Chapter 10 Extra Practice Answers - Central Dauphin School ...

[Pages:24]Chapter 10 Extra Practice Answers

Lesson 10-1

1. 504 in3 3. 115156 m3 5. 80 in3

7. 3.5 ft

8. 8 mm

2. 149,568 ft3 4. 160 cm3 6. 607.5 ft3

Lesson 10-2

1. 432 in3 3. 240 mm3 5. 432 in3

7. 22 ft

8. 10 m

2. 962.5 m3 4. 660 yd3 6. 48 cm3

Lesson 10-3

1. 188 in2 3. 1,724 yd2 5. 24 ft2 7. 1,176 in2 9. 216 ft2

2. 2,152 in2 4. 108 ft2 6. 250 in2 8. 174 cm2 10. 351.68 mm2

Lesson 10-4

1. 920 m2 3. 211.2 cm2 5. 308.8 mm2

2. 108 cm2 4. 510 ft2 6. 560 yd2

Lesson 10-5

1. 175 m2 3. 42.8 in2 5. 88 ft2

2. 13.7 cm2 4. 62.4 in2 6. 456 yd2

Course 1 ? Chapter 10 Volume and Surface Area

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Homework Practice

Volume of Rectangular Prisms

Find the volume of each prism.

1.

2.

5 yd

10 mm

7 yd 9 yd

6 mm

3.

3 mm

9

1 3

in.

4 in.

6

1 2

in.

315 yd3

4.

12 ft

180 mm3

5.

13 m

4 m

6 ft 3 ft

216 ft3

4 m

208 m3

7. MUSIC Find the volume of the CD box shown

at the right. 375 in3

8. TOYS Geneva's younger brother has a toy box that is

3.6 feet long, 2.4 feet wide, and 1.5 feet high.

What is the volume of the toy box? 12.96 ft3

9. What is the volume of a rectangular prism with a

length of 11 meters, width of 26 meters, and height

of 38 meters? 10,868 m3

242

2 3

in3

6.

8 yd

2

1 2

yd

5

3 4

yd

115 yd3

7.5 in.

6.25 in.

8 in.

10. BAKING The bread loaf pan shown is filled to a height

of 2 inches with banana bread batter. How much more

batter could the pan hold before it overflowed? 45 in3

3 in. 5 in. 9 in.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

Course 1 ? Chapter 10 Volume and Surface Area

145

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Skills Practice

Volume of Rectangular Prisms

Find the volume of each prism.

1.

2.

3.

2 in.

4 in.

1 in.

7 m

2 m

9 ft

4 m

8 in3

4.

10 mm

56 m3

1 mm 5.

4 mm

10 in.

6 ft 5 ft

270 ft3

6.

15 yd

12 yd 10 yd

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

40 mm3

3 in. 2 in.

60 in3

1,800 yd3

7.

5 in.

2 in. 3 in.

30 in3

8.

20 ft

200 ft3

2 ft

9.

5 ft

6 mm

10 mm

420 mm3

7 mm

Find the missing dimension of each prism.

10.

V = 39.48 m3

11.

V

=

56

1 4

ft3

h

12. V = 189 yd3

3

3 4

ft

8.4 m

7

1 2

ft

7 yd

9 yd

1 m

4.7 m

2 ft

w

3 yd

13. Find the volume of a rectangular prism with length 9 meters, width

4 meters, and height 5 meters. 180 m3

14. What is the volume of a rectangular prism with length 6 yards, width

3 yards, and a height of 2 yards? 36 yd3

146

Course 1 ? Chapter 10 Volume and Surface Area

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Problem-Solving Practice

Volume of Rectangular Prisms

1. OLYMPICS Olympic gold medal winner Michael Phelps competes in a pool with required dimensions 25 meters by 50 meters by 2 meters. What is the volume of the Olympic-sized pool? Explain how you found your

answer. 2,500 m3; To find the volume, multiply length ? width ? height or first find the base area, length ? width, and then multiply the product by the height.

2. DUMP TRUCKS Raphael drives a standard-sized dump truck. The dimensions of the bed of the truck are length 15 feet, width 8 feet, and height 6 feet. What is the volume of

the bed of the dump truck? 720 ft3

3. GIFTS William has some antique bottles. He is going to fill the bottles with bath soap and give them away as gifts. Use the figure to find the volume up to the fill line of a

bottle. 72 in3

Fill Line

6 in.

4 in.

3 in.

5. RECYCLING The town of Riverview provides a rectangular recycling bin for newspapers to each household. If the volume is 3,840 cubic inches, what is the height of the recycling bin?

16 in.

/&841"1&3

20 in.

h in. 12 in.

4. JEWELRY Janine keeps her jewelry in a jewelry box like the figure below. Find the volume of Janine's jewelry box.

3

5 8

in.

5 in.

9

1 4

in.

167

21 32

in3

6. CANDLE MAKING Kyle fills the candle

mold with liquid candle wax. If the

candle has a volume of 99 cubic

inches, what is the width of the

mold? 3 in.

11 in. 3 in.

w in.

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

146

Course 1 ? Chapter 10 Volume and Surface Area

4 Multi-Part Lesson PART B

NAME ________________________________________ DATE _____________ PERIOD _____

Enrich

Copyright ? Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Volume and Liquid Capacity

The volume of a three-dimensional figure is the amount of space it contains. Volume is measured in cubic units--cubic meters, cubic inches, and so on.

