π r 2 + (2 π r)h

10 Find the Surface Area of each Cylinder. 2 cm 8 cm 16 in 11 in

11 Surface Areas of Pyramid

12 Find the value of each in order to find surface area Perimeter of Base: Area of Base: Height: Slant Height: 14 24

13 Determine the surface area of the pyramid below

14 Cone Pointed like a pyramid, but its base is a circle. Altitude, of a right cone, is a perpendicular segment from the vertex to the center of the base. Height (h): the length of the altitude. Slant Height ( s ): the distance from the vertex to a point on the edge of the base.

15 Lateral area: an ice cream cone

16 Surface Area: the sum of the lateral area and the base(circle) +

17

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19 Find the surface area of each cone 15 cm 25 cm 26 in 22 in

20 CREATE A FORMULA CHEAT SHEET RIGHT NOW!!! SURFACE AREA OF ◦ PRISMS ◦ CYLINDERS ◦ PYRAMIDS ◦ CONES


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