Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

1. Find the value of x in 2. Classify the triangle

the figure. by its angles and by

its sides.

3. Find the value

of x in the pair

of similar figures.

4. Test Practice Triangle NLR has vertices N(2, 2),

L(1, 4), and R(1, 2). If Triangle N′L′R′ has vertices

N′(-2, 2), L′(-1, 4), and R′(-1, 2), what type of

reflection was performed on triangle NLR?

A ΔNLR was reflected over the x-axis.

B ΔNLR was reflected over the y-axis.

C ΔNLR was reflected over both axes.

D ΔNLR was not reflected.

ANSWERS

1. 33 2. acute; isosceles

3. x = 1.75 4. B

Use with Lesson

11-1(over Chapter 10)

57˚ 90˚x˚

14 cm

4 cm

0.5 cmx

086_095_C02L11_877911.indd Page 86 12/8/07 6:26:35 PM user086_095_C02L11_877911.indd Page 86 12/8/07 6:26:35 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

Math Connects, Course 2 257

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.

The base is any of a parallelogram.

The height is the length of the segment

to the with endpoints on sides.

BUILD YOUR VOCABULARY (pages 255–256)

EXAMPLE Find the Area of a Parallelogram

Find the area of the parallelogram.

6.4 cm

7.5 cm

Estimate A = · or cm 2

A = bh Area of a parallelogram

A = · Replace with 7.5 and with 6.4.

A = Multiply.

The area of the parallelogram is square centimeters.

This is the same as the estimate.

Check Your Progress Find the area of the parallelogram.

13 in.

4 in.HOMEWORKASSIGNMENTPage(s):

Exercises:

Area of Parallelograms

MAIN IDEA

• Find the areas of parallelograms.

KEY CONCEPT

Area of a ParallelogramThe area A of a parallelogram equals the product of its base b and height h.

11–1

0254-0278 CH11-881062.indd 2570254-0278 CH11-881062.indd 257 11/21/07 2:14:53 PM11/21/07 2:14:53 PM

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

Find the area of each parallelogram. Round to

the nearest tenth if necessary.

1. 2.

3. Determine whether the following statement is

true or false. The height of a parallelogram is the

distance from the base to the opposite side.

4. Test Practice What is the height of a

parallelogram if the base is 24 centimeters

and the area is 744 square centimeters?

A 28 cm C 31 cm

B 30.5 cm D 32 cm

ANSWERS

1. 209 in2 2. 84 yd2

3. true 4. C

Use with Lesson

11-2(over Lesson 11-1)

11 in.

19 in.12 yd

7 yd

086_095_C02L11_877911.indd Page 87 12/8/07 6:26:37 PM user086_095_C02L11_877911.indd Page 87 12/8/07 6:26:37 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

258 Math Connects, Course 2

Copyright ©

Glencoe/M

cGraw

-Hill, a division of T

he McG

raw-H

ill Com

panies, Inc.

EXAMPLE Find the Area of a Triangle

Find the area of the triangle below.

3.2 cm

9 cm

Estimate 1 _ 2 (9)(3) =

A = 1 _ 2 bh Area of a triangle.

A = 1 _ 2 Replace b with and h with .

A = Multiply.

The area of the triangle is 14.4 .

This is close to the estimate.

Check Your Progress Find the area of the triangle below.

4.5 ft

6 ft

EXAMPLE Find the Area of a Trapezoid

Find the area of the trapezoid below.

3 m

4 m

7.6 m

The bases are meters and meters.

The height is meters.

11–2 Areas of Triangles and Trapezoids

MAIN IDEA

• Find the areas of triangles and trapezoids.

KEY CONCEPT

Area of a Triangle The area A of a triangle equals half the product of its base b and height h.

0254-0278 CH11-881062.indd 2580254-0278 CH11-881062.indd 258 11/21/07 2:14:54 PM11/21/07 2:14:54 PM

11–2

Math Connects, Course 2 259

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.A = 1_

2h( b 1 + b 2 ) Area of a trapezoid

A = 1_2 (3) Replace h with , b 1 with ,

and b 2 with .

