surface area the sum of the area of all the faces of a polyhedron
DESCRIPTION
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). - PowerPoint PPT PresentationTRANSCRIPT
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