1. Chapter 9 9.3: Surface Area and Volume of Pyramids
Geometry
Chapter 9
9.3: Surface Area and Volume of Pyramids

2. Parts of a Pyramid Base: polygon Lateral faces: triangles
Vertex: where all ‘s meet
Base edge: where and base meet
Lateral edge: intersection of 2
Altitude: perp segment from base to vertex
Height: length of altitude

3. Regular Pyramid: base is regular polygon
Slant height: altitude of lateral face

5. Surface Area of a Regular Pyramid:
7.3 Surface Area and Volume of Pyramids
Surface Area of a Regular Pyramid:
S = 1 2
lp + B .
B=base area
p= perimeter
l= slant height

7. Volume of a Pyramid : 1 3 Bh
V = .
H=height
B=base area

8. Key Skills Find the surface area of a regular pyramid. S = lp + B 1 2
7.3 Surface Area and Volume of Pyramids
Key Skills
Find the surface area of a regular pyramid.
S = 1 2
lp + B

9. Key Skills Find the volume of a regular pyramid. V = Bh 1 3 TOC
7.3 Surface Area and Volume of Pyramids
Key Skills
Find the volume of a regular pyramid.
V = 1 3 Bh
TOC

11. If the surface area of the pyramid is 180 cm, find x.

12. The surface area of a square pyramid
is 864 m, if the slant height is 15m and the
height is 12 m, what is the length of each
side of the base?