Full text

(1)

9.1 Areas of Rectangles and Squares

1. 24 m

2

2. 98 cm

2

3. 64 mm

2

4. 192 cm

2

5. 576 m

2

6. 195 mm

2

7. 70 in.

2

8. 180 mm

2

9. 169 ft.

2

10. 1.5 m

2

11. 361 in.

2

12. 33 cm

2

13. 36 cm

2

14. 102 m

2

15. 81 m

2

(2)

Section 9.1

19. 49 mm

2

20. 70.56 mm

2

21. 256 ft.

2

22. 484 mm

2

23. 20.25 in.

2

24. 57.76 cm

2

25. 44 cm

2

26. 4.25 cm

2

27. 40 m

2

28. 5.44 m

2

29. 148 mm

2

30. 6 m

2

31. $1,680

32. 19 ft.

33. 6,600 yd.

2

34. 9

(3)

Section 9.1

37. 8,553,600 in.

2

38.

a

2

;

b

2

;

a

+

b

;

a

2

+

b

2

39. The legs of the triangles

(

a

and

b

) are equal, so the

hypotenuses are also.

40.

c

2

; the areas are equal;

a

2

+

b

2

=

c

2

41–43.

44.

R

45.

GH

46.

E

(4)

9.2 Areas of Parallelograms and Triangles

1. 63 mm2 2. 114 m2

3. 110.76 cm2 4. 30 mm2 5. 26 cm2

6. 113.75 km2 7. 117 in.2 8. 104 ft.2 9. 35 cm2

(5)

Section 9.2

19. 37.5 m2 20. 224 cm2 21. 5.85 cm2 22. 28.88 m2 23. 8 km 24. 6.5 mm 25. 360 cm2 26. 416 cm2 27. 72 cm2 28. 21 in.2

(6)

Section 9.2

38. not necessarily; it may not have right angles;

parallelogram 39. 5 ft.

40. 23.3 ft.; AC

41. 26 42. 52

43. 19

24

44. 20 45. 44

46. 2 2

27

47. x = 12

48. x = 18

49. x = 5.6

(7)

9.3 Areas of Trapezoids

1. 36 m

2

2. 72 in.

2

3. 18 ft.

2

4. 80 cm

2

5. 162 m

2

6. 18 ft.

2

7. 36.4 in.

2

8. 33.6 ft.

2

9. 78 m

2

10. 464 m

2

11. 126.5 cm

2

12. 47.5 in.

2

13. 82.5 ft.

2

14. 94.5 in.

2

15. 27.15 cm

2

16. 53.3 m

2

17. 123.41 ft.

2

(8)

Section 9.3

19. 89 m

2

20. 242.4 in.

2

21. 45.53 in.

2

22.

h

= 8 ft.

23.

h

= 12 cm

24.

h

= 5 m

25.

h

= 7 in.

26.

h

= 11 m

27.

h

= 17 cm

28.

h

= 14 ft.

29.

h

= 6 in.

30.

h

= 5.2 cm

31. 38.75 in.

2

32. 0.798 cm

2

33. 96 in.

2

34. first trapezoid; 2 m

2

larger

35.

h

= 14 in.

(9)

Section 9.3

37.

b

2

= 4 cm

38.

b

2

= 10 in.

39.

b

2

= 9 ft.

40.

b

2

= 15 m

41. Answers will vary.

42. 4

43. 4

44. 3

45. 117%

46. 60%

47. 85%

48. 60 ft.

49. 8.9 m

50. 34.2 cm

(10)

9.4 Areas of Circles

1. 9

2. 3.5

3. 11

4. 8

5. 13.5

6. 7.25

7. 12.56 in.

2

8. 78.5 m

2

9. 7.065 m

2

10. 50.24 mm

2

11. 1.1304 cm

2

12. 9.0746 m

2

13. 254.34 mm

2

14. 706.5 m

2

15. 113.04 in.

2

16. 30.1754 cm

2

17. 0.785 km

2

(11)

Section 9.4

19. 154 ft.

2

20. 1,386 cm

2

21. 616 m

2

22. 346.5 m

2

23. 127.17 m

2

24. 25.12 in.

2

25. 2,826 ft.

2

26. Larry; 44 in.

2

27. 16π ft.

28. 24π dm

29. 30π m

30. 18π cm

31. 6π in.

32. 26π in.

33. 520.96 cm

2

34. 50.24 in.

