Name: ________________________ Class: ___________________ Date: __________
ID: A
Geometry - Chapter 11 Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. Use Euler’s Formula to find the missing number.
Faces: 21
Vertices: 14
Edges: ?
a. 33
b. 36
c.
32
4205 in. 2
b.
4190 in. 2
c.
4307 in. 2
d.
4234 in. 2
3. Find the lateral area of the square pyramid shown, to the nearest whole number.
a.
____
d.
2. The radius of the base of a cylinder is 29 in. and its height is 44 in.. Find the surface area of the cylinder in
terms of  .
a.
____
34
1950 yd 2
b.
2473 yd 2
c.
3613 yd 2
d.
4946 yd2
c.
304 cm2
d.
136 cm2
4. Find the surface area of the cone in terms of  .
a.
184 cm2
b.
152 cm2
1
Name: ________________________
ID: A
Find the volume of the given prism. Round to the nearest tenth if necessary.
____
____
5.
a.
328 ft 3
b.
336 ft 3
c.
339 ft 3
d.
356 ft 3
a.
17 m 3
b.
34 m 3
c.
8.5 m 3
d.
1 m3
c.
168 in. 3
d.
504 in. 3
6.
Find the volume of the cylinder in terms of  .
____
7.
a.
252 in. 3
b.
84 in. 3
2
Name: ________________________
____
ID: A
8. Find the volume of the composite space figure to the nearest whole number.
a.
496 mm3
b.
236 mm3
c.
371 mm3
d.
680 mm3
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
____
9.
a.
1564.3 cm3
b.
82.3 cm3
c.
2346.5 cm3
d.
365.3 cm3
____ 10. What is the maximum volume of a pyramid that can fit inside a cube with a side length of 18 cm?
a.
5832 cm3
b.
2916 cm3
c.
1944 cm3
d.
972 cm3
____ 11. Find the volume of a square pyramid with base edges of 40 cm and a slant height of 25 cm.
a.
533.3 cm3
b.
8,000 cm3
c.
3
12,000 cm3
d.
24,000 cm3
Name: ________________________
ID: A
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
____ 12.
a.
1272.3 yd 3
b.
2120.6 yd 3
c.
1908.5 yd 3
d.
141.4 yd 3
Find the surface area of the sphere with the given dimension. Leave your answer in terms of  .
____ 13. radius of 40 m
a.
6,400 m2
b.
3,200 m 2
c.
800 m 2
d.
1,600 m2
____ 14. A balloon has a circumference of 22 in. Use the circumference to approximate the surface area of the balloon to
the nearest square centimeter.
a.
484 in. 2
b.
1521 in. 2
c.
154 in. 2
d.
616 in. 2
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
____ 15.
a.
127 cm3
b.
174 cm3
c.
4
697 cm3
d.
5,575 cm3
Name: ________________________
ID: A
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
____ 16.
a.
yes; 1 : 5
b.
yes; 1 : 10
c.
yes; 1 : 6
d.
no
a.
yes; 1 : 1.8
b.
yes; 1 : 2.8
c.
yes; 1 : 1.6
d.
no
____ 17.
____ 18. Find the similarity ratio of a cube with volume 729 cm3 to a cube with volume 2197 cm3 .
a. 81 : 169
b. 13 : 9
c. 9 : 13
d. 169 : 81
____ 19. A glass vase weighs 0.24 lb. How much does a similarly shaped vase of the same glass weigh if each dimension
is 4 times as large?
a. 61.44 lb
b. 15.36 lb
c. 0.96 lb
d. 3.84 lb
____ 20. The surface areas of two similar solids are 370 ft 2 and 1150 ft 2 . The volume of the larger solid is 1770 ft 3 .
What is the volume of the smaller solid?
a.
323 ft 3
b.
854 ft 3
c.
5
1,770 ft 3
d.