The liquid capacity of a container is the amount of liquid it can hold. Liquid capacity generally is measured in units like liters, milliliters, cups, pints, quarts, and gallons.

The chart at the right shows the relationship between volume and liquid capacity. If a container were shaped like the rectangular prism, this is how you would find its liquid capacity.

Volume and Liquid Capacity Metric 1 cm3 = 1 mL 1 m3 = 1,000 L Customary 1 in3 0.544 fl oz 1 ft3 7.481 gal

Volume V = wh V = 7 ? 5 ? 4 V = 140

Liquid Capacity 1 in3 0.544 fl oz

140 in3 (140 ? 0.544) fl oz 140 in3 76.16 fl oz

4 in. 7 in.

5 in.

So the liquid capacity of the container is about 76 fluid ounces.

For Exercises 1?4, find the liquid capacity of a container shaped like a rectangular prism with the given dimensions. If necessary, round to the nearest whole number.

1. length, 8 cm

width, 4 cm

height, 6 cm 192 mL

2. length, 7 ft

width, 2 ft

height, 3 ft 314 gal

3. length, 4 m

width, 2 m

height, 5 m 40,000 L

4. length, 5 in.

width, 1 in.

height, 3 in. 8 fl oz

5. An aquarium is 36 inches long, 18 inches wide, and 18 inches

tall. It is filled with water to a height of 12 inches. How many

gallons of water are in the aquarium? (Round to the nearest gallon.)

34 gal

6. CHALLENGE How many cubic inches of space are occupied by

one quart of water? Round to the nearest whole number.

59 in3

64

Course 1 ? Perimeter, Area, and Volume

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Homework Practice

Volume of Triangular Prisms

Find the volume of each prism. Round to the nearest tenth if necessary.

1.

2.

12 m

3. 6 ft

10 ft

14 yd 11 yd

731.5 yd3

9.5 yd

9 m 8 m

432 m3

10 ft

300 ft3

11.7 ft

4.

21 km

18 km 20 km

3,780 km3

5.

1.5 in.

1.7 in.

6.

0.9 in. 4 m

1.7 in.

1.7 in.

10.8 m

7 m 10 m

1.1 in3

140 m3

7. 2.2 in.

5 in. 3 in.

3.2 in.

3.2 in.

8.

6 cm 15 cm

9.

10 cm 4 cm

8 cm 6 cm

16.5 in3

450 cm3

7.2 cm

96 cm3

10. WEDGE The base of a triangular door wedge has an area of 55 square

centimeters. The height of the wedge is 5 centimeters. Find the volume

of the door wedge. 275 cm3

11. GAME A wooden peg game in the shape of a triangular prism is 2 inches tall. The

triangle has a base of 12 inches and a height of 9 inches. Find the volume of the game.

108 in3

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

Course 1 ? Chapter 10 Volume and Surface Area

147

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Skills Practice

Volume of Triangular Prisms

Find the volume of each prism. Round to the nearest tenth if necessary.

1.

7

3 4

yd

8 yd

2.

5

1 2

yd

6.1 m

4.8 m

5.9 m

3.

4.2 ft

2 ft

3.5 ft

170

1 2

yd3

86.4 m3

14.7 ft3

4.

12 m

6 m 8 m

288 m3

5.

4.1 m 5.1 m

2.6 m

27.2 m3

6.

15.2 in.

9.6 in.

10.4 in. 18.4 in.

758.8 in3

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

7.

12 ft 15 ft

630 ft3

8.

5.7 cm 7 ft

8.9 cm

347.5 cm3

9.

6 m

13.7 cm

10.5 m

5.3 m

6 m

6 m

167 m3

148

Course 1 ? Chapter 10 Volume and Surface Area

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Problem-Solving Practice

Volume of Triangular Prisms

1. TOY BLOCKS A set of wooden blocks includes a triangular prism like the one shown below. Find the volume of the

block. 14 cm3

4 cm

2 cm

3.5 cm

2. RAMP The base of a bicycle ramp has

an area of 4 square feet. The ramp is a

triangular prism. If the ramp has a

height

of

2

1 2

feet,

what

is

the

volume

of

the ramp? 10 ft3

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.

3. CLAY A potter crafts a triangular prism out of clay. The height of the clay prism is 9 centimeters. Each triangle has a base of 12 centimeters and a height of 4 centimeters. What is the volume of

the clay piece? 216 cm3

4. CABIN An A-frame cabin is built in the shape of a triangular prism, as shown. The front wall of the cabin has a length of 9 meters and a height of 7 meters. The cabin is 13 meters deep. Find the

volume of the cabin. 409.5 m3

7 m 9 m

13 m

5. PAPERWEIGHT A novelty paperweight has a triangular base with an area of 15 square centimeters. If the height of the paperweight is 1.5 centimeters, what is the volume of the paperweight?

22.5 cm3

6. SANDBOX Mr. Riojas is building his children a sandbox that is shaped like a triangular prism. He uses 7-foot-long wooden beams for each side of the base. He measures the height of the triangular base to be 6.1 feet. If he makes the sandbox 1 foot tall, how much sand will he need to fill it? Round

to the nearest cubic foot. 21.4 ft3

148

Course 1 ? Chapter 10 Volume and Surface Area

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