This document provides information about pyramids, including their parts and formulas for calculating their surface areas. It defines a pyramid as a polyhedron with a polygonal base and triangular sides meeting at a common vertex. The base is the bottom side and lateral faces are any non-base sides. Surface area of a pyramid can be calculated as the sum of the base area and total area of the lateral faces. The document provides examples of calculating surface areas for different types of pyramids and asks students to practice solving surface area problems. It concludes with assigning homework on calculating surface areas of pyramids and reading about surface areas of cones.

1. PRESENTER

2. IDENTIFY ME
• Base
• Lateral face
• Apex
• Slant height
http://www.mathopenref.com/pyramid.html

3. MATCH US
Term
a. Pyramid
b. Base
c. Lateral face
d. Apothem
e. Area
f. Surface area
Definition
A polyhedron
having a polygonal
base and triangular
sides with a
common vertex
The bottom side
from which the
altitude can be
constructed
Any side which is
not part of the
base
A perpendicular
line from the center
of a regular
polygon to one of
its sides
The number of
square units inside
the polygon
The total area of an
objects surface

4. A POLYHEDRON HAVING A POLYGONAL BASE AND
TRIANGULAR SIDES WITH A COMMON VERTEX

5. THE BOTTOM SIDE FROM WHICH THE ALTITUDE CAN BE
CONSTRUCTED

6. ANY SIDE WHICH IS NOT PART OF THE BASE

7. A PERPENDICULAR LINE FROM THE CENTER OF A
REGULAR POLYGON TO ONE OF ITS SIDES

8. THE NUMBER OF SQUARE UNITS INSIDE THE POLYGON

9. THE TOTAL AREA OF AN OBJECTS SURFACE

10. MATCH US
Pyramid
Base
Lateral face
A polyhedron
having a polygonal
base and triangular
sides with a
common vertex
The bottom side
from which the
altitude can be
constructed
Any side which is
not part of the
base
A perpendicular
line from the center
of a regular
polygon to one of
its sides
The number of
square units inside
the polygon
The total area of an
objects surface
Apothem
Area
Surface area

11. GENERAL FORMULA

12. SA=BA+LA
SURFACE AREA = BASE AREA + TOTAL AREA OF THE LATERAL FACES

13. SOLVE FOR THE BASE AREA

14. SOLVE FOR THE TOTAL AREA OF THE LATERAL FACES

15. ADD

16. COMPLETE MATHEMATICAL FORMULA

21. PENTAGONAL

24. ACTIVITY

25. •EXCHANGE PYRAMIDS
•SOLVE

26. •EXCHANGE WITH ANOTHER
PYRAMID
•SOLVE

27. TRIANGULAR
49.5𝑑𝑚2

28. SQUARE
256𝑐𝑚2

29. PENTAGONAL
100𝑐𝑚2

30. QUESTIONS/CLARIFICATIONS

31. QUIZ
Answer before the time runs out.

32. Question no.1
• A tree-guard is constructed
like a pentagonal pyramid.
Find its surface area if the
slant height is 10dm, base
edge of 6dm, and an
apothem of 3dm.

33. Question no.2
• A tower is in the form of a
pyramid whose base is a
square of edge 18m and
has a height of 120m. Find
its lateral area.

34. Question no.3
• The three pyramids of Giza were
built as regular square pyramids.
The pyramid in the middle is the
Chephren’s Pyramid and when it
was built, its base edge was 707
¾ feet, and a height of 471 feet.
Find the surface area of
Chephren’s Pyramid, Including
the base, when it was built.

35. PASS YOUR PAPERS

36. HOMEWORK – USE YOUR MATH NOTEBOOK
A. Solve:
 A tepee is constructed by using 12 poles. The construction leads to regular pyramid with a
dodecagon for the base. With the base as shown, and knowing that the altitude of the tepee of
15 feet, find its surface area. (The length of the apothem is 7.5 feet.)
B. Advance reading on surface area of cones.
 Guide Questions:
 What are the parts of a cone?
 How to solve for the surface area of a cone?