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.
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
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
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
? feet, and a height of 471 feet.
Find the surface area of
Chephren¡¯s Pyramid, Including
the base, when it was built.
36. HOMEWORK ¨C 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?
Editor's Notes
Group into 3
Give pyramids
Show the different pyramids and parts
Also use the pyramids
Now look at the activity sheets given. As you see, it has a pyramid with its dimensions.
Applying the general formula, lets solve for the following.
Don¡¯t let the students tell the answer, because they will still solve the others
Don¡¯t let the students tell the answer, because they will still solve the others
Don¡¯t let the students tell the answer, because they will still solve the others
From what you have just done, let¡¯s now try to write the complete mathematical formula of each pyramid
Solve the other two pyramids in the other groups
3 minutes each