12.3SAPyramidsAndCones.notebook
April 06, 2017
12.3 - Surface Area of Pyramids and Cones
Cone
l = slant height
A cone has a
circular base
with a vertex
that is not in the
same plane as
the base
Yes, there is ANOTHER height!!!!
height .... of prism, pyramid, cylinder or cone
height .... of the base of a prism or pyramid
slant height ... height along the lateral face of a pyramid or cone
slant height forms a RIGHT TRIANGLE with the
radius of the circle and the height of the cone
Pythagorean theorem!
1
12.3SAPyramidsAndCones.notebook
April 06, 2017
Find the LA and SA of the cones
1.
2.
2
12.3SAPyramidsAndCones.notebook
April 06, 2017
Pyramid
A polyhedron with a
polygon base (names
the type of pyramid)
and lateral faces are
triangles with a
common vertex
Square Pyramid
l = slant height
sla
nt
he
igh
t
*pyramids can have any base - we will only use
bases that are equilateral to find surface area*
B = AREA of the base
p = PERIMETER of the base
3
12.3SAPyramidsAndCones.notebook
April 06, 2017
Find the lateral area and surface area of the pyramids (all
bases are regular polygons)
3.
4.
4
12.3SAPyramidsAndCones.notebook
5.
April 06, 2017
6.
5
12.3SAPyramidsAndCones.notebook
April 06, 2017
All bases are regular. Round to the nearest hundredth
1.
3.
2.
4.
6