Section 12.3
Surface Area
of
Pyramids
and
Surface Area
of
Cones
Pyramid Review...
* Polyhedron
* Base is a polygon
* Lateral faces are triangles
with a common vertex
Regular Pyramid:
* Regular polygon for a base
* Lateral Faces are congruent
isosceles triangles
Find the surface area of the regular pentagonal pyramid
using a net.
17
8
11.62
Surface Area of a Regular Pyramid Formula
S = B +
Area of
the Base
1
2
Pl
Perimeter
Slant
of the Base
Height
Base Area + Lateral Areas
Find the area of each lateral face of the Regular Pyramid.
Find the Surface Area & Lateral Area of the Regular Pyramid.
7.5
5
A regular pyramid has an octagonal base with a base edge
length of 8 yd and a slant height of 12 yd. Find the surface
area.
Cones: Circular base & a vertex
Net of a cone
Arc Length
Area of Sector
=
Area of Circle
Circumference of Circle
Arc Length
Area of Sector
=
Area of Circle
Circumference of Circle
Area of Sector
2πr
=
2πL
πL2
2πr . 2
πL
Area of Sector =
2πL
Area of Sector = πrL
Θ
=
360
Surface Area of a Right Cone Formula.
2
S = ∏r + ∏rl
Slant
Radius
Height
Base Areas + Lateral Areas
Find the Surface Area & Lateral Area of the Right Cone.
8.5
11
7
Find the Surface Area & Lateral Area of the Right Cone.
6
4
The surface area of a right cone is 453 u2.
The radius is 11 u, find the slant height.
Find the Surface Area of the solid.
The cone & cylinder are right.
Find the Surface Area of the solid.
The pyramid is regular & the prism is a cube.