A = 1 _ 2

(11.6) Add and .

A = Multiply.

The area of the trapezoid is square meters.

Check Your Progress Find the area of the trapezoid below.

8 cm

12.5 cm

6 cm

ORGANIZE ITUnder the tab for Lesson 11-2 of your Foldable, record in words and symbols how to fi nd the area of triangles and trapezoids.

®

HOMEWORKASSIGNMENTPage(s):

Exercises:

KEY CONCEPT

Area of a Trapezoid The area A of a trapezoid equals half the product of the height h and the sum of the bases b 1and b 2 .

0254-0278 CH11-881062.indd 2590254-0278 CH11-881062.indd 259 11/21/07 2:14:56 PM11/21/07 2:14:56 PM

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

Find the area of each figure. Round to the

nearest tenth if necessary.

1. 2.

3. 4. triangle:

base = 15.75 yd

height = 10.25 yd

5. Bell has a triangular garden with a base of

20 feet and a height of 15 feet. Find the area

of Bell’s garden.

6. Test Practice A trapezoid has bases of

14.7 meters and 12.2 meters, and a height of

9 meters. What is the area of the trapezoid to

the nearest tenth?

A 132.3 m2 C 144.6 m2

B 121.1 m2 D 155.8 m2

ANSWERS

1. 42 in2 2. 28 cm2 3. 158.4 m2

4. 80.7 yd2 5. 150 ft2 6. B

(over Lesson 11-2)

Use with Lesson

11-3

12 in.

7 in.4 cm

6 cm

8 cm

24 m

13.2 m

086_095_C02L11_877911.indd Page 88 12/8/07 6:26:37 PM user086_095_C02L11_877911.indd Page 88 12/8/07 6:26:37 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

260 Math Connects, Course 2

Copyright ©

Glencoe/M

cGraw

-Hill, a division of T

he McG

raw-H

ill Com

panies, Inc.

A circle is a set of all points in a plane that are the

distance from a given called the

center.

The diameter (d) is the distance a

through its center.

The circumference (C ) is the distance a circle.

The radius (r) is the distance from the to any

point on a .

An approximation often used for π (pi) is .

BUILD YOUR VOCABULARY (pages 255–256)

EXAMPLE Find Circumference

PETS Find the circumference around the hamster’s running wheel shown. Round to the nearest tenth.

C = 2πr

C = 2 (3)

C = Multiply.

The circumference is about inches.

r 3 in.

11–3 Circles and Circumference

MAIN IDEA

• Find the circumference of circles.

KEY CONCEPT

Circumference of a CircleThe circumference C of a circle is equal to its diameter d times π, or 2 times its radius r times π.

0254-0278 CH11-881062.indd 2600254-0278 CH11-881062.indd 260 11/21/07 2:14:58 PM11/21/07 2:14:58 PM

11–3

Math Connects, Course 2 261

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.Check Your Progress SWIMMING POOL

A new children’s swimming pool is being built at the local recreation center. The pool is circular in shape with a diameter of 18 feet. Find the circumference of the pool. Round to the nearest tenth.

18 ft

EXAMPLE Find Circumference

Find the circumference of a circle with a diameter of 49 centimeters.

Since 49 is a multiple of 7, use for π.

C = πd Circumference of a circle

C ≈ 22 _ 7 · Replace with 22 _

7 and d with .

C ≈ 22 _ 7 1 · 49

7 _

1 Divide by the , 7.

C ≈ Multiply.

The circumference is about 154 .

Check Your Progress Find the circumference of a circle with a radius of 35 feet.

HOMEWORKASSIGNMENTPage(s):

Exercises:

REMEMBER IT All circumferences are estimates since 3.14 is an estimated value of pi.

0254-0278 CH11-881062.indd 2610254-0278 CH11-881062.indd 261 11/21/07 2:14:59 PM11/21/07 2:14:59 PM

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

Solve.

For 1–2 find the circumference of each circle.

Use 3.14 for π. Round to the nearest tenth if

necessary.

1. radius = 5 ft

2. diameter = 11.2 in.

