Chapter 11 Review Problems similar to what you will see on the chapter 11 exam. Exam 4/22/13 and retest 4/24/13 1.

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Chapter 11 ReviewProblems similar to what you will see on the chapter 11 exam.

Exam 4/22/13 and retest 4/24/13

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1. Use Euler’s Formula to find the missing number.

Faces: 23Vertices: 12Edges: ?

11-1

A. B. C. D.

15%

0%

69%

15%

A. 36B. 34C. 33D. 32

3

1. Use Euler’s Formula to find the missing number.

Faces: 23Vertices: 12Edges: ?

11-1

The correct answer is C. 33

42. Pierre built the model shown in the diagram below for a social studies project. He wants to be able to show the inside of his model, so he sliced the figure as shown. Describe the cross section he created.

11-1

A. B. C. D.

14%

0%0%

86%

A. hexagonB. pentagonC. pyramidD. rectangle

5

Cross sections are always 2 dimensional. This one has 5 sides making it a pentagon.

11-1

63. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number.

11-2

A. B. C. D.

21% 21%

43%

14%

13 cm1.34 cm 5 cm

Not drawn to scale

A. 24 cm2; 243 cm2

B. 24 cm2; 178 cm2

C. 48 cm2; 178 cm2

D. 48 cm2; 243 cm2

7

13 cm1.34 cm 5 cm

Not drawn to scaleLA = phLA = (13+5+13+5)(1.34)LA = 48.24 48 cm2

SA = ph + 2BSA = 48.24 + 2(13*5)SA = 48.24 + 130SA = 178.24 178 cm2

11-2

8

4. Find the surface area of the cylinder in terms of .

11-2

A. B. C. D.

50%

14%

7%

29%

18 cm

15 cm

Not drawn to scale

A. 1188 cm2

B. 702 cm2

C. 918 cm2

D. 432 cm2

9

SA = 2rh + 2r2

SA = 2 (9)(15) + 2 (9)2 SA = 270 + 162 SA = 432 cm2

11-2 18 cm

15 cm

Not drawn to scale

10

5. The lateral area of a cone is 646 cm2. The radius is 38 cm. Find the slant height to the nearest tenth.

11-3

A. B. C. D.

21%

7%7%

64%

A. 17 cmB. 15.6 cm C. 10.4 cm D. 9.7 cm

11

LA = 646 = (38)646 = 3817 =

11-3

12

6. Find the surface area of a conical grain storage tank that has a height of 44 meters and a diameter of 16 meters. Round the answer to the nearest square meter.

11-3

A. B. C. D.

14%7%

14%

64%

A. 1124 m2

B. 1325 m2

C. 2449 m2

D. 3052 m2

13

SA = SA = SA = 1325.032287SA 1325 m2

11-3

14

7. Find the surface area of the regular pyramid shown to the nearest whole number.

11-3

A. B. C. D.

36%

7%

50%

7%

A. 540 m2

B. 889 m2

C. 574 m2

D. 914 m2

15 11-3

16

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

11-4

A. B. C. D.

0%7%

14%

79%

10.2 cm

7.6 cm

4.4 cm

Not drawn to scale

A. 333.5 cm3

B. 341.1 cm3

C. 311.7 cm3

D. 345.5 cm3

17 11-4

10.2 cm

7.6 cm

4.4 cm

Not drawn to scale

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

11-4

A. B. C. D.

50%

7%

21%21%

A. 17 m3

B. 34 m3

C. 8.5 m3

D. 1 m3

19 11-4

20

10. Find the volume of the cylinder in terms of .

11-4

A. B. C. D.

7% 7%

79%

7%

A. 27 in.3

B. 108 in.3

C. 54 in.3

D. 324 in.3

21 11-4

22

11. Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

11-5

A. B. C. D.

14%

64%

14%7%

A. 258.7 cm3

B. 1152.3 cm3

C. 48.1 cm3

D. 201.7 cm3

5 cm

23 11-3 5 cm

24

12. Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.

11-5

A. B. C. D.

21% 21%

43%

14%

A. 768 cm3

B. 23,040 cm3

C. 11,520 cm3

D. 7,680 cm3

25 11-5 = = =

26

13. Find the volume of the oblique cone shown in terms of .

11-5

A. B. C. D.

14%

43%

36%

7%

A. 672 B. 1344 C. 56 D. 441

27

441

11-5

28

14. Find the surface area of the sphere with the given dimension. Leave your answer in terms of .

radius of 70 m

11-6

A. B. C. D.

36%

0%

7%

57%

A. 2,450 m2

B. 19,600 m2

C. 9,800 m2

D. 4,900 m2

29 11-6 radius of 70 m

30

15. Find the surface area of the sphere with a circumference of 67 cm. Round to the nearest tenth.

11-6

A. B. C. D.

29%

21%

14%

36%

A. 1428.9 cm2

B. 714.4 cm2

C. 10.7 cm2

D. 113.7 cm2

31 11-6 surface area of the sphere with a circumference of 67 cm

3216. Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

11-6

A. B. C. D.

21%

14%

7%

57%

4 mm

A. 201 mm3

B. 268 mm3

C. 67 mm3

D. 134 mm3

33 11-6

4 mm

34

17. The volume of a sphere is 2410 m3. What is the surface area of the sphere to the nearest tenth?

11-6

A. B. C. D.

21%

7%

36%36%

A. 30,285 m2

B. 153.1 m2

C. 1864.6 m2

D. 932.3 m2

35 11-6

36

18. Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.

11-7

A. B. C. D.

7%

14%

21%

57%

2.6

3

4.68

5.4

Not drawn to scale

A. Yes, B. Yes, C. Yes, D. no

37 11-7

2.6

3

4.68

5.4

Not drawn to scale

Yes;

38

19. A glass vase weighs 0.42 lb. How much does a similarly shaped vase of the same glass weigh if each dimension is 3 times as large?

11-7

A. B. C. D.

64%

7%14%14%

A. 3.78 lbB. 34.02 IbC. 1.26 lbD. 11.34 lb

39 11-7

40

20. The surface areas of two similar solids are 385 yd2 and 1149 yd2. The volume of the larger solid is 1743 yd3. What is the volume of the smaller solid?

11-7

A. B. C. D.

29% 29%29%

14%

A. 338 yd3

B. 1,743 yd3

C. 1,009 yd3

D. 876 yd3

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x= 338.0714049 338 yd3

11-7

Mrs. Marrara

42

How to study: Access this powerpoint on my webpage

and make sure you can answer these problems correctly

Go back and work problems from the sections you are having trouble with (powerpoints have answers worked out).

Review your vocabulary. Finish your missing lessons!

Chapter 11 Review

Prism:

Cylinder:

Pyramid:

Cone:

Sphere:

Similarity ratio:

Area:Volume: