Volume: Prisms and Cylinders
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Transcript Volume: Prisms and Cylinders
Volume: Prisms and Cylinders
Lesson 10-7 p.538
Volume
The volume of a three-dimensional figure
is the amount that fills the figure. The
volume is given in cubic units.
Volume
Consider this prism.
If we cut it into cubic units, it would
look like this:
2 in
3 in
4 in
Volume
Consider this prism.
If we cut it into cubic units, it would
look like this:
2 in
3 in
4 in
Volume
Consider this prism.
The common formula for finding
Volume of a rectangular prism is
V = lwh
where l is the length, w is the width
and h is the height.
2 in
3 in
4 in
Volume
Consider this prism.
In this example,
V = lwh = 4 (3) (2) = 24 cu. in.
2 in
3 in
4 in
Volume
Another way to look at this problem is take the area of the
base (meaning bottom of the figure) and multiply it by the
height. Solving in this way lets us apply the method to
other shapes as well.
Area of the base = l x w
therefore, area of the base x height
is the volume.
2 in
3 in
4 in
Example
Let’s try this method with a triangular prism
6 ft
Volume = area of the base x height
The base is the triangle. A = bh
2
9 ft
8 ft
A = (8) (6)
2
A = 24 sq. ft.
Volume = area of the base x height
=
24
x
9
=
216 cu. Ft.
Try This
Find the volume:
4 in
5 in.
6 in.
4 ft
3 ft
6 ft
Try This
Find the volume:
4 in
5 in.
6 in.
120 cu. in.
4 ft
3 ft
6 ft
Try This
Find the volume:
4 in
5 in.
6 in.
120 cu. in.
4 ft
3 ft
36 cu. ft.
6 ft
Example
This works for finding the volume of cylinders
also.
3m
Volume = area of the base x height.
Area of base =
5m
r 2
= 3.14 x 32
= 28.26 sq. m
Volume = area of base x height.
= 28.26 x 5
= 141.3 cu. meters
Try This
Find the volume of the cylinder:
11 ft
5 ft.
Try This
Find the volume of the cylinder:
11 ft
5 ft.
1,899.7 cu. ft.
Agenda
P.540 #1-13