2

35. 42.14 m

2

(12)

Section 9.4

37. 100.48 cm

2

38. 28.5 m

2

39. 75.4 in.; 377 in.

40. 6.3 ft.; 31.5 ft.

41. 1,676.2 revolutions

42. 102 cm

2

43. 51.84 in.

2

44. 95 m

2

45. 257.48 ft.

2

46. 113.955 cm

2

47. 93 m

2

48. 3

5

7

49. 2

3

3

3

50. 2

2

3

5

7

(13)

9.5 Areas of Similar Figures

1. 128 m

2

2. 162 cm

2

3. 27 ft.

2

4. 13.5 in.

2

5. 160 m

2

6. 112 cm

2

7. 16 ft.

2

8. 117 in.

2

9. 28 m

2

10. 36 cm

2

11. 58.5 m

2

12. 180 in.

2

13. 24 m

2

14. 12 cm

2

15. 73.5 ft.

2

16. 45 in.

2

17. 96 in.

2

(14)

Section 9.5

19. 100 m

2

20. 85.5 cm

2

21. 3 dm

22. 8 in.

23. 12 ft.

24. 12 m

25.

32

≈ 5.7 cm

26.

40

≈ 6.3 in.

27. 4 m

28. 6 ft.

29.

150

≈ 12.2 m

30.

216

≈ 14.7 cm

31. 4 : 1

32. 9 : 4

33. 24 in.

2

34. 96 in.

2

35. 8 rectangles

(15)

Section 9.5

37. She can cut 4 times more

of the smaller rectangles

because the ratio of the

areas of the rectangles is

4 : 1.

38. 87.92 ft.

39. 440 ft.; 7.3 ft./sec.

40. 402 ft.

3

/sec.

41. $2.09/lb.

42. $6.75/hr.

43. 47.1 cm

44. 37.68 in.

45. 36.11 m

46. 23.04 m

2

47. 42 in.

2

48. 61.75 ft.

2

49. 8 m

(16)

Problem Solving 9—Reduce to a Simpler Problem

1.

v

– 3

2.

(

3

)

2 v v−

3. 204

4. 1 square on a 1

×

1

5 squares on a 2

×

2

14 squares on a 3

×

3

1

2

+ 2

2

+ …. +

n

2

squares

on an

n

×

n

checkerboard

5. 66 handshakes

6. 5; 1

×

48, 2

×

24, 3

×

16,

4

×

12, 6

×

8

7.

A

= 48 for all; the largest

perimeter is

p

= 98 for

1

×

48; the smallest is

p

= 28 for 6

×

8

8. 90 games

(17)

9.6 Surface Area

1. rectangular prism

2. triangular prism

3. circular cylinder

4. pentagonal pyramid

5. sphere

6. rectangular pyramid

7. triangular pyramid

8. circular cone

9. cube

10. hexagonal prism

11. rectangular prism

12. circular cylinder

13. true

14. false

15. false

16. false

17. true

(18)

Section 9.6

19. 6; 12; 8

20. 6; 12; 8

21. 5; 8; 5

22. 5; 9; 6

23. 4; 6; 4

24. 6; 10; 6

25. 96 cm

2

26. 228 m

2

27. 72 cm

2

28. 482 m

2

29. 1,152 mm

2

30. 37.5 cm

2

31. 336 m

2

32. 307 cm

2

33. 400 cm

2

34. 269 ft.

2

35. 744 m

2

(19)

Section 9.6

37. 8 cm

38. 15 in.

39. 1

st

box:

S

= 268 in.

2

;

2

nd

box:

S

= 306 in.

2

;

1

st

box uses 38 in.

2

less

40. 115,920 m

2

41. 5,406 cm

2

42. 511 km

2

(Answers may

vary.)

43. Overestimate; the

rectangles formed are

larger than the actual

lake.

44. The number of rectangles

increases.

45. It gets closer to the actual

area.

46. 53°

47. 51°

(20)

Section 9.6

49. 13

50. 108

51. 615.44 in.

2

52. 38.465 cm

2

53. 200.96 ft.

2

54. $442

(21)

9.7 Volumes of Prisms

1. 504 cm

3

2. 128 in.

3

3. 972 ft.

3

4. 1,620 cm

3

5. 346.5 m

3

6. 1,339.2 in.

3

7. 756 cm

3

8. 1,632 m

3

9. 576 cm

3

10. 1,586.5 m

3

11. 512 cm

3

12. 810 m

3

13. 7,992 cm

3

14. 378 m

3

15. 476 mm

3

16. 2,208 m

3

17. 99 in.

