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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).

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Presentation Transcript
prism
Prism
  • A polyhedron with exactly two congruent, parallel faces called bases.
  • Any other faces are the lateral faces.
find the surface area of each prism
Find the Surface Area of Each Prism

4 in

3 ft

10 ft

5 in

8 in.

7 ft

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

Height of Cylinder

Circumference of Circle

find the value of each in order to find surface area
Find the value of each in order to find surface area

Perimeter of Base:

Area of Base:

Height:

Slant Height:

24

14

14

slide14
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.
create a formula cheat sheet right now
CREATE A FORMULA CHEAT SHEET RIGHT NOW!!!
  • SURFACE AREA OF
    • PRISMS
    • CYLINDERS
    • PYRAMIDS
    • CONES