surface area the sum of the area of all the faces of a polyhedron

Surface Area

The sum of the area of all the faces of a polyhedron

Prism A polyhedron with exactly two congruent, parallel faces

called bases. Any other faces are the lateral faces.

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

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

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

Find the Surface Area of Each Prism

4 in

5 in8 in.7 ft

3 ft 10 ft

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.

Lateral Area: The area of the “curved surface”.

Circumference of Circle

Height of Cylinder

FORMULA FOR SURFACE AREA OF A CYLINDER

the surface area of a cylinder is 2πr2 + (2πr)h

Find the Surface Area of each Cylinder.

2 cm

8 cm 16 in

11 in

Surface Areas of Pyramid

Find the value of each in order to find surface area

Perimeter of Base:

Area of Base:

Height:

Slant Height:

14

14

24

Determine the surface area of the pyramid below

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.

Lateral area: an ice cream cone

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

+

Find the surface area of each cone

15 cm

25 cm

26 in

22 in

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SURFACE AREA OF◦PRISMS◦CYLINDERS◦PYRAMIDS◦CONES