For Exercises 3–4 find the diameter or radius

of each circle. Use 3.14 for π. Round to the

nearest tenth if necessary.

3. C = 30 ft, diameter = _____ ft

4. C = 96 cm, diameter = _____ cm

5. Test Practice A coffee can has a circumference

of 216 mm. Which equation could be used to find

the diameter of the can in inches?

A 216 = π d C 108 = π × d

B C = π × 108 D C = π × 14.7

ANSWERS

1. 31.4 ft 4. 30.6

2. 35.2 in 5. A

3. 9.6

(over Lesson 11-3)

Use with Lesson

11-4

086_095_C02L11_877911.indd Page 89 12/8/07 6:26:38 PM user086_095_C02L11_877911.indd Page 89 12/8/07 6:26:38 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

262 Math Connects, Course 2

Copyright ©

Glencoe/M

cGraw

-Hill, a division of T

he McG

raw-H

ill Com

panies, Inc.

EXAMPLES Find the Areas of Circles

Find the area of the circle at the right.

A = Area of a circle

A = π · Replace r with .

4 cm

π 2 x 2 ENTER

The area of the circle is approximately square centimeters.

KOI Find the area of the koi pond shown.

The diameter of the pond is 3.6 meters, so the radius is 1 _

2 (3.6) or 1.8 meters.

A = π r 2 Area of a circle

A = π ( ) 2

Replace r with .

A ≈ Use a calculator.

The area is approximately 10.2 square meters.

Check Your Progress

a. Find the area of the circle below.

10.5 ft

b. COINS Find the area of a nickel with a diameter of 2.1 centimeters.

11–4 Area of Circles

MAIN IDEA

• Find the areas of circles.

KEY CONCEPT

Area of a Circle The area A of a circle equals the product of pi (π) and the square of its radius r.

0254-0278 CH11-881062.indd 2620254-0278 CH11-881062.indd 262 11/21/07 2:15:00 PM11/21/07 2:15:00 PM

11–4

Math Connects, Course 2 263

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.

A sector of a circle is a region of a circle bounded by

radii.

BUILD YOUR VOCABULARY (pages 255–256)

EXAMPLE

TEST EXAMPLE Mr. McGowan made an apple pie with a diameter of 10 inches. He cut the pie into 6 equal slices. Find the approximate area of each slice.

A 3 in 2 B 13 in 2 C 16 in 2 D 52 in 2

Read the Item

You can use the diameter to fi nd the total area of the pie and then divide that result by 6 to fi nd the area of each slice.

Solve the Item

Find the area of the whole pie.

A = πr 2 Area of a circle

A = π ( ) 2

Replace r with .

A ≈ 78 Multiply.

Find the area of one slice.

78 ÷ = 13

The area of each slice is approximately 13 square inches.

The correct answer is .

Check Your Progress MULTIPLE CHOICE The fl oor of a merry-go-round at the amusement park has a diameter of 40 feet. The fl oor is divided evenly into eight sections, each having a different color. Find the area of each section of the fl oor.

F 15.7 ft 2 H 62.8 ft 2

G 20 ft 2 J 157 ft 2

0254-0278 CH11-881062.indd 2630254-0278 CH11-881062.indd 263 11/21/07 2:15:03 PM11/21/07 2:15:03 PM

HOMEWORKASSIGNMENTPage(s):

Exercises:

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

ANSWERS

1. 24.6 cm2 2. 50.3 ft2 3. 132.7 m2

4. 247.4 yd2 5. 84.8 in2 6. D

Use with Lesson

11-5(over Lesson 11-4)

2.8 cm 4 ft 13 m

6 in.

12 in.

Find the area of each circle. Round to the

nearest tenth.

1. 2. 3.

4. diameter = 17�3

4� yd

5. Find the area of the shaded

region in the figure at the right.

Round to the nearest tenth.

6. Test Practice What is the radius of a circle that

has an area of 154 square millimeters?

A 49 mm C 8 mm

B 25 mm D 7 mm

086_095_C02L11_877911.indd Page 90 12/8/07 6:26:39 PM user086_095_C02L11_877911.indd Page 90 12/8/07 6:26:39 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

Math Connects, Course 2 265

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.

