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The formula for the volume of a prism is V=Bh, where B is the base area and h is the height. The base of the prism is a rectangle.

1.
Volume: Prisms and Cylinders

Lesson 10-7 p.538

Lesson 10-7 p.538

2.
The volume of a three-dimensional figure

is the amount that fills the figure. The

volume is given in cubic units.

is the amount that fills the figure. The

volume is given in cubic units.

3.
Consider this prism.

If we cut it into cubic units, it would

look like this:

2 in

3 in

4 in

If we cut it into cubic units, it would

look like this:

2 in

3 in

4 in

4.
Consider this prism.

If we cut it into cubic units, it would

look like this:

2 in

3 in

4 in

If we cut it into cubic units, it would

look like this:

2 in

3 in

4 in

5.
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

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

6.
Consider this prism.

In this example,

V = lwh = 4 (3) (2) = 24 cu. in.

2 in

3 in

4 in

In this example,

V = lwh = 4 (3) (2) = 24 cu. in.

2 in

3 in

4 in

7.
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

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

8.
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

A = (8) (6)

8 ft

2

A = 24 sq. ft.

Volume = area of the base x height

= 24 x 9

= 216 cu. Ft.

6 ft Volume = area of the base x height

The base is the triangle. A = bh

2

9 ft

A = (8) (6)

8 ft

2

A = 24 sq. ft.

Volume = area of the base x height

= 24 x 9

= 216 cu. Ft.

9.
Try This

Find the volume:

4 in

5 in. 4 ft

6 in. 6 ft

3 ft

Find the volume:

4 in

5 in. 4 ft

6 in. 6 ft

3 ft

10.
Try This

Find the volume:

4 in

5 in. 4 ft

6 in. 6 ft

3 ft

120 cu. in.

Find the volume:

4 in

5 in. 4 ft

6 in. 6 ft

3 ft

120 cu. in.

11.
Try This

Find the volume:

4 in

5 in. 4 ft

6 in. 6 ft

3 ft

120 cu. in. 36 cu. ft.

Find the volume:

4 in

5 in. 4 ft

6 in. 6 ft

3 ft

120 cu. in. 36 cu. ft.

12.
This works for finding the volume of cylinders

also.

3m Volume = area of the base x height.

Area of base = r 2

5m = 3.14 x 32

= 28.26 sq. m

Volume = area of base x height.

= 28.26 x 5

= 141.3 cu. meters

also.

3m Volume = area of the base x height.

Area of base = r 2

5m = 3.14 x 32

= 28.26 sq. m

Volume = area of base x height.

= 28.26 x 5

= 141.3 cu. meters

13.
Try This

Find the volume of the cylinder:

11 ft

5 ft.

Find the volume of the cylinder:

11 ft

5 ft.

14.
Try This

Find the volume of the cylinder:

11 ft

5 ft. 1,899.7 cu. ft.

Find the volume of the cylinder:

11 ft

5 ft. 1,899.7 cu. ft.

15.
P.540 #1-16

16.
Bellwork #

HW, red pen, book

on desk.

HW, red pen, book

on desk.

17.
Workbook pp.86 & 87

Workbook p.89

Workbook p.89

18.
Workbook p.89

19.
Please have the

following on your desk:

Tuesday Folder – take

home quizzes

HW, red pen, book on desk.

following on your desk:

Tuesday Folder – take

home quizzes

HW, red pen, book on desk.

20.
PA#

P.552-553

#1-15, 22-24

Correct at home

Ch.10 Test tomorrow.

P.552-553

#1-15, 22-24

Correct at home

Ch.10 Test tomorrow.