1. Find the lateral area and the 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  1052.6 in2
L  301.6 cm2; S = 1206.4 cm2
GT Geometry 5/1/13 Drill 4.10
• Put hw and a pen on the corner of your desk.

2. 4. A cube has edge length 12 cm. If the edge
length of the cube is doubled, what happens to the surface
area?
5. Find the surface area of the composite figure.
The surface area is multiplied by 4.
S = 3752 m2

3. OBJECTIVE
To define and find the
lateral area, surface
area, and volume of
a regular pyramid
and a cone

4. vocabulary
• base - polygon
• lateral faces - triangles
• vertex - point where lateral
faces meet
• altitude - segment from the
vertex perpendicular to the
plane of the base

5. vocabulary
• pyramid - a polyhedron which
consists of one base and lateral
faces which are triangles
• regular pyramid - base is a
regular polygon

6. vocabulary
• right pyramid - the altitude
intersects the base at its center
• oblique pyramid - the altitude
intersects the base at a point
other then the center

7. vocabulary
• slant height of a pyramid - the
length of an altitude of a lateral
face.

8. Naming a Pyramid
•Pyramids are named
according to the shape of
their bases

10. BASE
Lateral Edge

11. Slant Height

12. Height of the
object

13. formula
The lateral area LA of a right
regular pyramid with slant
height l and perimeter of a base
p is
L = 1/2 l p or
LA = 1/2 l p

14. formula
The surface area SA of a right
regular pyramid is
SA= LA + B or
S = LA + B

15. formula
The volume V of a right regular
pyramid is
V=
B = area of the base
H = height or altitude of the object
BH
3
1

16. How do you find the lateral
area of a cone?
LA = pl
perimeter • slant
height
1
2

17. How do you find the lateral
area of a cone?
How do we
find the
perimeter of a
circle?

18. How do you find the lateral
area of a cone?
How do we find the
perimeter of a circle?
2πr or dπ

19. How do you find the lateral
area of a cone?
LA = 2πrl
perimeter • height
1
2

20. How do you find the lateral
area of a cone?
LA = πrl
perimeter •
height

21. Finding the Surface Area of
a cone
SA= LA + B

22. Finding the Volume of a
cone and pyramid
V = ?BH

23. Finding the Volume of a
cone and pyramid
V = ?BH

24. Finding the Volume of a
cone and pyramid
V = ?BH

25. Finding the Volume of a
cone and pyramid
V = ?BH

26. Finding the Volume of a
cone and pyramid
V = ?BH

27. Finding the Volume of a
cone and pyramid
V = ?BH

28. Finding the Volume of a
cone and pyramid
V = ?BH

29. Finding the Volume of a
cone and pyramid
V = ?BH

30. Finding the Volume of a
cone and pyramid
V = ?BH

31. Finding the Volume of a
cone and pyramid
V = ?BH

32. Finding the Volume of a
cone and pyramid
V = ?BH

33. Classwork( exact)
Find LA,SA, V
cone
radius = 5 cm
height= 12 cm

34. Classwork (exact)
Find LA, SA & V
cone
radius = 3 cm
slant height = 6 cm

35. CLASSWORK
•find lateral and surface
areas
• right regular hexagonal
pyramid
•base edge = 4cm
•slant height = 5cm

36. CLASSWORK
•find lateral and surface
areas
•right regular triangular
pyramid
•base edge = 6cm
•height = 37 cm

37. CLASSWORK
•Find LA & SA
•rectangular pyramid
•base edges =
12cm, 9cm
•height = 12 cm

38. Classwork/Homework
•P 694 #13-22
•P709 #2-12