11.3 SA of pyramids + cones.notebook
March 30, 2017
3/30/17 - Warm Up Problem
Use the triangular prism to find each measure.
1. hypotenuse of the triangle
3
cm
3
cm
2. Base area
3. Perimeter of the base
4. Surface Area
10 cm
11.3 SA of pyramids + cones.notebook
March 30, 2017
Section 11.3 - Surface Area of Pyramids and Cones
Goals: differentiate between height and slant height of pyramids
and cones and calculate total surface area
Pyramid: a polyhedron in which the base is a polygon and
the lateral faces are triangles with a common vertex
called the vertex of the pyramid
11.3 SA of pyramids + cones.notebook
March 30, 2017
Parts of a Pyramid
height
Calculate the slant height.
l
5 m
8 m
11.3 SA of pyramids + cones.notebook
March 30, 2017
Lateral Area = the sum of
the areas of the 4 lateral
faces (triangles)
Surface Area = the sum of
the areas of the 4 lateral
faces and the base
11.3 SA of pyramids + cones.notebook
March 30, 2017
Surface Area of a Pyramid
SA = B + ½Pl
l = slant height
B = Base area P = Perimeter of base 11.3 SA of pyramids + cones.notebook
March 30, 2017
Calculating Surface Area
1. Find B and P
2. Find the slant height
3. Fill in SA formula
SA = B + ½Pl
9 m
12 m
11.3 SA of pyramids + cones.notebook
If the pyramid is 70 feet
high and measures 115 feet
on each side, what is its
surface area?
SA = B + ½Pl
March 30, 2017
11.3 SA of pyramids + cones.notebook
March 30, 2017
SA of Cones
What part of the
pyramid surface area
formula would have to
change for the formula
to work on cones?
11.3 SA of pyramids + cones.notebook
March 30, 2017
Surface Area of a Cone
2
SA = πrl + πr
slant radius
height
h
11.3 SA of pyramids + cones.notebook
March 30, 2017
Calculate the surface area of the cone.
2
SA = πrl + πr
8
6
11.3 SA of pyramids + cones.notebook
March 30, 2017
This giant glass cone
is
part of the roof ofthe
MelbourneCentral
Shopping Centre. Ithas a
radius of about100 feet,
and its slant height is 189
feet. What is the surface
area of the cone?
11.3 SA of pyramids + cones.notebook
March 30, 2017
Assignment:
9.3 Worksheet