Name: ________________________ Class: ___________________ Date: __________ ID: A

11

Geometry - Chapter 11 Review

Describe the cross section.

____ 1.

A. cube B. trapezoid C. pentagon D. square

____ 2. 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.

A. 35 cm2 ; 364 cm2 C. 35 cm2 ; 266 cm2

B. 70 cm2 ; 364 cm2 D. 70 cm2 ; 266 cm2

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

____ 3.

A. 208 m2 ; 188 m2 C. 136 m2 ; 240 m2

B. 136 m2 ; 188 m2 D. 208 m2 ; 240 m2

Name: ________________________ ID: A

2

____ 4.

A. 668 m2 ; 704 m2 C. 668 m2 ; 740 m2

B. 645 m2 ; 740 m2 D. 645 m2 ; 812 m2

Find the surface area of the cylinder in terms of .

____ 5.

A. 504 cm2 B. 333 cm2 C. 382.5 cm2 D. 211.5 cm2

____ 6. The radius of the base of a cylinder is 38 mm and its height is 51 mm. Find the surface area of the cylinder in terms of .

A. 6726 mm2 B. 6853 mm2 C. 6764 mm2 D. 6713 mm2

Name: ________________________ ID: A

3

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

____ 7.

A. 165 ft2 B. 95 ft2 C. 70 ft2 D. 28 ft2

____ 8. Find the surface area of the figure to the nearest whole number.

A. 310 ft2 B. 158 ft2 C. 135 ft2 D. 74 ft2

Name: ________________________ ID: A

4

____ 9. Find the slant height x of the pyramid shown, to the nearest tenth.

A. 6.7 mm B. 7.5 mm C. 3.7 mm D. 10.3 mm

____ 10. Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in.

A. 210 in.2 B. 240 in.2 C. 42 in.2 D. 420 in. 2

____ 11. Find the surface area of the cone to the nearest tenth.

A. 203 cm2 B. 1341.5 cm2 C. 747.7 cm2 D. 213.5 cm2

Name: ________________________ ID: A

5

____ 12. Find the surface area of the cone in terms of .

A. 111 cm2 B. 57 cm2 C. 60 cm2 D. 55.5 cm2

____ 13. The lateral area of a cone is 473 cm2 . The radius is 43 cm. Find the slant height to the nearest tenth.A. 15.1 cm B. 11 cm C. 12.9 cm D. 10.7 cm

____ 14. Find the lateral area of the cone to the nearest whole number.

Not drawn to scale

A. 7540 m2 B. 3770 m2 C. 4712 m2 D. 9425 m2

Name: ________________________ ID: A

6

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

____ 15.

A. 580 ft3 B. 567 ft3 C. 576 ft3 D. 488 ft3

____ 16.

A. 2450.0 yd3 B. 2121.8 yd3 C. 1732.4 yd3 D. 4243.5 yd3

____ 17. The volume of a cylinder is 980 in.3 The height of the cylinder is 20 in. What is the radius of the cylinder?A. 7 in. B. 49 in. C. 327 in. D. 18 in.

Name: ________________________ ID: A

7

Find the volume of the cylinder in terms of .

____ 18.

A. 60.8 m3 B. 115.52 m3 C. 438.98 m3 D. 57.76 m3

____ 19.

h = 6 in. and r = 3 in.

A. 27 in.3 B. 108 in.3 C. 54 in.3 D. 324 in.3

Name: ________________________ ID: A

8

____ 20.

A. 175 in.3 B. 350 in.3 C. 70 in.3 D. 140 in.3

____ 21. Find the height of the cylinder.

A. 2.4 in. B. 7.2 in. C. 14.4 D. 4.8 in.

Name: ________________________ ID: A

9

____ 22. Find the volume of the composite space figure to the nearest whole number.

A. 416 mm3 B. 705 mm3 C. 1294 mm3 D. 944 mm3

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

____ 23.

A. 126 cm3 B. 907.5 cm3 C. 605 cm3 D. 55 cm3

____ 24. Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in. The second pyramid has a height of 84 in. What is the side length of the base of the second pyramid?A. 10 in. B. 21 in. C. 28 in. D. 42 in.

Name: ________________________ ID: A

10

____ 25. Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.

A. 11,520 cm3 B. 23,040 cm3 C. 7,680 cm3 D. 768 cm3

Find the volume of the right cone shown as a decimal rounded to the nearest tenth.

____ 26.

A. 8821.6 m3 B. 2205.4 m3 C. 3308.1 m3 D. 980.2 m3

____ 27. Find the volume of the oblique cone shown. Round to the nearest tenth.

A. 108.9 in.3 B. 707.9 in.3 C. 1061.9 in.3 D. 2123.7 in.3

Name: ________________________ ID: A

11

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

____ 28. radius of 60 m

A. 3,600 m2 B. 7,200 m2 C. 14,400 m2 D. 1,800 m2

____ 29. A balloon has a circumference of 11 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.

A. 121 cm2 B. 380 cm2 C. 39 cm2 D. 154 cm2

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

____ 30.

A. 1527 mm3 B. 339 mm3 C. 3054 mm3 D. 1018 mm3

____ 31. The volume of a sphere is 5000 m3 . What is the surface area of the sphere to the nearest square meter?

A. 62,832 m2 B. 1517 m2 C. 3033 m2 D. 195 m2

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

____ 32.

A. yes; 15 B. yes; 1

2 C. yes; 16 D. no

Name: ________________________ ID: A

12

____ 33.

A. yes; 12.8 B. yes; 1

1.6 C. yes; 11.8 D. no

____ 34. If the similarity ratio of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?A. The ratio of their corresponding areas is 27 : 2744.

