1. Chapter 11 Surface
Area and Volume
11.3 and 11.5
S

2. Essential Understanding
S To find the surface area of a 3D figure, find the sum of
the areas of all the surfaces of the figure
S The volume of a pyramid is related to the volume of a
prism with the same base and height
S The volume of cone is related to the volume of a cylinder
with the same base and height

3. Objectives
S Students will be able to
S Find the surface area of a pyramid and a cone
S Find the volume of a pyramid and of a cone

4. Pyramids
S Pyramid: polyhedron in which one face (the base) can be any
polygon and the other faces (lateral faces) are triangles
S Vertex: top of pyramid
S Slant height: length of the altitude of a lateral face of the pyramid
S Assume a pyramid is a regular pyramid unless otherwise stated

5. LA and SA of Pyramids
S Lateral Area (LA): sum of the areas of the
congruent lateral faces
S Half the product of the perimeter and the
slant height
S LA = ½ pl
S Surface Area (SA): add the area of the base
to the lateral area.
S SA = LA + B
S SA = ½ pl + B
S When the slant height is not given you must
find it first in order to find the LA or the SA

6. What is the Surface Area

7. What is the lateral area?

10. Volume of a Pyramid
S V = 1/3 Bh

13. Cone
S Base is a circle
S Right Cone: altitude is a perpendicular segment form the
vertex to the center of the base
S Height is the altitude
S Slant Height: distance from the vertex to a
point on the edge of the base

14. LA and SA of a Cone
S Lateral Area (LA): half the product of the circumference of
the base and the slant height
S ½ * 2πr * l =
S πrl
S Surface Area (SA): sum of the lateral area and the base
S LA + B
S πrl + πr2

15. What is the surface area in
terms of pi?

18. Volume of a Cone
S V = 1/3Bh
S V = 1/3 π r2 h

21. Homework
S Pg. 713
S #10 – 22 even, 28 (8 problems)
S Pg. 729
S #6 – 18 even, 30 (8 problems)
S 16 problems total