12-5 and 12-6 volumes of prisms, cylinders, pyramids, and cones objective – find the volumes of...
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12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones
Objective – Find the volumes of prisms, cylinders, pyramids, and cones.
Prism
Volume of a Prism
BhV Volume
HeightBase Area
h
Base Area
Remember the “Base Area” formula will be determined by the base shape.
Find the volume of the rectangular prism.
BhV
wlB
1513B
2195unitsB
12195V3m 2340V
#1 Finding the Volume of a Prism
12
1315
#2 example
Find the volume of the triangular prism.
12 cm
5 cm
3 cm 4 cm
BhV
bhB2
1 )12(6V
3cm 72V
5 cm
3 cm
222 53 h
h 259 2 h162 h
4h
)4)(3(5.0B2cm 6B
#3 Finding the Volume of a Cylinder
10 cm
5 cm
BhV
Find the volume of a cylinder with height 10 cm and radius 5cm.
2rB 2)5(B
2cm 25B)10(25V
3cm 250V
#5 Finding Volume of a Pyramid Find the volume of a square pyramid
with base edges 5 m and height 3 m.
m 3
m 5
BhV3
1
)3)(25(3
1V
2sB 25B
2m 25B
3m 25V
#6 Finding the Volume of a Cone
The radius of the base of a cone is 6 m. Its height is 13 m. Find the volume.
m 6
BhV3
1
)13)(36(3
1 V
2rB 26B
2m 36B
3m 156V
m 13