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9.3: Surface Area of
Pyramids and Cones
Geometry
Name:____________________________
Pyramid:
Height of a pyramid:
Slant Height of a pyramid:
Example 1: Find the slant height of the pyramid. Round your answer to the nearest whole
number.
a.
b.
Try: Find the slant height of the pyramid. Round your answer to the nearest whole number.
Surface area of a pyramid
Surface area
=
(area of the base) + area of the lateral faces
=
(
=
)+(
=
)∙
+
Surface Area of a Pyramid:
S=
Example 2: Find the surface area of the pyramid.
a.
b.
Try: Find the surface area of the pyramid.
a.
b.
Surface Area of a Cone
Height of a cone:
Surface area
Slant Height of a cone:
=
(area of the base) + area of the sector
=
(
)+(
)∙
Surface Area of a Cone:
S=
Example 3: Find the approximate surface area of the cone to the nearest whole number.
a.
b.
Try: Find the approximate surface area of the cone to the nearest whole number.
Homework: pg. 495: #9-22 all, 23 – 27 odds