geo.2.18.16.sec.6.5.notebook - west branch high school
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Geo.2.18.16.sec.6.5.notebook February 18, 2016
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Geo.2.18.16.sec.6.5.notebook February 18, 2016
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6.5 Volumes of Pyramids and Cones
OBJECTIVE: Determine the volumes of pyramids and cones.
Geo.2.18.16.sec.6.5.notebook February 18, 2016
http://www.youtube.com/watch?v=OUDjY6vJ8pw
The volume of a pyramid is related to the volume of a prism with the same base and height. The relationship can be verified by dividing a cube into three congruent square pyramids, as shown.
6.5 Volume of Pyramids and Cones
Geo.2.18.16.sec.6.5.notebook February 18, 2016
Find the volume a rectangular pyramid with length 11 m, width 18 m, and height 23 m.
L = PhS = L + 2B
S = Ph + 2B
S cube = 6s2
S =Surface Area
L =
P = perimeter of baseB = area of base
h = height of prismr = radius
L = 2πrh S = L + 2πr2
S = 2πrh + 2πr2
V = Bh
V rect prism = lwh
V cube = s3
V = BhV = πr2h
L = ½PlS = ½Pl + B
S = L + B
L = πrlS = L + B
S = πrl + πr2
Geo.2.18.16.sec.6.5.notebook February 18, 2016
Find the volume of the square pyramid with base edge length 9 cm and height 14 cm.
Find the volume of a cone with radius 7 cm and height 15 cm. Give your answers both in terms of π and rounded to the nearest
tenth.
Geo.2.18.16.sec.6.5.notebook February 18, 2016
L = PhS = L + 2B
S = Ph + 2B
S cube = 6s2
S =Surface Area
L =
P = perimeter of baseB = area of base
h = height of prismr = radius
L = 2πrh S = L + 2πr2
S = 2πrh + 2πr2
V = Bh
V rect prism = lwh
V cube = s3
V = BhV = πr2h
L = ½PlS = ½Pl + B
S = L + B
L = πrlS = L + B
S = πrl + πr2
Find the volume of a cone.
Geo.2.18.16.sec.6.5.notebook February 18, 2016
Find the volume of a cone with base circumference 25π in. and a height 2 in.
more than twice the radius.
Find the volume of the composite figure. Round to the nearest tenth.
Geo.2.18.16.sec.6.5.notebook February 18, 2016
Find the volume of thecomposite figure.
HOMEWORK # 67
Pyramid WkshtFind the volumes.
Cones WkshtFind the lateral area, surface area, & volumes.