The ratio of their corresponding volumes is 9 : 196.B. The ratio of their corresponding areas is 9 : 196.

The ratio of their corresponding volumes is 27 : 2744.C. The ratio of their corresponding areas is 6 : 28.

The ratio of their corresponding volumes is 9 : 42.D. The ratio of their corresponding areas is 3 : 196.

The ratio of their corresponding volumes is 3 : 2744.

____ 35. The surface areas of two similar solids are 384 yd2 and 1057 yd2 . The volume of the larger solid is 1795 yd3 . What is the volume of the smaller solid?

A. 1,795 yd3 B. 1,082 yd3 C. 393 yd3 D. 978 yd3

ID: A

1

Geometry - Chapter 11 ReviewAnswer Section

1. ANS: D PTS: 1 DIF: L2 REF: 11-1 Space Figures and Cross Sections OBJ: 11-1.2 To visualize cross sections of space figures NAT: CC G.GMD.4| G.1.d| G.1.e| G.1.f| G.4.c TOP: 11-1 Problem 4 Describing a Cross Section KEY: cross section

2. ANS: D PTS: 1 DIF: L3 REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.1 To find the surface area of a prism and a cylinder NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-2 Problem 2 Using Formulas to Find Surface Area of a Prism KEY: surface area of a prism | lateral area | prism | surface area formulas | surface area | word problem

3. ANS: C PTS: 1 DIF: L2 REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.1 To find the surface area of a prism and a cylinder NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-2 Problem 2 Using Formulas to Find Surface Area of a Prism KEY: surface area formulas | lateral area | surface area | prism | surface area of a prism

4. ANS: C PTS: 1 DIF: L4 REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.1 To find the surface area of a prism and a cylinder NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-2 Problem 2 Using Formulas to Find Surface Area of a Prism KEY: surface area formulas | lateral area | surface area | prism | surface area of a prism

5. ANS: D PTS: 1 DIF: L3 REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.1 To find the surface area of a prism and a cylinder NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-2 Problem 3 Finding Surface Area of a Cylinder KEY: surface area of a cylinder | cylinder | surface area formulas | surface area

6. ANS: C PTS: 1 DIF: L3 REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.1 To find the surface area of a prism and a cylinder NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-2 Problem 3 Finding Surface Area of a Cylinder KEY: cylinder | surface area of a cylinder | surface area formulas | surface area | word problem

7. ANS: B PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-3 Problem 1 Finding the Surface Area of a Pyramid KEY: surface area of a pyramid | surface area | surface area formulas | pyramid

ID: A

2

8. ANS: B PTS: 1 DIF: L4 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-3 Problem 2 Finding the Lateral Area of a Pyramid KEY: surface area of a prism | surface area of a pyramid | lateral area | prism | problem solving | pyramid | surface area formulas | surface area

9. ANS: A PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-3 Problem 2 Finding the Lateral Area of a Pyramid KEY: pyramid | slant height of a pyramid | Pythagorean Theorem

10. ANS: A PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-3 Problem 2 Finding the Lateral Area of a Pyramid KEY: surface area of a pyramid | lateral area | pyramid | surface area formulas

11. ANS: C PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-3 Problem 3 Finding the Surface Area of a Cone KEY: surface area of a cone | surface area formulas | surface area | cone

12. ANS: C PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-3 Problem 3 Finding the Surface Area of a Cone KEY: surface area of a cone | surface area formulas | surface area | cone

13. ANS: B PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-3 Problem 4 Finding the Lateral Area of a Cone KEY: cone | lateral area | slant height of a cone

14. ANS: C PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 To find the surface area of a pyramid and a cone NAT: CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-3 Problem 4 Finding the Lateral Area of a Cone KEY: cone | surface area of a cone | surface area formulas | surface area

ID: A

3

15. ANS: C PTS: 1 DIF: L2 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinder NAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fTOP: 11-4 Problem 1 Finding the Volume of a Rectangular Prism KEY: volume of a rectangular prism | volume formulas | volume | prism

16. ANS: B PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinder NAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fTOP: 11-4 Problem 2 Finding the Volume of a Triangular Prism KEY: volume of a triangular prism | volume formulas | volume | prism

17. ANS: A PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinder NAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fTOP: 11-4 Problem 3 Finding the Volume of a Cylinder KEY: cylinder | problem solving | volume