1,004 ft 3
ID: A
Geometry - Chapter 11 Exam Review
Answer Section
MULTIPLE CHOICE
1. ANS:
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6. ANS:
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A
PTS: 1
DIF: L3
11-1 Space Figures and Cross Sections
11-1.1 Recognize polyhedra and their parts
STA: MA.912.G.7.2| MA.912.G.7.3
11-1 Problem 2 Using Euler's Formula
polyhedron | face | vertices | edge | Euler's Formula
DOK: DOK 1
D
PTS: 1
DIF: L3
11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
cylinder | surface area of a cylinder | surface area formulas | surface area | word problem
DOK 2
B
PTS: 1
DIF: L3
11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 2 Finding the Lateral Area of a Pyramid
slant height of a pyramid | lateral area | pyramid | surface area formulas | Pythagorean Theorem
DOK 2
A
PTS: 1
DIF: L3
11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 3 Finding the Surface Area of a Cone
surface area of a cone | surface area formulas | surface area | cone
DOK 2
B
PTS: 1
DIF: L2
11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
11-4 Problem 1 Finding the Volume of a Rectangular Prism
volume of a rectangular prism | volume formulas | volume | prism
DOK 2
A
PTS: 1
DIF: L3
11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 2 Finding the Volume of a Triangular Prism
volume of a triangular prism | volume formulas | volume | prism
DOK 2
1
ID: A
7. ANS: D
PTS: 1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
OBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 3 Finding the Volume of a Cylinder
KEY: volume of a cylinder | cylinder | volume formulas | volume
DOK: DOK 2
8. ANS: A
PTS: 1
DIF: L4
REF: 11-4 Volumes of Prisms and Cylinders
OBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder
STA: MA.912.G.7.5| MA.912.G.7.7
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
DOK: DOK 2
9. ANS: A
PTS: 1
DIF: L2
REF: 11-5 Volumes of Pyramids and Cones
OBJ: 11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-5 Problem 1 Finding Volume of a Pyramid
KEY: volume of a pyramid | pyramid | volume formulas | volume
DOK: DOK 2
10. ANS: C
PTS: 1
DIF: L4
REF: 11-5 Volumes of Pyramids and Cones
OBJ: 11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-5 Problem 1 Finding Volume of a Pyramid
KEY: cube | volume of a pyramid | problem solving | word problem | pyramid | volume formulas | volume
DOK: DOK 2
11. ANS: B
PTS: 1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
OBJ: 11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
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
DOK:
DOK 2
12. ANS: A
PTS: 1
DIF: L2
REF: 11-5 Volumes of Pyramids and Cones
OBJ: 11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-5 Problem 3 Finding the Volume of a Cone
KEY: volume of a cone | cone | volume formulas | volume
DOK: DOK 2
13. ANS: A
PTS: 1
DIF: L2
REF: 11-6 Surface Areas and Volumes of Spheres
OBJ: 11-6.1 Find the surface area and volume of a sphere
STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
TOP: 11-6 Problem 1 Finding the Surface Area of a Sphere
KEY: surface area of a sphere | surface area formulas | surface area | sphere
DOK: DOK 2
2
ID: A
14. ANS:
REF:
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TOP:
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15. ANS:
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19. ANS:
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20. ANS:
REF:
OBJ:
STA:
KEY:
DOK:
C
PTS: 1
DIF: L3
11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 2 Finding Surface Area
circumference of a circle | surface area of a sphere | surface area | surface area formulas | sphere
DOK 2
C
PTS: 1
DIF: L3
11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 3 Finding the Volume of a Sphere
volume of a sphere | sphere | volume formulas | volume
DOK: DOK 2
D
PTS: 1
DIF: L3
11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 1 Identifying Similar Solids
similar solids | similarity ratio | rectangular prism
DOK: DOK 2
A
PTS: 1
DIF: L4
11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 1 Identifying Similar Solids
similar solids | similarity ratio | cylinder
DOK: DOK 2
C
PTS: 1
DIF: L3
11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 2 Finding the Scale Factor
similarity ratio | volumes of similar solids
DOK: DOK 2
B
PTS: 1
DIF: L3
11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 3 Using a Scale Factor
similarity ratio | volumes of similar solids | word problem | problem solving
DOK 2
A
PTS: 1
DIF: L3
11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 3 Using a Scale Factor
similarity ratio | ratio of surface areas of similar solids | ratio of volumes of similar solids
DOK 2
3