A composite fi gure is made of triangles, quadrilaterals,

semicircles, and other fi gures.

A semicircle is of a circle.

BUILD YOUR VOCABULARY (pages 255–256)

EXAMPLE Find the Area of a Composite Figure

Find the area of the fi gure in square centimeters.

The fi gure can be separated

into a and a

. Find the area

of each.

Area of Rectangle Area of Triangle

A = �w A = 1 _ 2 bh

A = 15 · 10 or A = 1 _ 2 (5)(4) or

The area is 150 + 10 or square centimeters.

Check Your Progress Find the area of the fi gure shown.

MAIN IDEA

• Find the areas of composite fi gures.

ORGANIZE IT In the tab for Lesson 11-6 of your Foldable, record in words and symbols how you fi nd the area of composite fi gures. Make up an example of your own and explain how you would fi nd the area.

®

11–6 Area of Composite Figures

0254-0278 CH11-881062.indd 2650254-0278 CH11-881062.indd 265 11/21/07 2:15:05 PM11/21/07 2:15:05 PM

11–6

266 Math Connects, Course 2

Copyright ©

Glencoe/M

cGraw

-Hill, a division of T

he McG

raw-H

ill Com

panies, Inc.EXAMPLE Find the Area of a Composite Figure

WINDOWS The diagram at the right shows the dimensions of a window. Find the area of the window. Round to the nearest tenth.

The fi gure can be separated into a semicircle and a rectangle.

Area of Semicircle

A = π r 2 Area of a semicircle

A = 1 _ 2 π Replace r with ÷ or .

A ≈ Simplify.

Area of Rectangle

A = �w Area of a rectangle

A = Replace � with - or

and w with .

A = Multiply.

The area of the window is approximately + or

square feet.

Check Your Progress The diagram below shows the dimensions of a new driveway. Find the area of the driveway. Round to the nearest tenth.

9 ft

21 ft

WRITE IT Explain in general terms how to subdivide a composite fi gure so you can fi nd its area.

HOMEWORKASSIGNMENTPage(s):

Exercises:

0254-0278 CH11-881062.indd 2660254-0278 CH11-881062.indd 266 11/21/07 2:15:06 PM11/21/07 2:15:06 PM

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

2.2 yd

6 yd

9 in.

2 in.

12 in.

5 in.

14 ft

12 ft

5 ft

22 ft

Find the area of each figure. Round to the

nearest tenth if necessary.

1. 2.

3. India wants to carpet her bedroom and closet.

If her bedroom is 10.5 feet by 11 feet and her

closet is 4.5 feet by 3 feet, how much area does

she need to carpet?

4. Test Practice Find the

area of the figure at

the right.

A 374 square feet C 264 square feet

B 278 square feet D 208 square feet

ANSWERS

1. 27.3 yd2 2. 58.5 in2

3. 129 ft2 4. D

Use with Lesson

11-7(over Lesson 11-6)

086_095_C02L11_877911.indd Page 92 12/8/07 6:26:40 PM user086_095_C02L11_877911.indd Page 92 12/8/07 6:26:40 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

Math Connects, Course 2 267

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.

A three-dimensional fi gure has length, width, and depth.

A face is a fl at . The edges are the segments

formed by intersecting . The edges

at the vertices. The are called

lateral faces.

BUILD YOUR VOCABULARY (pages 255–256)

EXAMPLES Classify Three-Dimensional Figures

For each fi gure, identify the shape of the base(s). Then classify the fi gure.

The fi gure has four triangular faces and one rectangular base.The fi gure is a

.

The base and all otherfaces are rectangles.The fi gure is a

.

Check Your Progress For each fi gure, identify the shape of the base(s). Then classify the fi gure.

a. b.

ORGANIZE IT Record notes about classifying three-dimensional fi gures under the tab for Lesson 11-7 of your Foldable.

®

MAIN IDEA

• Classify three-dimensional fi gures.

