Chapter 11 Test
____
1. 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.
8 cm
1.15 cm
12 cm
Not drawn to scale
A. 46 cm ; 238 cm
B. 46 cm ; 334 cm
C. 23 cm ; 238 cm
D. 23 cm ; 334 cm
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the
nearest whole number.
____
2.
A. 334 m ; 370 m
B. 704 m ; 812 m
C. 300 m ; 400 m
D. 668 m ; 740 m
Find the surface area of the cylinder in terms of
.
____
3.
9 in.
19 in.
Not drawn to scale
A. 378
____
in.
B. 342
in.
C. 990
in.
D. 504
in.
4. The radius of the base of a cylinder is 40 mm and its height is 34 mm. Find the surface area of the cylinder in
terms of .
A. 5886 mm
B. 5920 mm
C. 5880 mm
D. 5994 mm
Find the surface area of the regular pyramid shown to the nearest whole number.
____
5.
A. 854 m
____
B. 1,756 m
C. 504 m
6. Find the slant height x of the pyramid shown, to the nearest tenth.
D. 574 m
A. 10.3 mm
____
C. 8.6 mm
D. 6.7 mm
7. Find the slant height of the cone to the nearest whole number.
A. 15 m
____
B. 4.9 mm
B. 22 m
C. 18 m
D. 21 m
8. The lateral area of a cone is 684 cm . The radius is 36 cm. Find the slant height to the nearest tenth.
A. 14.8 cm
B. 12.3 cm
C. 19 cm
D. 12.6 cm
Find the volume of the given prism. Round to the nearest tenth if necessary.
____
9.
A. 765 ft
B. 675 ft
C. 657 ft
D. 576 ft
A. 1152.7 yd
B. 2305.4 yd
C. 4243.5 yd
D. 1331.0 yd
____ 10.
____ 11. The volume of a cylinder is 980 in. 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.
____ 12. Find the height of the cylinder.
A. 4.8 in.
B. 14.4
C. 2.4 in.
D. 7.2 in.
____ 13. Find the volume of the composite space figure to the nearest whole number.
A. 944 mm
B. 440 mm
C. 905 mm
D. 320 mm
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
____ 14.
A. 124 cm
B. 544.5 cm
C. 605 cm
D. 33 cm
____ 15. What is the maximum volume of a pyramid that can fit inside a cube with a side length of 18 cm?
A. 5832 cm
B. 972 cm
C. 2916 cm
D. 1944 cm
____ 16. Find the volume of a square pyramid with base edges of 32 cm and a slant height of 20 cm.
A. 6,144 cm
B. 12,288 cm
C. 4,096 cm
D. 341.3 cm
Find the volume of the right cone shown as a decimal rounded to the nearest tenth.
____ 17.
A. 1092.9 m
B. 2914.4 m
C. 2204 m
D. 529.9 m
A. 2118.5 yd
B. 1308.5 yd
C. 124.6 yd
D. 1139 yd
____ 18.
____ 19. Find the volume of a sphere with a radius of 3 m
A. 36 m3
B. 108 m3
C.
27m3
D.