3

(22)

Section 9.7

19. 570 ft.

3

20. 585 mm

3

21. 750 in.

3

22. 766.64 m

3

23. 126.36 ft.

3

24. 417.6 mm

3

25. 551.368 in.

3

26. 146.452 ft.

3

27. 7 cm

28. 19 in.

29. 11 ft.

30. 16 m

31. 20 in.

32. 14 cm

33. 12 m

2

34. 11 cm

35. 3 cm

(23)

Section 9.7

37. 120,000 cm

3

38. 7.5 ft.

3

39. two 8-cm cubes; 24 cm

3

greater

40. 576 cm

3

41. 392 m

3

42. 1,880 in.

3

43. 1,290 ft.

3

44. 14π

45. 22π

46. 28π

47. 18.25 cm <

l

< 18.35 cm

48. 14.275 mm <

l

< 14.285 mm

49. 1

5

12

50.

9

10

51.

7

32

52. 63 fish

(24)

9.8 Surface Area and Volume of Circular Cylinders

1. 2,122.64 in.3 2. 1,256 mm3 3. 401.92 cm3 4. 461.58 ft.3 5. 395.64 in.3 6. 2,009.6 m3 7. 117.75 cm3 8. 1,435.61 ft.3 9. 725.97 mm3

(25)

Section 9.8

19. 2,411.52 ft.3 20. 2,198 in.3 21. 244.92 cm2 22. 653.12 ft.2 23. 866.64 m2 24. 653.12 in.2 25. 1,281.12 cm2 26. 1,243.44 dm2 27. 251.2 in.2 28. 615.44 m2

29. 176.6 in.3; 180.6 in.2 30. 1,448.4 m3; 708.6 m2

31. 2,918.6 cm3; 1,510.3 cm2 32. 1,627.8 ft.3; 870.4 ft.2 33. 5,699.1 ft.3; 1,796.1 ft.2 34. 1,307.8 dm3; 681.4 dm2 35. 3,629.8 in.3; 1,307.8 in.2 36. 604.5 cm3; 446.1 cm2 37. 4 cm

(26)

Section 9.8

39. 145.2 in.2 40. 68,090.8 ft.3 41. 1,642.14 ft.2 42. 80 in.2

43. 225 cm2 44. 40 m2

45. triangular pyramid: 4 faces; 6 edges; 4 vertices

46. rectangular prism: 6 faces; 12 edges; 8 vertices

47. triangular prism: 5 faces; 9 edges; 6 vertices

48. pentagonal prism: 7 faces; 15 edges; 10 vertices

(27)

Math and Scripture 9

1. to measure accurately and

fairly

2. 42 ft.

×

6 ft.

3. 13.5 ft.

×

6 ft.

4. 3.75 ft.

×

2.25 ft.

×

2.25 ft.

5. 450 ft.

×

75 ft.

×

45 ft.

6. 252 ft.

2

7. 81 ft.

2

8. 43.875 ft.

2

9. 114,750 ft.

2

10. 1,912.5 gal.

11. 19 ft.

3

(28)

Chapter 9 Review

1. 136 m

2

2. 84.64 cm

2

3. 28 cm

2

4. 48 m

2

5. 108 mm

2

6. 45 m

2

7. 131.04 mm

2

8. 7 cm

9. 16 in.

10. 58.5 cm

2

11. 224.455 in.

2

12. 229.9 in.

2

13. 12 m

14. 201 cm

2

15. 95 m

2

16. 154 cm

2

17. 40π ft.

(29)

Chapter 9 Review

19. 226.08 mm

2

20. 226.08 in.

2

21. 150 cm

2

22. 81 ft.

2

23. 58.5 m

2

24. 4 in.

25. 18 cm

26. 3 dm

27. triangular prism

28. circular cylinder

29. rectangular pyramid

30. 5 faces, 8 edges,

5 vertices

31. 297 m

2

32. 516 mm

2

33. 36 ft.

2

34. 125 m

3

35. 324 cm

3

(30)

Chapter 9 Review

37. 8 in.

38. 1,727 cm

2

39. 351.68 in.

2

40. 1,387.88 m

2

41. 4,537.3 ft.

3

42. 2,441.664 in.

3

43. God commanded His

people to be fair and

just in their use of

weights and

Figure

Updating...

References

Related subjects :