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Geometric Modeling — Test Answers

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

A
3 x squared square root of 3 units squared
B
x squared square root of 3 units squared
C
6 x squared square root of 3 units squared
D
4 x squared square root of 3 units squared
2
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The company wants to use the package that has the least amount of wasted space. The company should choose

A
the prism because it has approximately 14 point 1 in. cubed less wasted space than the cylinder.
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 11 point 6 in. cubed less wasted space than the cylinder.
D
the cylinder because it has approximately 11 point 6 in. cubed less wasted space than the prism.
3

What is the volume of the cylinder? Round to the nearest tenth.

A
314 point 2 cubic units
B
31 point 4 cubic units
C
62 point 8 cubic units
D
157 point 1 cubic units
4

What is the volume of the cone?

A
32 pi cubic units
B
64 pi cubic units
C
48 pi cubic units
D
24 pi cubic units
5

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

A
130 pi
B
120 pi
C
300 pi
D
325 pi
6

What is the volume of the pyramid?

A
11 point 1 units cubed
B
22 point 2 units cubed
C
44 point 4 units cubed
D
14 point 8 units cubed
7

What is the volume of the right rectangular prism?

A
21 cubic centimeters
B
120 cubic centimeters
C
42 cubic centimeters
D
240 cubic centimeters
8

Which expression represents the volume of the pyramid?

A
1 fifth 5 point 2 h cm cubed
B
1 over 3 h 5 point 2 h cm cubed
C
1 over 5 h 5 point 2 h cm cubed
D
1 third 5 point 2 h cm cubed
9

Which statements are true? Choose three correct answers.

A
City A has the greatest population density of the four cities.
B
The population density for City D can be found using the ratio ratio of 258 to 196 comma 429 .
C
The population density of City B is greater than that of City C.
D
City D has the lowest population density of the four cities.
E
The population density for City B can be found using the ratio 48 comma ratio of 592 to 26 .
10

What is the unfilled volume inside the cylinder?

A
640 pi cubic units
B
597 pi cubic units
C
725 pi cubic units
D
320 pi cubic units
11

Which expression represents the volume, in cubic units, of the composite figure?

A
pi open paren 5 squared close paren 13 plus 1 third pi open paren 5 squared close paren 25
B
pi open paren 5 squared close paren 13 plus 1 third pi open paren 5 squared close paren 12
C
pi open paren 5 squared close paren 13 minus 1 third pi open paren 5 squared close paren 25
D
pi open paren 5 squared close paren 13 minus 1 third pi open paren 5 squared close paren 12
12

What is the approximate length of y ? Round to the nearest tenth of an inch.

A
1 point 4 in.
B
2 point 0 in.
C
2 point 8 in.
D
3 point 5 in.
13

Which statement regarding these four states is true?

A
The state with the lowest population has the lowest population density.
B
The state with the second greatest population has the lowest population density.
C
The state with the lowest population has the greatest population density.
D
The state with the second lowest population has the lowest population density.
14

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

A
324 pi ft cubed
B
288 pi ft cubed
C
252 pi ft cubed
D
261 pi ft cubed
15

What is the volume of the pyramid?

A
5 cm cubed
B
6 cm cubed
C
7 point 5 cm cubed
D
2 point 5 cm cubed
16

What is the volume of the pyramid, to the nearest cubic foot?

A
5 ft cubed
B
19 ft cubed
C
9 ft cubed
D
14 ft cubed
17

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

A
456 pi mm cubed
B
168 pi mm cubed
C
144 pi mm cubed
D
312 pi mm cubed
18

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

A
State B had approximately 1 comma 533 more earthquakes than State A.
B
State A had approximately 1 comma 533 more earthquakes than State B.
C
State B had approximately 3 comma 362 more earthquakes than State A.
D
State A had approximately 3 comma 362 more earthquakes than State B.
19

The volume of an object is equal to the ratio of its mass to density, cap v is equal to m over d The mass of a spherical grape is 8 point 4 grams and its density is 2 grams per cubic centimeter. What is the radius of the grape? Round to the nearest tenth of a centimeter.

A
2 point 1 cm
B
1 point 9 cm
C
1 point 5 cm
D
1 point 0 cm
20

An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units. What is the perpendicular height of the prism?

A
6 units
B
8 units
C
4 units
D
2 units

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