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Course 2 • Chapter 8 Measure Figures 119 NAME _____________________________________________ DATE __________________ PERIOD _________ Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. Lesson 1 Homework Practice Circumference Find the radius or diameter of each circle with the given dimensions. 1. d = 18 in. 2. d = 29 m 3. r = 21 ft 4. r = 13 mm Find the circumference of each circle. Use 3.14 or 22 −− 7 for π. Round to the nearest tenth if necessary. 5. 42 m 6. 11 in. 7. 4 yd 8. 4.5 mm 9. 14 ft 10. 31.5 cm 11. r = 42 cm 12. r = 15 yd 13. d = 31 m 14. a tire with a radius of 22 centimeters 15. a helicopter pad with a diameter of 15 yards 16. PLANTS The world’s largest flower, the Giant Rafflesia, is 91 centimeters in diameter. Use a calculator to find the circumference of a Giant Rafflesia to the nearest tenth. 17. GEOLOGY Ubehebe Crater in Death Valley has a diameter of a little more than 1 2 mile. If Latisha walks around its rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your answer to the nearest tenth. Use 3.14 for π.

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Page 1: NAME DATE PERIOD Lesson 1 Homework Practice - …serray.weebly.com/uploads/4/2/9/3/42933991/chapter_8_packet_7th... · Course 2 • Chapter 8 Measure Figures 119 ... Lesson 1 Homework

Course 2 • Chapter 8 Measure Figures 119

NAME _____________________________________________ DATE __________________ PERIOD _________

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.Lesson 1 Homework PracticeCircumference

Find the radius or diameter of each circle with the given dimensions.

1. d = 18 in. 2. d = 29 m 3. r = 21 ft 4. r = 13 mm

Find the circumference of each circle. Use 3.14 or 22 −−

7 for π. Round to

the nearest tenth if necessary.

5.

42 m

6.

11 in.

7.

4 yd

8.

4.5 mm

9.

14 ft

10.

31.5 cm

11. r = 42 cm 12. r = 15 yd 13. d = 31 m

14. a tire with a radius of 22 centimeters

15. a helicopter pad with a diameter of 15 yards

16. PLANTS The world’s largest flower, the Giant Rafflesia, is 91 centimeters in diameter. Use a calculator to find the circumference of a Giant Rafflesia to the nearest tenth.

17. GEOLOGY Ubehebe Crater in Death Valley has a diameter of a little more

than 1 −

2 mile. If Latisha walks around its rim at a rate of 2 miles per hour,

about how long will it take her to walk all the way around the crater? Find your answer to the nearest tenth. Use 3.14 for π.

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Course 2 • Chapter 8 Measure Figures 121

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.Lesson 2 Homework PracticeArea of Circles

Find the area of each circle. Round to the nearest tenth. Use 3.14 or 22 −−

7

for π.

1.

7.1 m

2.

12 ft

3.

13 km

4. 4 in.

5.

42 yd

6.

5.6 cm

7. diameter = 9.4 mm 8. radius = 3 1 −

2 ft 9. radius = 8 in.

Find the area of each semicircle. Round to the nearest tenth. Use 3.14 for π.

10.

3.8 yd

11. 6.1 m

12.

14 cm

13. SPOTLIGHT A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is the maximum area that can be effectively lit by the spotlight?

14. ARCHERY The bull’s eye on an archery target

3 in.

9 in.

has a radius of 3 inches. The entire target has a radius of 9 inches. To the nearest tenth, find the area of the target outside of the bull’s eye.

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Course 2 • Chapter 8 Measure Figures 123

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.Lesson 3 Homework PracticeArea of Composite Figures

Find the area of each figure. Round to the nearest tenth if necessary.

1.

5 mi

12 mi

8 mi18 mi

2.

5.9 cm

3.6 cm

1.1 cm

4.8 cm

3.

5 ft

4 ft

4. 6 m8 m

10 m 6 m

20 m

5.

8 yd

9 yd 6.

4 in.

12 in.

7 in.

9 in.

In each diagram, one square unit represents 10 square centimeters. Find the area of each figure. Round to the nearest tenth if necessary.

7. 8.

9. GAZEBO The Parks and Recreation department is building a gazebo in the local park with the dimensions shown in the figure. What is the area of the floor?

10. DECK The Pueyo family wants to paint the deck around their swimming pool with the dimensions shown in the figure. If a gallon covers 200 square feet, how many gallons of paint are needed to apply two coats of paint?

