1. 11.4 Vocabulary Polyhedron Prism, Pyramid, Cylinder, Cone, Sphere
lateral face/lateral edge
base/base edge
vertex
altitude
cross section
solid of revolution
axis or revolution

2. A polyhedron is formed by four or more polygons that intersect only at their edges. Prisms and pyramids are polyhedrons, but cylinders, cones and spheres are not.

4. Prisms and Pyramids are named by their base(s):

9. 11.4 Supplemental
The following materiel is not in section 11.4 of the textbook. Parts of this materiel are included in sections 11.5/6/7. You are responsible for this supplemental information.
Vocabulary:
Right/Oblique (Prisms-Pyramids-Cones)
Surface Area
Lateral Surface Area
Base Area

10. Prisms and cylinders have 2 congruent parallel bases.
A lateral face is not a base. The edges of the base are called base edges. A lateral edge is not an edge of a base. The lateral faces of a right prism are all rectangles. An oblique prism has at least one nonrectangular lateral face.

11. Surface area is the total area of all faces and curved
An altitude/height of a prism or cylinder is a perpendicular segment joining the planes of the bases. The height of a three-dimensional figure is the length of an altitude. h
Surface area is the total area of all faces and curved
surfaces of a three-dimensional figure. The lateral
area of a prism is the sum of the areas of the lateral pieces.

12. Right Prisms and Cylinders: Flat-Tops
Rt Cylinder
Lateral Surface Area: L = Ph
P is the Perimeter of the Base, h is the height
Surface Area: S = L + 2B
B is Area of the Base

13. Example 1A: Prisms
Find the lateral area and surface area of the right rectangular prism. Round to the nearest tenth, if necessary.
Note: Always draw the base to find P and B

14. Example 2A: Right Cylinder
Find the lateral area, and surface area of the right cylinder. Give your answers in terms of .

15. Find the lateral area and surface area of each figure
Find the lateral area and surface area of each figure. Round to the nearest tenth, if necessary.
1. a cube with edge length 10 cm
2. a regular hexagonal prism with height 15 in. and base edge length 8 in.
3. a right cylinder with base area 144 cm2 and a height that is the radius
L = 400 cm2 ; S = 600 cm2
L = 720 in2; S  in2
L  cm2; S = cm2

16. Right Pyramids and Cones: Pointy-Tops
Right Cone l r h
Lateral Surface Area: L = ½ Pl
P is the Perimeter of the Base, l is the Slant Height
Surface Area: S = L + B
B is Area of the Base

17. Triangles “In” Pyramids

18. Given a square base pyramid, h = 12, l = 13, s = 10,
find L, and S
Find L, and S of the cone with r = 8, slant height = 10.