72 m3
____ 20. Find the surface area of a sphere with a circumference of 47 ft. Round to the nearest tenth.
A. 351.6 ft
B. 703.1 ft
C. 56 ft
D. 7.5 ft
____ 21. The volume of a sphere is 1861 m . What is the surface area of the sphere to the nearest tenth?
A. 23,386 m
B. 140.4 m
C. 1569.5 m
D. 784.7 m
Chapter 11 Test
Answer Section
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A
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
STA: 2.3.c| 2.5.c| 4.2.c| 6.2.a
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
D
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
STA: 2.3.c| 2.5.c| 4.2.c| 6.2.a
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
STA: 2.3.c| 2.5.c| 4.2.c| 6.2.a
11-2 Problem 3 Finding Surface Area of a Cylinder
surface area of a cylinder | cylinder | surface area formulas | surface area
B
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
STA: 2.3.c| 2.5.c| 4.2.c| 6.2.a
11-2 Problem 3 Finding Surface Area of a Cylinder
cylinder | surface area of a cylinder | surface area formulas | surface area | word problem
D
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
STA: 2.3.c| 2.5.c| 4.2.c| 6.2.a
11-3 Problem 1 Finding the Surface Area of a Pyramid
surface area of a pyramid | surface area formulas | pyramid
D
PTS: 1
DIF: L2
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
STA: 2.3.c| 2.5.c| 4.2.c| 6.2.a
11-3 Problem 2 Finding the Lateral Area of a Pyramid
pyramid | slant height of a pyramid | Pythagorean Theorem
D
PTS: 1
DIF: L2
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
STA: 2.3.c| 2.5.c| 4.2.c| 6.2.a
11-3 Problem 4 Finding the Lateral Area of a Cone
cone | slant height of a cone | Pythagorean Theorem
C
PTS: 1
DIF: L2
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
STA: 2.3.c| 2.5.c| 4.2.c| 6.2.a
11-3 Problem 4 Finding the Lateral Area of a Cone
KEY: cone | lateral area | slant height of a cone
9. ANS: D
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
STA: 2.3.c| 2.5.b| 2.5.c| 4.2.c| 6.2.a
TOP: 11-4 Problem 1 Finding the Volume of a Rectangular Prism
KEY: volume of a rectangular prism | volume formulas | volume | prism
10. 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
STA: 2.3.c| 2.5.b| 2.5.c| 4.2.c| 6.2.a
TOP: 11-4 Problem 2 Finding the Volume of a Triangular Prism
KEY: volume of a triangular prism | volume formulas | volume | prism
11. 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
STA: 2.3.c| 2.5.b| 2.5.c| 4.2.c| 6.2.a
TOP: 11-4 Problem 3 Finding the Volume of a Cylinder
KEY: cylinder | problem solving | volume
12. 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
STA: 2.3.c| 2.5.b| 2.5.c| 4.2.c| 6.2.a
TOP: 11-4 Problem 3 Finding the Volume of a Cylinder
KEY: cylinder | volume of a cylinder | volume
13. ANS: A
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
STA: 2.3.c| 2.5.b| 2.5.c| 4.2.c| 6.2.a
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
14. 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
STA: 2.5.b| 4.2.c| 6.2.a
TOP: 11-5 Problem 1 Finding Volume of a Pyramid
KEY: volume of a pyramid | pyramid | volume formulas | volume
15. ANS: D
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
STA: 2.5.b| 4.2.c| 6.2.a
TOP: 11-5 Problem 1 Finding Volume of a Pyramid
KEY: cube | volume of a pyramid | problem solving | word problem | pyramid | volume formulas | volume
16. 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
STA: 2.5.b| 4.2.c| 6.2.a
TOP: 11-5 Problem 2 Finding the Volume of a Pyramid
17.
18.
19.
20.
21.
KEY: volume of a pyramid | pyramid | volume formulas | volume | height of a pyramid | Pythagorean
Theorem | slant height
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
STA: 2.5.b| 4.2.c| 6.2.a
TOP: 11-5 Problem 3 Finding the Volume of a Cone
KEY: volume of a cone | volume formulas | volume | cone
ANS: D
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
STA: 2.5.b| 4.2.c| 6.2.a
TOP: 11-5 Problem 3 Finding the Volume of a Cone
KEY: volume of a cone | cone | volume formulas | volume
ANS: A
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
STA: 2.5.b| 4.2.c| 6.2.a
TOP: 11-6 Problem 1 Finding the Surface Area of a Sphere
KEY: surface area of a sphere | surface area formulas | surface area | sphere
ANS: B
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
STA: 2.5.b| 4.2.c| 6.2.a
TOP: 11-6 Problem 2 Finding Surface Area
KEY: surface area of a sphere | surface area formulas | surface area | sphere
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
STA: 2.5.b| 4.2.c| 6.2.a
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