24 ft

36 ft24 ft

12 ft

30 ft

18 ft

5 m

11 m4 m

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Course 2 • Chapter 8 Measure Figures 125

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.Lesson 4 Homework PracticeVolume of Prisms

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

1.

10 in.

5 in.7 in.

2.

6 m

8 m

12 m

3. 4.2 ft2 ft

3.5 ft

4.

1.1 mm

2.6 mm

1.5 mm

5.

4 yd

3 yd 5 yd

6.

2.6 m5.1 m

4.1 m

ESTIMATION Estimate to find the approximate volume of each prism.

7. 6 yd78

4 yd14

3 yd18

8.

4.8 m

5.9 m

6.1 m

9. MAIL The United States Post Office has two different priority mail flat

rate boxes. Which box has the greater volume? Justify your answer.

Box 1: 6 1 −

2 in. × 8 1 −

2 in. × 11 in. Box 2: 3 3 −

8 in. × 11 7 −

8 in. × 13 5 −

8 in.

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Course 2 • Chapter 8 Measure Figures 129

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.Lesson 5 Homework PracticeVolume of Pyramids

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

1. 5 ft

2 ft2 ft

2.

1.4 m

2.4 m

1.8 m

3.

3 yd

4 yd23

3 yd13

4.

6.4 m

2.6 m10.8 m

Find the height of each pyramid.

5. square base with edge 15 feet and volume 1,350 cubic feet

6. triangular base with base edge 12 inches and base height 9 inches, and volume 108 cubic inches

7. GREAT PYRAMID The Great Pyramid has a height of about 480.7 feet and base edges about 756 feet. The base is almost square. Find the approximate volume of this pyramid.

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Course 2 • Chapter 8 Measure Figures 131

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.Lesson 6 Homework PracticeSurface Area of Prisms

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

1.

2 ft6 ft

3 ft

2.

1.6 m

5.5 m

1.2 m

3.

8 yd14

6 yd

12 yd

23

4. 3 m

2 m

4 m 5.

5 ft3 ft

4.8 ft

6.

9 mm5.2 mm4 mm

6.6 mm

7. 12 in.

8.1 in.

8.1 in.

8.1 in.

area of base 28.4 in2

8. BIRTHDAY GIFT When wrapping a birthday gift in the shape of a rectangular prism for his mother, Kenji adds an additional 2.5 square feet of gift wrap to allow for overlap. How many square feet of gift wrap will Kenji use to wrap a gift 3.5 feet long, 18 inches wide, and 2 feet high?

9. CONTAINERS A company needs to package hazardous chemicals in special plastic rectangular prism containers that hold 80 cubic feet. Find the whole number dimensions of the container that would use the least amount of plastic.

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Course 2 • Chapter 8 Measure Figures 133

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.Lesson 7 Homework PracticeSurface Area of Pyramids

Find the total surface area of each pyramid. Round to the nearest tenth if necessary.

1. 11 in.

9 in.9 in.

2. 18 ft

24 ft

24 ft

3.

15 cm

8 cm8 cm

8 cm

area of base27.7 cm2

4.

9 m

18 m

9 m

9 m

area of base35.1 m2

5.

20 ft

20 ft

16.3 ft 6. 16 in.

13 in.13 in.

7.

12 m

10 m10 m

10 m

area of base43.3 m2

8.

7 m7 m

7 m

area of base21.2 m2

7 m

9. MODEL HOUSE Baron built a square pyramid block to use as the roof of a model house he was making. The square base had sides of length 8 inches and the slant height was 6 inches. Find the surface area of the block. Round to the nearest tenth.

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Course 2 • Chapter 8 Measure Figures 135

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.Lesson 8 Homework PracticeVolume and Surface Area of Composite Figures

Find the volume of each composite figure.

1.

2 ft1.5 ft

4 ft

2 ft 2.

6 cm

6 cm

6 cm

5 cm

5 cm

0.5 cm

0.5 cm

0.5 cm 3.

13 m

4 m

5 m5 m

4. TABLE Rina is building a table as shown in the figure. Find the volume of wood she needs for the table. The table legs are 24 inches tall with a length and width of 2 inches.

Find the surface area of each composite figure.

5.

3 cm

6 cm 12 cm

7 cm

4 cm

6. 8 cm

3.6 cm

3.6 cm

2 cm

3 cm

2 cm

6 cm

7.

3.6 ft

3.6 ft2 ft

3.6 ft

4 ft

area of base5.6 ft2

1 in.30 in.

20 in.

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