1

1.

Square ABCD has perimeter x cm. What is its area in terms of x?

ANSWERS

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B.

C.

D.

Question2.

A parallelogram has base of 12 cm and height of 7 cm. What is its area?

ANSWERS

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16 cm²

B.

81 cm²

C.

84 cm²

D.

420 cm²

Question3.

Find the area of a parallelogram with a base of 23 ft, sides of 17 ft each, and an altitude of 16 ft.

ANSWERS

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272 ft²

B.

391 ft²

C.

79 ft

D.

368 ft²

Question4.

A rectangle has base c and height d. Which formula gives its area?

ANSWERS

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A = c²

B.

A = d²

C.

A = cd

D.

A = 2c + 2d

Question5.

What dimensions are possible for a triangle with area 64 cm²?

ANSWERS

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b = 8 cm, h = 8 cm

B.

b = 4 cm, h = 16 cm

C.

b = 8 cm, h = 16 cm

D.

b = 6 cm, h = 8 cm

Question6.

A trapezoid has an area of 56 in.2. One base is 6 in. and the height is 8 in. What is the length of the other base?

ANSWERS

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6 in.

B.

8 in.

C.

10 in.

D.

14 in.

Question7.

What is the exact area of a circle with a radius of 11 mi?

ANSWERS

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121

B.

11

C.

22

D.

5.5

Question8.

What is the exact area of a circle with a radius of m?

ANSWERS

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2

B.

C.

D.

Question9.

What is the exact area of a circle with a diameter of 1.2 in.?

ANSWERS

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2.4

B.

0.36

C.

1.44

D.

0.18

Question10.

Which space figure has three lateral faces that are triangles?

ANSWERS

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triangular pyramid

B.

pentagonal prism

C.

square prism

D.

triangular prism

Question11.

Which space figure has six faces that are all regular quadrilaterals?

ANSWERS

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triangular pyramid

B.

pentagonal prism

C.

square prism

D.

triangular prism

Question12.

How many faces does a rectangular prism have?

ANSWERS

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two

B.

four

C.

six

D.

eight

Question13.

Which figure would need more paint to cover its surface area: a square prism with a length and width of 5 cm each, and height of 8 cm, or a cylinder with a diameter of 5 cm and height of 10 cm?

ANSWERS

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the square prism

B.

the cylinder

C.

they would need the same

D.

cannot be determined

Question14.

Each edge of a cube is 40 cm long. What is the surface area of the cube if you use the conversion: 2.5 cm ≈ 1 in.?

ANSWERS

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256 in.²

B.

1,536 in.²

C.

3,840 in.²

D.

9,600 in.²

Question15.

If a cylinder has height of 10 in. and base radius of 2.5 in., what is its lateral area, to the nearest whole unit?

ANSWERS

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235 in.²

B.

215 in.²

C.

196 in.²

D.

157 in.²

Question16.

What is the ratio of the surface area of a sphere with a radius of 2 ft to the surface area of a sphere with a radius of 5 ft?

ANSWERS

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2 to 5

B.

4 to 25

C.

16 to 125

D.

18 to 20

Question17.

If a globe has a diameter of 18 inches, what is the surface area of the globe to the nearest square inch?

ANSWERS

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226 in.²

B.

254 in.²

C.

1,018 in.²

D.

4,072 in.²

Question18.

One side of a triangle is 5 cm and its corresponding height is 15 cm. The triangle is the base of a triangular prism with a height 5 cm. What is the volume of the prism?

ANSWERS

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12.5 cm³

B.

37.5 cm³

C.

187.5 cm³

D.

375.0 cm³

Question19.

What is the height of a rectangular prism with a length of 5 ft, a width of 2 ft, and a volume of 120 ft³?

ANSWERS

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12 ft

B.

10 ft

C.

6 ft

D.

2 ft

Question20.

If a rectangle has a perimeter of 24 and the length and width are integers, which of the following dimensions would give the least possible area?

ANSWERS

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1 by 11

B.

1 by 24

C.

2 by 4

D.

6 by 6

Question21.

If a pyramid and a rectangular prism have the same base and height, the volume of the rectangular prism is how many times the volume of the pyramid?

ANSWERS

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B.

C.

2

D.

3

Question22.

What is the volume of a square pyramid with a height of 3.25 yd and base edges of 5.5 yd, to the nearest tenth of a cubic yard?

