The document discusses how to calculate the surface area of pyramids and cones. It provides the formulas to find the lateral area and total surface area of each shape. For pyramids, the lateral area is found by calculating the area of each face, and the total surface area is the lateral area plus the area of the base. For cones, the lateral area is calculated as πrl, and the total surface area is the lateral area plus the area of the circular base. Two examples are provided to demonstrate finding the lateral and surface areas of specific pyramid and cone.

1. Surface Area
The student is able to (I can):
• Calculate the surface area of pyramids and cones

2. To find the lateral area of the pyramid, find the area of each
of the faces.
Perimeter of base
slant
height
(ℓ)

3. To find the lateral area of the pyramid, find the area of each
of the faces.
Perimeter of base
slant
height
(ℓ)
1
2
L P= ℓ
For the total surface area, add the
area of the base.
S = L + B

4. Likewise, for a cone, the lateral area is
( )
1
2
2
L r r= π = πℓ ℓ
and the total surface area is
2
S L r= + π

5. Examples: Find the lateral and surface area of the following:
1.
2. 8 in.
20 in.
5 m
5 m

6. Examples: Find the lateral and surface area of the following:
1.
2. 8 in.
20 in.
5 m
5 m
2
2
8 3
6
4
96 3 in
B
 
=  
 
=
2
1
[(6)(8)](20)
2
480 in
L =
=
2
2
480 96 3 in
646.3 in
S = +
≈
5 2 m
2
(5)(5 2)
25 2 m
L = π
= π
2
2
25 2 25 m
189.6 m
S = π + π
≈