Name: ________________________ Class: ___________________ Date: __________
ID: A
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
11
Name: ________________________
____
ID: A
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
2
D. 6713 mm2
Name: ________________________
ID: A
Find the surface area of the regular pyramid shown to the nearest whole number.
____
7.
A. 165 ft 2
____
B. 95 ft 2
C. 70 ft 2
D. 28 ft 2
8. Find the surface area of the figure to the nearest whole number.
A. 310 ft 2
B. 158 ft 2
C. 135 ft 2
3
D. 74 ft 2
Name: ________________________
____
ID: A
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
4
D. 213.5 cm2
Name: ________________________
ID: A
____ 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 m 2
B. 3770 m 2
C. 4712 m 2
5
D. 9425 m 2
Name: ________________________
ID: A
Find the volume of the given prism. Round to the nearest tenth if necessary.
____ 15.
A. 580 ft 3
B. 567 ft 3
C. 576 ft 3
D. 488 ft 3
A. 2450.0 yd 3
B. 2121.8 yd 3
C. 1732.4 yd 3
D. 4243.5 yd 3
____ 16.
____ 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.
6
Name: ________________________
ID: A
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
B. 108 in. 3
C. 54 in. 3
D. 324 in. 3
____ 19.
h = 6 in. and r = 3 in.
A. 27 in. 3
7
Name: ________________________
ID: A
____ 20.
A. 175 in. 3
B. 350 in. 3
C. 70 in. 3
D. 140 in. 3
C. 14.4
D. 4.8 in.
____ 21. Find the height of the cylinder.
A. 2.4 in.
B. 7.2 in.
8
Name: ________________________
ID: A
____ 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.
9
Name: ________________________
ID: A
____ 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
10
D. 2123.7 in. 3
Name: ________________________
ID: A
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 m 3 . 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;
1
5
B. yes;
1
2
C. yes;
11
1
6
D. no
Name: ________________________
ID: A
____ 33.
A. yes;
1
2.8
B. yes;
1
1.6
C. yes;
1
1.8
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 yd 2 and 1057 yd2 . The volume of the larger solid is 1795 yd 3 .
What is the volume of the smaller solid?
A. 1,795 yd3
B. 1,082 yd 3
C. 393 yd 3
12
D. 978 yd 3
ID: A
Geometry - Chapter 11 Review
Answer Section
1. ANS:
REF:
OBJ:
NAT:
TOP:
2. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
3. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
4. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
5. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
6. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
7. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
D
PTS: 1
DIF: L2
11-1 Space Figures and Cross Sections
11-1.2 To visualize cross sections of space figures
CC G.GMD.4| G.1.d| G.1.e| G.1.f| G.4.c
11-1 Problem 4 Describing a Cross Section
KEY: cross section
D
PTS: 1
DIF: L3
11-2 Surface Areas of Prisms and Cylinders
11-2.1 To find the surface area of a prism and a cylinder
CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area of a prism | lateral area | prism | surface area formulas | surface area | word problem
C
PTS: 1
DIF: L2
11-2 Surface Areas of Prisms and Cylinders
11-2.1 To find the surface area of a prism and a cylinder
CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area formulas | lateral area | surface area | prism | surface area of a prism
C
PTS: 1
DIF: L4
11-2 Surface Areas of Prisms and Cylinders
11-2.1 To find the surface area of a prism and a cylinder
CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area formulas | lateral area | surface area | prism | surface area of a prism
D
PTS: 1
DIF: L3
11-2 Surface Areas of Prisms and Cylinders
11-2.1 To find the surface area of a prism and a cylinder
CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f
11-2 Problem 3 Finding Surface Area of a Cylinder
surface area of a cylinder | cylinder | surface area formulas | surface area
C
PTS: 1
DIF: L3
11-2 Surface Areas of Prisms and Cylinders
11-2.1 To find the surface area of a prism and a cylinder
CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f
11-2 Problem 3 Finding Surface Area of a Cylinder
cylinder | surface area of a cylinder | surface area formulas | surface area | word problem
B
PTS: 1
DIF: L3
11-3 Surface Areas of Pyramids and Cones
11-3.1 To find the surface area of a pyramid and a cone
CC G.MG.1| N.3.c| N.3.f| N.5.e| M.1.h| A.4.f
11-3 Problem 1 Finding the Surface Area of a Pyramid
surface area of a pyramid | surface area | surface area formulas | pyramid
1
ID: A
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
2
ID: A
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.f
TOP: 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.f
TOP: 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.f
TOP: 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.f
TOP: 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.f
TOP: 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.f
TOP: 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.f
TOP: 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.f
TOP: 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
3
ID: A
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
4
ID: A
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 solids
NAT: 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 solids
NAT: 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 solids
NAT: 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 solids
NAT: 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
5