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Geometric Modeling — Test Answers

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Which expression represents the area of the base of the pyramid?

A
x squared square root of 3 units squared
B
3 x squared square root of 3 units squared
C
4 x squared square root of 3 units squared
D
6 x squared square root of 3 units squared
2
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What is the volume of the pyramid?

A
22 point 2 units cubed
B
14 point 8 units cubed
C
44 point 4 units cubed
D
11 point 1 units cubed
3

The company wants to use the package that has the least amount of wasted space. The company should choose

A
the cylinder because it has approximately 11 point 6 in. cubed less wasted space than the prism.
B
the cylinder because it has approximately 14 point 1 in. cubed less wasted space than the prism.
C
the prism because it has approximately 14 point 1 in. cubed less wasted space than the cylinder.
D
the prism because it has approximately 11 point 6 in. cubed less wasted space than the cylinder.
4

Which represents the volume of the cylinder, in cubic units?

A
120 pi
B
130 pi
C
325 pi
D
300 pi
5

A section of a rectangle is shaded. The area of the shaded section is 63 square units. What is the value of x ?

A
9 units
B
21 units
C
11 units
D
18 units
6

Which statement about the number of earthquakes the states had for the given time span is true?

A
State B had approximately 3 comma 362 more earthquakes than State A.
B
State B had approximately 1 comma 533 more earthquakes than State A.
C
State A had approximately 3 comma 362 more earthquakes than State B.
D
State A had approximately 1 comma 533 more earthquakes than State B.
7

What is the unfilled volume inside the cylinder?

A
597 pi cubic units
B
320 pi cubic units
C
640 pi cubic units
D
725 pi cubic units
8

Which best describes the resulting three-dimensional shape?

A
a cone with a base radius of 17 units
B
a cone with a base radius of 34 units
C
a cylinder with a base radius of 34 units
D
a cylinder with a base radius of 17 units
9

Which shape could be thought of as being created by stacking congruent polygons?

A
triangular pyramid
B
rectangular prism
C
cone
D
square pyramid
10

A cylinder has a radius of 2 point 8 inches and a height of 2 point 4 inches. Which cylinder is similar?

A
Image with description A cylinder was radius 1.4 inches and height 1.2 inches.
B
Image with description A cylinder was radius 5.6 inches and height 4.2 inches.
C
Image with description A cylinder was radius 1.8 inches and height 1.4 inches.
D
Image with description A cylinder was radius 2.4 inches and height 2.8 inches.
11

Which three-dimensional figure has double the number of edges as faces?

A
rectangular pyramid
B
rectangular prism
C
triangular pyramid
D
triangular prism
12

Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?

A
The surface area of the larger prism is 2 times the surface area of the smaller prism.
B
The surface areas are the same.
C
The surface area of the larger prism is 4 times the surface area of the smaller prism.
D
The surface area of the larger prism is 8 times the surface area of the smaller prism.
13

Each parking space will be 19 feet by 8 feet. What is the maximum number of parking spaces that will fit in the lot?

A
40
B
30
C
10
D
35
14

Which statements are true? Choose three correct answers.

A
The population density of City B is greater than that of City C.
B
City A has the greatest population density of the four cities.
C
City D has the lowest population density of the four cities.
D
The population density for City B can be found using the ratio 48 comma ratio of 592 to 26 .
E
The population density for City D can be found using the ratio ratio of 258 to 196 comma 429 .
15

What is the volume of the composite figure? Express the answer in terms of pi

A
312 pi mm cubed
B
456 pi mm cubed
C
168 pi mm cubed
D
144 pi mm cubed
16

What is the volume of the cone?

A
24 pi cubic units
B
32 pi cubic units
C
64 pi cubic units
D
48 pi cubic units
17

Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?

A
4 thirds
B
3 fourths
C
16 ninths
D
9 over 16
18

What is the area of parallelogram RSTU ?

A
24 square units
B
26 square units
C
38 square units
D
32 square units
19

What is the area of triangle LMN ?

A
15 square units
B
12 square units
C
14 square units
D
24 square units
20

Which expression represents the volume of the pyramid?

A
1 over 5 h 5 point 2 h cm cubed
B
1 third 5 point 2 h cm cubed
C
1 over 3 h 5 point 2 h cm cubed
D
1 fifth 5 point 2 h cm cubed

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