ANSWERS

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65.6 yd³

B.

32.8 yd³

C.

16.4 yd³

D.

33 yd³

Question23.

What is the volume of a sphere with diameter 5.5 m, when rounded to the nearest cubic meter?

ANSWERS

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261 m³

B.

22 m³

C.

87 m³

D.

90 m³

Question24.

Using 3.14 for , what is the volume of a cone with a radius of 4.8 cm and a height of 1.2 cm, to the nearest tenth of a cubic centimeter?

ANSWERS

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28.9

B.

15.1

C.

72.3

D.

87.8

Question25.

How many cones with a radius of 1 m and a height of 1 m would you need to have a total volume equal to the volume of a sphere with radius 1 m?

ANSWERS

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2

B.

3

C.

4

D.

5

Question26.

A rectangular prism with a height of 5 cm has a volume of 60 cm³. What is the base area?

ANSWERS

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6 cm²

B.

4 cm²

C.

12 cm

D.

12 cm²

Question27.

The base of a square prism has sides of 14 in. and a height of 5 in. What is the surface area of the prism?

ANSWERS

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112 in.²

B.

196 in.²

C.

672 in.²

D.

280 in.²

Question28.

A trapezoid has a height of 8 and an area of 28. If one base is 2, what is the other base?

ANSWERS

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3

B.

1

C.

5

D.

6

Question29.

Figure A is a rectangle 10 in. long and 7.5 in. wide. Figure B is a parallelogram with a height of 12 in. and a base length of 7.5 in. Which of the following statements is true?

ANSWERS

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area of A > area of B

B.

area of A < area of B

C.

area of A = area of B

D.

area cannot be determined

Question30.

Suppose you are painting a wall using a paint roller with a diameter of 3 in., and a roller length of 9 in. Which of the following is the closest area that the roller will cover in one complete roll?

ANSWERS

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28 in.²

B.

81 in.²

C.

84 in.²

D.

85 in.²

Question31.

The perimeter of a square is 72 in. What is its area?

ANSWERS

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72 in.²

B.

18 in.²

C.

324 in.²

D.

36 in.²

Question32.

A triangle has an area of 36 cm² and a base of 6 cm. What is the height of the triangle?

ANSWERS

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12 cm

B.

6 cm

C.

36 cm

D.

18 cm

Question33.

A room is 18 ft long, 14 ft wide, and 8 ft high. Find the cost of carpeting the floor with carpet costing $5/ft².

ANSWERS

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$320

B.

$90

C.

$252

D.

$1260

Question34.

Using the same room dimensions as #33, find the cost of painting the four walls with two coats of paint costing $9.50 a gallon. Each gallon covers 256 ft².

ANSWERS

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$100

B.

$38

C.

$19

D.

$72

Question35.

Find the surface area of a hemisphere with diameter 70 cm.

ANSWERS

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11,539.5²

B.

7,693²

C.

659.4²

D.

46,158 cm²

Question36.

A tent is in the shape of a triangular prism with the base side of 8 feet and a height of 6 feet. The length of the prism is 8 feet. What is the volume of the tent?

ANSWERS

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384 ft³

B.

96 ft³

C.

192 ft³

D.

48 ft³

Question37.

Figure A is a rectangle 10 in. long and 7.5 in. wide. Figure B is a parallelogram with height 12 in. and base length 7.5 in. Which statement is true?

ANSWERS

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area of A > area of B

B.

area of A < area of B

C.

area of A = area of B

D.

cannot be determined

Question38.

The height of a rectangle is doubled while the base is unchanged. How does this affect the area?

ANSWERS

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The area stays the same.

B.

The area doubles.

C.

The area is four times as big.

D.

The area is half as big.

Question39.

A ______________ has two parallel bases that are congruent circles.

ANSWERS

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cone

B.

sphere

C.

cylinder

D.

net

Question40.

A trapezoid has height 8 and area 28. What are the lengths of its bases?

ANSWERS

 

 

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6 and 1

B.

5 and 2

C.