11–7 Three-Dimensional Figures

0254-0278 CH11-881062.indd 2670254-0278 CH11-881062.indd 267 11/21/07 2:15:19 PM11/21/07 2:15:19 PM

11–7

268 Math Connects, Course 2

Copyright ©

Glencoe/M

cGraw

-Hill, a division of T

he McG

raw-H

ill Com

panies, Inc.

The top and bottom faces of a three-dimensional fi gure are

called the bases.

A prism has at least three lateral faces that are rectangles.

A pyramid has at least three lateral faces that are triangles.

A cone has one base that is a and one vertex.

A cylinder has two bases that are circles.

All of the points on a sphere are the same distance from

the center.

BUILD YOUR VOCABULARY (pages 255–256)

EXAMPLE

HOUSES Classify the shape of the house’s roof as a three-dimensional fi gure.

The shape of the house’s roof

is a .

Check Your Progress Classify the shape of the house above, not including the roof.

REMEMBER IT The base tells the name of the three-dimensional fi gure.

HOMEWORKASSIGNMENTPage(s):

Exercises:

0254-0278 CH11-881062.indd 2680254-0278 CH11-881062.indd 268 11/21/07 2:15:20 PM11/21/07 2:15:20 PM

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

For each figure, identify the shape of the

base(s). Then classify the figure.

1. 2.

3. 4.

5. Test Practice Which

figure is shown?

A pentagonal prism

B triangular prism

C pentagonal prism

D pentagonal pyramid

ANSWERS

1. rectangular prism

2. pentagonal prism

3. cylinder

4. rectangular pyramid

5. D

Use with Lesson

11-8(over Lesson 11-7)

086_095_C02L11_877911.indd Page 93 12/8/07 6:26:41 PM user086_095_C02L11_877911.indd Page 93 12/8/07 6:26:41 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

Math Connects, Course 2 269

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.

EXAMPLE Draw a Three-Dimensional Figure

Draw a top, a side, and a front view of the fi gure below.

The top and front views are . The side

view is a .

Check Your Progress Draw a top, a side, and a front view of the fi gure below.

ORGANIZE IT Record notes about drawing three-dimensional fi gures under the tab for Lesson 11-8 in your Foldable. Sketch examples of rectangular prisms and cylinders.

®

MAIN IDEA

• Draw a three-dimensional fi gure given the top, side, and front views.

11–8 Drawing Three-Dimensional Figures

0254-0278 CH11-881062.indd 2690254-0278 CH11-881062.indd 269 11/21/07 2:15:22 PM11/21/07 2:15:22 PM

11–8

270 Math Connects, Course 2

Copyright ©

Glencoe/M

cGraw

-Hill, a division of T

he McG

raw-H

ill Com

panies, Inc.

REMEMBER IT There is more than one way to draw the different views of a three-dimensional fi gure.

HOMEWORKASSIGNMENTPage(s):

Exercises:

EXAMPLE Draw a Three-Dimensional Figure

Draw the three-dimensional fi gure whose top, side, and front views are shown below. Use isometric dot paper.

Step 1 Use the top view to draw the base of the fi gure.

Step 2 Add edges to make the base a solid fi gure.

Step 3 Use the side and front views to complete the fi gure.

Check Your Progress Draw a solid using the top, side, and front views shown below. Use isometric dot paper.

0254-0278 CH11-881062.indd 2700254-0278 CH11-881062.indd 270 11/21/07 2:15:24 PM11/21/07 2:15:24 PM

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

Draw a top, a side, and a front view of the

solid.

1.

Draw the solid using the top, side, and front

views shown. Use isometric dot paper.

2. top side front

3. Test Practice What is the side

view of the figure at the right?

A rectangle C triangle

B square D parallelogram

ANSWERS·

1. top side front 2. 3. C

Use with Lesson

11-9(over Lesson 11-8)

086_095_C02L11_877911.indd Page 94 12/8/07 6:26:41 PM user086_095_C02L11_877911.indd Page 94 12/8/07 6:26:41 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

Math Connects, Course 2 271

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.

A volume of a three-dimensional fi gure is the measure of

occupied by it.