18. ANS: B PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinder NAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fTOP: 11-4 Problem 3 Finding the Volume of a Cylinder KEY: volume of a cylinder | cylinder | volume formulas | volume

19. ANS: C PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinder NAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fTOP: 11-4 Problem 3 Finding the Volume of a Cylinder KEY: volume of a cylinder | cylinder | volume formulas | volume | oblique cylinder

20. ANS: B PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinder NAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fTOP: 11-4 Problem 3 Finding the Volume of a Cylinder KEY: volume of a cylinder | cylinder | volume formulas | volume

21. ANS: A PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinder NAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fTOP: 11-4 Problem 3 Finding the Volume of a Cylinder KEY: cylinder | volume of a cylinder | volume

22. ANS: D PTS: 1 DIF: L4 REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 To find the volume of a prism and the volume of a cylinder NAT: CC G.GMD.1| CC G.GMD.2| CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.fTOP: 11-4 Problem 4 Finding Volume of a Composite Figure KEY: volume of a composite figure | cylinder | volume of a cylinder | composite space figure | volume of a rectangular prism | volume formulas | volume | prism

ID: A

4

23. ANS: C PTS: 1 DIF: L2 REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.1 To find the volume of a pyramid and of a cone NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-5 Problem 1 Finding Volume of a Pyramid KEY: volume of a pyramid | pyramid | volume formulas | volume

24. ANS: A PTS: 1 DIF: L4 REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.1 To find the volume of a pyramid and of a cone NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-5 Problem 1 Finding Volume of a Pyramid KEY: volume of a pyramid | pyramid | problem solving | word problem | volume formulas | volume

25. ANS: C PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.1 To find the volume of a pyramid and of a cone NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-5 Problem 2 Finding the Volume of a Pyramid KEY: volume of a pyramid | pyramid | volume formulas | volume | height of a pyramid | Pythagorean Theorem | slant height

26. ANS: B PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.1 To find the volume of a pyramid and of a cone NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-5 Problem 3 Finding the Volume of a Cone KEY: volume of a cone | volume formulas | volume | cone

27. ANS: B PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.1 To find the volume of a pyramid and of a cone NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-5 Problem 4 Finding the Volume of an Oblique Cone KEY: volume of a cone | oblique cone | volume formulas | volume

28. ANS: C PTS: 1 DIF: L2 REF: 11-6 Surface Areas and Volumes of Spheres OBJ: 11-6.1 To find the surface area and volume of a sphere NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-6 Problem 1 Finding the Surface Area of a Sphere KEY: surface area of a sphere | surface area formulas | surface area | sphere

29. ANS: C PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of Spheres OBJ: 11-6.1 To find the surface area and volume of a sphere NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-6 Problem 2 Finding Surface Area KEY: circumference of a circle | surface area of a sphere | surface area | surface area formulas | sphere

ID: A

5

30. ANS: C PTS: 1 DIF: L2 REF: 11-6 Surface Areas and Volumes of Spheres OBJ: 11-6.1 To find the surface area and volume of a sphere NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-6 Problem 3 Finding the Volume of a Sphere KEY: volume of a sphere | sphere | volume formulas | volume

31. ANS: C PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of Spheres OBJ: 11-6.1 To find the surface area and volume of a sphere NAT: CC G.GMD.3| CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f TOP: 11-6 Problem 4 Using Volume to Find Surface Area KEY: surface area of a sphere | problem solving | word problem | sphere | surface area | surface area formulas | volume

32. ANS: D PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar Solids OBJ: 11-7.1 To compare and find the areas and volumes of similar solidsNAT: CC G.MG.1| CC G.MG.2| G.1.f| N.3.f| N.5.e| M.1.b| M.1.h TOP: 11-7 Problem 1 Identifying Similar Solids KEY: similar solids | similarity ratio | rectangular prism

33. ANS: C PTS: 1 DIF: L4 REF: 11-7 Areas and Volumes of Similar Solids OBJ: 11-7.1 To compare and find the areas and volumes of similar solidsNAT: CC G.MG.1| CC G.MG.2| G.1.f| N.3.f| N.5.e| M.1.b| M.1.h TOP: 11-7 Problem 1 Identifying Similar Solids KEY: similar solids | similarity ratio | cylinder

34. ANS: B PTS: 1 DIF: L2 REF: 11-7 Areas and Volumes of Similar Solids OBJ: 11-7.1 To compare and find the areas and volumes of similar solidsNAT: CC G.MG.1| CC G.MG.2| G.1.f| N.3.f| N.5.e| M.1.b| M.1.h TOP: 11-7 Problem 2 Finding the Scale Factor KEY: similarity ratio | volumes of similar solids

35. ANS: C PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar Solids OBJ: 11-7.1 To compare and find the areas and volumes of similar solidsNAT: CC G.MG.1| CC G.MG.2| G.1.f| N.3.f| N.5.e| M.1.b| M.1.h TOP: 11-7 Problem 3 Using a Scale Factor KEY: similarity ratio | ratio of surface areas of similar solids | ratio of volumes of similar solids