4 and 3

D.

cannot be determined

 

Unit 3 Evaluation Evaluation 03 Pre-Algebra 2 (MTHH 022 256) This evaluation will cover the lessons in this unit. It is open book, meaning you can use your textbook, syllabus, and other course materials. You will need to understand, analyze, and apply the information you have learned in order to answer the questions correctly. To submit the evaluation by mail, follow the directions on your Enrollment Information Sheet. To take the evaluation online, access the online version of your course; use the navigation panel to access the prep page for this evaluation and follow the directions provided. Note: Only a four-function calculator may be used on unit evaluations. You may also use scratch paper to work out the solutions. Multiple-Choice Select the response that best completes the statement or answers the question. _____ 1. Square ABCD has perimeter x cm. What is its area in terms of x? a. b. c. d. x2 cm2 16 4 x 2 cm2 x2 4 x cm2 cm 2 16 _____ 2. A parallelogram has base of 12 cm and height of 7 cm. What is its area? a. b. c. d. _____ 16 cm 2 81 cm 2 84 cm 2 420 cm 2 3. Find the area of a parallelogram with a base of 23 ft, sides of 17 ft each, and an altitude of 16 ft. a. b. c. d. Unit 3 Evaluation 272 ft2 391 ft2 79 ft 368 ft2 153 MTHH 022 _____ 4. A rectangle has base c and height d. Which formula gives its area? a. b. c. d. _____ 5. What dimensions are possible for a triangle with area 64 cm 2? a. b. c. d. _____ A = c2 A = d2 A = cd A = 2c + 2d b = 8 cm, h = 8 cm b = 4 cm, h = 16 cm b = 8 cm, h = 16 cm b = 6 cm, h = 8 cm 6. A trapezoid has an area of 56 in.2. One base is 6 in. and the height is 8 in. What is the length of the other base? a. b. c. d. _____ _____ 6 in. 8 in. 10 in. 14 in. 7. What is the exact area of a circle with a radius of 11 mi? a. 121 ? mi b. 11 ? mi 2 c. 22 ? mi 2 d. 5.5 ? mi 2 2 8. What is the exact area of a circle with a radius of 1 m? 2 a. 2? m b. ? m2 c. d. 1 2 1 4 _____ 2 ? m2 ? m2 9. What is the exact area of a circle with a diameter of 1.2 in.? Unit 3 Evaluation a. 2.4 ? in. b. 0.36 ? in. c. 1.44 ? in. d. 0.18 ? in. 2 2 2 2 154 MTHH 022 _____ 10. Which space figure has three lateral faces that are triangles? a. b. c. d. triangular pyramid pentagonal prism square prism triangular prism _____ 11. Which space figure has six faces that are all regular quadrilaterals? a. b. c. d. triangular pyramid pentagonal prism square prism triangular prism _____ 12. How many faces does a rectangular prism have? a. b. c. d. two four six eight _____ 13. Which figure would need more paint to cover its surface area: a square prism with a length and width of 5 cm each, and height of 8 cm, or a cylinder with a diameter of 5 cm and height of 10 cm? a. b. c. d. the square prism the cylinder they would need the same cannot be determined _____ 14. Each edge of a cube is 40 cm long. What is the surface area of the cube if you use the conversion: 2.5 cm ≈ 1 in.? a. b. c. d. 256 in.2 1,536 in.2 3,840 in.2 9,600 in.2 _____ 15. If a cylinder has height of 10 in. and base radius of 2.5 in., what is its lateral area, to the nearest whole unit? a. b. c. d. Unit 3 Evaluation 235 in.2 215 in.2 196 in.2 157 in.2 155 MTHH 022 _____ 16. What is the ratio of the surface area of a sphere with a radius of 2 ft to the surface area of a sphere with a radius of 5 ft? a. b. c. d. 2 to 5 4 to 25 16 to 125 18 to 20 _____ 17. If a globe has a diameter of 18 inches, what is the surface area of the globe to the nearest square inch? a. b. c. d. 226 in.2 254 in.2 1,018 in.2 4,072 in.2 _____ 18. One side of a triangle is 5 cm and its corresponding height is 15 cm. The triangle is the base of a triangular prism with a height 5 cm. What is the volume of the prism? a. b. c. d. 12.5 cm 3 37.5 cm 3 187.5 cm 3 375.0 cm 3 _____ 19. What is the height of a rectangular prism with a length of 5 ft, a width of 2 ft, and a volume of 120 ft3 ? a. b. c. d. 12 ft 10 ft 6 ft 2 ft _____ 20. If a rectangle has a perimeter of 24 and the length and width are integers, which of the following dimensions would give the least possible area? a. b. c. d. Unit 3 Evaluation 1 by 11 1 by 24 2 by 4 6 by 6 156 MTHH 022 _____ 21. If a pyramid and a rectangular prism have the same base and height, the volume of the rectangular prism is how many times the volume of the pyramid? a. b. c. d. 1 3 1 2 2 3 _____ 22. What is the volume of a square pyramid with a height of 3.25 yd and base edges of 5.5 yd, to the nearest tenth of a cubic yard? a. b. c. d. 65.6 yd3 32.8 yd3 16.4 yd3 33 yd3 _____ 23. What is the volume of a sphere with diameter 5.5 m, when rounded to the nearest cubic meter? a. b. c. d. 261 m3 22 m3 87 m3 90 m3 _____ 24. Using 3.14 for p , what is the volume of a cone with a radius of 4.8 cm and a height of 1.2 cm, to the nearest tenth of a cubic centimeter? a. b. c. d. 28.9 15.1 72.3 87.8 _____ 25. How many cones with a radius of 1 m and a height of 1 m would you need to have a total volume equal to the volume of a sphere with radius 1 m? a. b. c. d. Unit 3 Evaluation 2 3 4 5 157 MTHH 022 _____ 26. A rectangular prism with a height of 5 cm has a volume of 60 cm 3. What is the base area? a. b. c. d. 6 cm 2 4 cm 2 12 cm 12 cm 2 _____ 27. The base of a square prism has sides of 14 in. and a height of 5 in. What is the surface area of the prism? a. b. c. d. 112 in.2 196 in.2 672 in.2 280 in.2 _____ 28. A trapezoid has a height of 8 and an area of 28. If one base is 2, what is the other base? a. b. c. d. 3 1 5 6 _____ 29. Figure A is a rectangle 10 in. long and 7.5 in. wide. Figure B is a parallelogram with a height of 12 in. and a base length of 7.5 in. Which of the following statements is true? a. b. c. d. area of A > area of B area of A < area of B area of A = area of B area cannot be determined _____ 30. Suppose you are painting a wall using a paint roller with a diameter of 3 in., and a roller length of 9 in. Which of the following is the closest area that the roller will cover in one complete roll? a. b. c. d. 28 in.2 81 in.2 84 in.2 85 in.2 _____ 31. The perimeter of a square is 72 in. What is its area? a. b. c. d. Unit 3 Evaluation 72 in.2 18 in.2 324 in.2 36 in.2 158 MTHH 022 _____ 32. A triangle has an area of 36 cm 2 and a base of 6 cm. What is the height of the triangle? a. b. c. d. 12 cm 6 cm 36 cm 18 cm _____ 33. A room is 18 ft long, 14 ft wide, and 8 ft high. Find the cost of carpeting the floor with carpet costing $5/ft2. a. b. c. d. $320 $90 $252 $1260 _____ 34. Using the same room dimensions as #33, find the cost of painting the four walls with two coats of paint costing $9.50 a gallon. Each gallon covers 256 ft2. a. b. c. d. $100 $38 $19 $72 _____ 35. Find the surface area of a hemisphere with diameter 70 cm. a. b. c. d. 11,539.5 cm 2 7,693 cm 2 659.4 cm 2 46,158 cm 2 _____ 36. A tent is in the shape of a triangular prism with the base side of 8 feet and a height of 6 feet. The length of the prism is 8 feet. What is the volume of the tent? a. b. c. d. 384 ft3 96 ft3 192 ft3 48 ft3 _____ 37. Figure A is a rectangle 10 in. long and 7.5 in. wide. Figure B is a parallelogram with height 12 in. and base length 7.5 in. Which statement is true? a. b. c. d. Unit 3 Evaluation area of A > area of B area of A < area of B area of A = area of B cannot be determined 159 MTHH 022 _____ 38. The height of a rectangle is doubled while the base is unchanged. How does this affect the area? a. b. c. d. The area stays the same. The area doubles. The area is four times as big. The area is half as big. _____ 39. A ______________ has two parallel bases that are congruent circles. a. b. c. d. cone sphere cylinder net _____ 40. A trapezoid has height 8 and area 28. What are the lengths of its bases? a. b. c. d. 6 and 1 5 and 2 4 and 3 cannot be determined Carefully check your answers on this evaluation and make any corrections you feel are necessary. When you are satisfied that you have answered the questions to the best of your ability, transfer your answers to an answer sheet. Please refer to the information sheet that came with your course materials. Unit 3 Evaluation 160 MTHH 022