7­5 volume of prisms and cylinders.notebook
January 26, 2017
Daily Do from last class
Name the solid.
How many faces does it have?
Name a face.
How many edges does it have?
Name an edge.
How many vertices does it have?
Name a vertex.
How many bases does it have?
Name the base or bases.
3. rectangular pyramid
4. Pentagonal Prism
Faces: 5
Faces: 7
Edges: 8
Edges: 15
Verticies: 5
Vertices: 10
1 rectanglular faces 2 pentagonal faces
5 rectangular faces
4 triangular faces
5. Triangular prism
6. hexagonal pyramid
Faces: 5
Faces: 7
Edges: 9
Edges: 12
Vertices: 6
Vertices: 7
2 triangular faces 1 hexagonal face
3 rectangular faces 6 triangular faces
7. Pentagonal Pyramid 8. Rectangular pyramid
Faces: 6
Faces: 5
Edges: 10
Edges: 8
Vertices: 6
Vertices: 5
5 triangular faces
1 rectangular face
1 pentagonal face
4 triangular faces
9. hexagonal prism
Faces: 8
Edges: 18
Vertices: 12
2 hexagonal faces
6 rectangular faces
1
7­5 volume of prisms and cylinders.notebook
January 26, 2017
Lesson 7-5
Volume of Prisms and Cylinders
Formula­>
Substitute ­>
Solve ­> ﴾units3﴿
Volume: Formula V = B h
Area of base shape
Volume= units 3D Height of prism
3
2
7­5 volume of prisms and cylinders.notebook
Volume of Triangular Prism
January 26, 2017
Formula: V= Bh
V= (1/2bh) h
B= area of the base
( 1bh )
2
Base
Height
Height
Base
Volume of Rectangular Prism
Formula: V = Bh
B= Area of the base
(bh)
V= (bh) h
Height
Base
Height
Base
3
7­5 volume of prisms and cylinders.notebook
Volume of Cylinder Prism
January 26, 2017
Formula: V = Bh B= area of the base
( )
V= (πr2 ) h πr2 Base
Base
Height
Volume ­ units3
Height
What does a cubic unit look like?
a cubic inch ?
rubic cube is
A big die a cubic centimeter ?
half of your first pinkie knuckle
A very small dice
a cubic foot ?
4
7­5 volume of prisms and cylinders.notebook
January 26, 2017
A. a rectangular prism with base 2 cm by 5cm and a height 3 cm.
V= Bh
V= (bh) h
V= (2 Ÿ 5) 3
V= 30 cm3
B. 4 in
12in
V= Bh
V= (πr2) h
2
V= (3.14 Ÿ 4 ) (12)
V= (3.14 Ÿ 16 ) (12)
3
V= 602. 9 in
5
7­5 volume of prisms and cylinders.notebook
January 26, 2017
C. 5 ft
7ft
V= Bh
6 ft
V= (1/2 bh) (h)
V= (1/2 Ÿ 6 Ÿ 5 ﴿ ﴾ 7﴿
V= (15) (7)
V= 105 ft3
D.
12 in
8.5 in
3 in
V = Bh
V= (bh) (h)
V= (3 Ÿ 8.5) (12)
V= 306 in3
6
7­5 volume of prisms and cylinders.notebook
E.
January 26, 2017
10 in
12 in
V = Bh
V= ( πr
2)
(h)
2
V= ( 3.14Ÿ 5 ) (12)
V= (3.14Ÿ 25) (12)
3
V= 942 in
Exit Question
What is the volume of this figure?
15 in
2 in
10.7 in
7