surface areas of prisms and cylinders
Post on 01-Jul-2015
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Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.
Pentagonal Prism
Triangular Prism
Lateral Faces
Lateral Edges
BasesBases
Oblique Prism
h
Right Prism
h
Lateral Area and Surface Area of a Prism
PhL =Lateral Area
Base Perimeter
Height
BLS 2+=Surface
AreaLateral Area
Base Area
Base Perimeter
h
Base Area
Find the surface area of the regular hexagonal prism.
12 m6 m
PhL =)6(6=P 36=
BLS 2+=apB
2
1=
)12(36=L2m 432=L 30
60m 3
m 33
( )( )36332
1=B
354=B2m 5.93=B
2m 432=L 2m 5.93=B)5.93(2432 +=S
187432 +=S2m 619=S
=6
360 =2
6030
P = 36
Find the surface area of the triangular prism.
12 cm
5 cm
5 cm 6 cm
BLS 2+=
PhL = bhB2
1=
)12(2192 +=S2cm 216=S
5 cm
3 cm
222 53 =+ h
h 259 2 =+ h162 =h
4=h
)12(16=LP = 162cm 192=L
)4)(6(5.0=B2cm 12=B
Lateral Area and Surface Area of a Cylinder
rhL π2=Lateral Area
Radius Height
BLS 2+=Surface
AreaLateral Area
Base Area
Radius
h
Base Area
2rB π=
Find the surface area of a cylinder with height 10 cm and radius 5 cm in terms of pi.
10 cm
5 cm
rhL π2=BLS 2+=
)10)(5(2π=L2cm 100π=L
2rB π=2)5(π=B
2cm 25π=B)25(2100 ππ +=S 2cm 150π=S
Find the surface area of a cylinder with radius 6 ft and height 9 ft in terms of pi.
9 ft
6 ftrhL π2=BLS 2+=
)9)(6(2π=L2ft 108π=L
2rB π=2)6(π=B
2ft 36π=B)36(2108 ππ +=S 2ft 180π=S
Find the surface area of a cylinder with radius 6 ft and height 9 ft in terms of pi.
9 ft
6 ftrhL π2=BLS 2+=
)9)(6(2π=L2ft 108π=L
2rB π=2)6(π=B
2ft 36π=B)36(2108 ππ +=S 2ft 180π=S
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