AnswersGeometryGeometric Modeling in Two and Three Dimensions

Practice Test Answers

20 verified answers
1
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A county in North Carolina spans 532 square miles. The population density of deer in the county is 11 deer per square mile. How many deer live in the county? Round to the nearest whole number, if necessary.

A
48 deer
B
5,852 deer
C
68 deer
D
5,992 deer
2
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The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units. Which expression represents the volume of the prism, in cubic units?

A
x cubed plus 3 x plus 3
B
x cubed plus 6 x squared plus 9 x
C
x cubed plus 9
D
x cubed plus 3 x squared
3

Which polygon is a convex heptagon?

A
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
B
Image with description A polygon with 8 sides and 1 interior angle greater than 180 degrees.
C
Image with description A polygon with 7 sides and 1 interior angle greater than 180 degrees.
D
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
4

The net of a three-dimensional figure is made of 1 square and 4 triangles. What is the three-dimensional figure?

A
a triangular pyramid
B
a square prism
C
a triangular prism
D
a square pyramid
5

A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches. Which could be the lengths of the diagonals of the rhombus?

A
8 in. by 9 in.
B
4 in. by 11 in.
C
6 in. by 8 in.
D
2 in. by 12 in.
6

Which shows the net of a cone?

A
Image with description A net made up of a large quarter-circle and a circle.
B
Image with description A net made up of 2 circles and a triangle.
C
Image with description A net made up of 2 circles and a rectangle.
D
Image with description A net made up of a circle and a triangle.
7

The more people living in an area, the more likely it is that public buses will be used. City A has a population of 51 comma 242 and covers an area of 89 point 2 2 mi squared City B has a population of 50 comma 178 and covers an area of 8 point 1 2 mi squared Which statement about use of public buses in the cities is most likely true?

A
The residents of City B are more likely to use public buses because their city has a greater population density.
B
The residents of City A are more likely to use public buses because their city has a greater population density.
C
The residents of both cities are equally likely to use public buses because both population densities are about the same.
D
The residents of both cities are unlikely to use public buses because both population densities are too high.
8

Four interior angles of a pentagon measure 88 degrees , 118 degrees , 132 degrees , and 100 degrees What is the measure of the fifth interior angle?

A
112 degrees
B
102 degrees
C
92 degrees
D
82 degrees
9

What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.

A
4 in.
B
9 in.
C
5 in.
D
11 in.
10

1. Find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360. 2. Subtract the area of the triangle from the area of the sector.

A
circumference of the circle
B
measure of the central angle
C
length of the diameter
D
length of the radius
11

Which statements about the cylinder are true? Choose two correct answers.

A
The area of the cylinder’s base is 1 fourth pi x squared square units.
B
The height of the cylinder is 4 x units.
C
The radius of the cylinder is 2 x units.
D
The height of the cylinder is 2 x units.
E
The area of the cylinder’s base is 1 half pi x squared square units.
12

To solve the problem using these steps, what are the dimensions of the rectangle she should draw? Expand Image

A
3 units by 4 units
B
4 units by 5 units
C
3 units by 5 units
D
2 units by 4 units
13

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

A
as a circle, two trapezoids, and a rectangle
B
as a semicircle, a hexagon, and a rectangle
C
as a semicircle, a pentagon, and two triangles
D
as a circle, six triangles, and a rectangle
14

What is the area of triangle RST ?

A
9 square units
B
12 square units
C
6 square units
D
18 square units
15

Triangle XYZ is reflected over its hypotenuse to create a kite. What is the approximate distance from cap y to cap y prime ? Round to the nearest tenth.

A
4 point 6 units
B
8 point 0 units
C
9 point 2 units
D
5 point 4 units
16

What is the volume of the cylinder?

A
2 comma 700 pi cubic units
B
2 comma 500 pi cubic units
C
2 comma 400 pi cubic units
D
2 comma 600 pi cubic units
17

Which statements about the octagon are true? Choose two correct answers.

A
The length of segment XY can be found by solving for A in 20 squared minus 7 point 6 5 squared is equal to A squared .
B
The length of segment WZ is 20 cm.
C
The measure of the central angle, angle ZXW , is 45 degrees .
D
The length of segment YZ is 15 point 3 cm.
E
The measure of the angle formed by the radius and the apothem is 30 degrees .
18

Figure ABCD is a parallelogram. Points cap x and cap y are placed so that line segment BX is congruent to line segment DY and line segment CD perpendicular to line segment XY The area of BXYC is 71 point 5 square units. What is the area of ABCD ?

A
126 square units
B
143 square units
C
110 square units
D
99 square units
19

Which expression represents the volume of the pyramid?

A
the fraction with numerator x cubed plus 2 x squared and denominator 2 cm cubed
B
the fraction with numerator x squared plus 2 x squared and denominator 2 cm cubed
C
the fraction with numerator x cubed plus 2 x squared and denominator 3 cm cubed
D
the fraction with numerator x cubed and denominator 3 cm cubed
20

Which expression represents the volume of the pyramid?

A
1 third s squared h units cubed
B
1 fourth s squared h units cubed
C
s squared h units cubed
D
3 s squared h units cubed

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