AnswersGeometryGeometric Modeling in Two and Three Dimensions

Geometric Modeling in Two and Three Dimensions — Test Answers

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1
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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
2
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What figure can be made using the net shown?

A
a hexagonal pyramid
B
an octagonal pyramid
C
a hexagonal prism
D
an octagonal prism
6

Which statements are true? Choose three correct answers.

A
The population density of City B is greater than that of City C.
B
The population density for City D can be found using the ratio ratio of 258 to 196 comma 429 .
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
City A has the greatest population density of the four cities.
7

The net of the figure shown is made of which set of shapes?

A
3 triangles and 1 square
B
4 triangles and 1 square
C
4 triangles and 1 rectangle that is not a square
D
3 triangles and 1 rectangle that is not a square
9

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

A
State A had approximately 1 comma 533 more earthquakes than State B.
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 B had approximately 3 comma 362 more earthquakes than State A.
10

Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that line segment AX is congruent to line segment CY What is true about the areas of the trapezoids?

A
The area of AXYD is greater than the area of BXYC .
B
Each area is equal to half of the area of ABCD .
C
The area of AXYD is less than the area of BXYC .
D
Each area is equal to the area of ABCD .
11

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

A
2 point 8 in.
B
2 point 0 in.
C
3 point 5 in.
D
1 point 4 in.
12

How can you decompose the composite figure to determine its area?

A
as three triangles and a circle
B
as a triangle, a pentagon, and a semicircle
C
as two triangles, a rectangle, and a circle
D
as a triangle, a rectangle, and a semicircle
13

What is the area of the equilateral triangle, rounded to the nearest tenth?

A
2 point 7 cm squared
B
16 point 2 cm squared
C
4 point 1 cm squared
D
24 point 2 cm squared
14

What is the area of parallelogram RSTU ?

A
28 square units
B
21 square units
C
32 square units
D
24 square units
15

What is the area of triangle LMN ?

A
14 square units
B
24 square units
C
15 square units
D
12 square units
16

Which expression represents the volume of the pyramid?

A
1 over 5 h 5 point 2 h cm cubed
B
1 over 3 h 5 point 2 h cm cubed
C
1 fifth 5 point 2 h cm cubed
D
1 third 5 point 2 h cm cubed
17

What is the measure of angle cap b ?

A
108 degrees
B
98 degrees
C
128 degrees
D
118 degrees
18

What is the area of the composite figure?

A
268 square centimeter
B
264 square centimeter
C
266 square centimeter
D
262 square centimeter
19

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

A
4 x squared square root of 3 units squared
B
3 x squared square root of 3 units squared
C
x squared square root of 3 units squared
D
6 x squared square root of 3 units squared

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