Bell Ringer 3.notebook
April 29, 2015
Bell Ringer 3
a. Find the surface area of a square pyramid with a base edge of 10 m and a slant height of 13 m.
b. Find the lateral and surface of a square pyramid with base edges of 8 m and an altitude of 6 m.
Homework due Thursday:
12.3: Pg. 859 ­ 862 (8 ­ 56, every 4th, not 36 & 48)
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Bell Ringer 3.notebook
April 29, 2015
Lesson Objectives:
­ Find lateral areas and surface areas of pyramids
­ Find lateral areas and surface areas of cones
Vocab:
12.3:
Regular Pyramid ­ made up of one base that is a regular polygon and the altitude has an endpoint at the center of the base.
slant height ­ the height of each lateral face.
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Bell Ringer 3.notebook
April 29, 2015
Lateral Area of a Regular Pyramid:
L = (1/2)Pl, where l is the slant height
a. Find the lateral area of a square pyramid with side lengths of 4 and a slant height of 6.
b. Find the lateral area of a regular hexagonal pyramid with a base edge of 9 cm and a slant height of 7 cm.
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Bell Ringer 3.notebook
April 29, 2015
Surface Area of a Square Pyramid:
S = (1/2)Pl + B
a. Find the surface area of a square pyramid with base edges of 12 cm and an altitude of 16 cm.
b. Find the surface area of a square pyramid with an altitude of 9 in. and a slant height of 11 in.
c. Find the surface area of a square pyramid with a base edge of 10 m and a slant height of 13 m.
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Bell Ringer 3.notebook
April 29, 2015
Surface Area of a Regular Pyramid:
S = (1/2)Pl + B
a. Find the surface area of a regular hexagonal pyramid with base edges of 5 cm. and a slant height of 8 cm. (Hint: Area of a regular polygon = (1/2)Pa)
b. Find the surface area of a regular pentagon with base edges of 4 in. and an altitude of 7 in.
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Bell Ringer 3.notebook
April 29, 2015
Lateral and Surface Area of a Cone:
L = (pi)rl S = (pi)rl + (pi)r2
a. Given a Cone with a radius of 12 ft. and an altitude of 16 ft. What is the lateral area and surface area?
b. Given a Cone with a diameter of 14.8 cm and a slant height of 15 cm., find the lateral area and surface area.
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