A rectangular prism is a prism that has rectangular

. A triangular prism has bases.

BUILD YOUR VOCABULARY (pages 255–256)

EXAMPLE Volume of a Rectangular Prism

Find the volume of the rectangular prism.

V = �wh Volume of a

V = Replace � with , w with ,

and h with .

V = Multiply.

The volume is 24 centimeters.

Check Your Progress Find the volume of the rectangular prism.

MAIN IDEA

• Find the volumes of rectangular and triangular prisms.

KEY CONCEPT

Volume of a Rectangular Prism The volume V of a rectangular prism is the area of the base B times the height h. It is also the product of the length �, the width w, and the height h.

HOMEWORKASSIGNMENTPage(s):

Exercises:

Volume of Prisms11–9

0254-0278 CH11-881062.indd 2710254-0278 CH11-881062.indd 271 11/21/07 2:15:26 PM11/21/07 2:15:26 PM

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a

div

isio

n of

The

McG

raw

-Hill

Com

pan

ies,

Inc.

Chapter 11 Glencoe Math Connects, Course 2

10 cm3.4 cm

3.4 cm

Find the volume of each rectangular prism.

Round to the nearest tenth if necessary.

1.

11 in.

5 in.

6 in. 2.

Solve.

3. A cube has 6-inch edges. Find its volume.

4. Kieran’s greenhouse is 25 feet long, 13 feet wide,

and 14 feet high. She needs to know how many

humidifiers to buy for the greenhouse. If each

humidifier serves 1,000 ft3, how many

humidifiers should she buy?

5. Test Practice What is the volume of a closet

that is 6 feet wide, 4 feet deep, and 10 feet tall?

A 24 ft3 B 60 ft3 C 154 ft3 D 240 ft3

ANSWERS

1. 330 in3 3. 216 in3 5. D

2. 115.6 cm3 4. 5

(over Lesson 11-9)

Use with Lesson

11-10

086_095_C02L11_877911.indd Page 95 12/8/07 6:26:43 PM user086_095_C02L11_877911.indd Page 95 12/8/07 6:26:43 PM user /Volumes/ju109/MHGL129/Indd%0/Course 2/Volumes/ju109/MHGL129/Indd%0/Course 2

P rinter P DF

5-Minute Check

272 Math Connects, Course 2

Copyright ©

Glencoe/M

cGraw

-Hill, a division of T

he McG

raw-H

ill Com

panies, Inc.

EXAMPLE Find the Volume of a Cylinder

Find the volume of the cylinder. Round to the nearest tenth.

V = Volume of a cylinder

V = π Replace the variables.

V ≈ Use 3.14 for π.

The volume is about cubic centimeters.

Check Your Progress Find the volume of the cylinder. Round to the nearest tenth.

MAIN IDEA

• Find the volumes of cylinders.

KEY CONCEPT

Volume of a Cylinder The volume V of a cylinder with radius r is the area of the base B times the height h.

®

Take notes on how to fi nd the volume of cylinders under the tab for Lesson 11-10 of your Foldable.

11–10 Volume of Cylinders

0254-0278 CH11-881062.indd 2720254-0278 CH11-881062.indd 272 11/21/07 2:15:27 PM11/21/07 2:15:27 PM

11–10

Math Connects, Course 2 273

Cop

yrig

ht ©

Gle

ncoe

/McG

raw

-Hill

, a d

ivis

ion

of T

he M

cGra

w-H

ill C

ompa

nies

, Inc

.EXAMPLE

COFFEE How much coffee can the can hold?

V = π r 2 h Volume of a cylinder

V = π ( ) 2

Replace r with and h with .

V ≈ Simplify.

The coffee can holds about cubic inches.

Check Your Progress JUICE Find the volume of a cylinder-shaped juice can that has a diameter of 5 inches and a height of 8 inches.

WRITE ITExplain how you would use a calculator to evaluate a power.

HOMEWORKASSIGNMENTPage(s):

Exercises:

0254-0278 CH11-881062.indd 2730254-0278 CH11-881062.indd 273 11/21/07 2:15:29 PM11/21/07 2:15:29 PM