Unit Test — Unit test Answers

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The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

Question illustration
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 17 units
D
a cylinder with a base radius of 34 units
23

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.

Question illustration
A
the prism because it has approximately 11.6 in.3 less wasted space than the cylinder.
B
the prism because it has approximately 14.1 in.3 less wasted space than the cylinder.
C
the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.
D
the cylinder because it has approximately 14.1 in.3 less wasted space than the prism.
26

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

Question illustration
A
11.1 units3
B
14.8 units3
C
22.2 units3
D
44.4 units3
27

On a coordinate plane, triangle L M N has points (negative 1, 2), (negative 1, negative 4), and (3, negative 4).

Question illustration
A
12 square units
B
14 square units
C
15 square units
D
24 square units
28

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB measures 30°.

Question illustration
A
5 ft3
B
9 ft3
C
14 ft3
D
19 ft3
29

On a coordinate plane, triangle A B C and parallelogram G H J K are shown. Triangle A B C has points (2, 0), (1, negative 6), (negative 2, negative 4). Parallelogram G H J K has points (0, 0), (1, 2), (negative 2, 4), and (negative 3, 2).

Question illustration
A
The area of △ABC is 2 square units greater than the area of parallelogram GHJK.
B
The area of △ABC is 1 square unit greater than the area of parallelogram GHJK.
C
The area of △ABC is equal to the area of parallelogram GHJK.
D
The area of △ABC is 1 square unit less than the area of parallelogram GHJK.
30

Every possible cross section of a three-dimensional figure is a circle. What is the figure?

A
cone
B
cylinder
C
circle
D
sphere
31

An oblique cylinder is shown.

Question illustration
A
120π
B
130π
C
300π
D
325π
32

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

A
rectangular prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
33

A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.

Question illustration
A
(52)(13) – (52)(12)
Option A
B
(52)(13) – (52)(25)
Option B
C
(52)(13) + (52)(12)
Option C
D
(52)(13) + (52)(25)
Option D
34

A section of a rectangle is shaded to form a rhombus. The length of one side of the rectangle is 15, and the height is x.

Question illustration
A
4 units
B
6 units
C
8 units
D
9 units
35

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.

Question illustration
A
the prism because it has approximately 11.6 in.3 less wasted space than the cylinder.
B
the prism because it has approximately 14.1 in.3 less wasted space than the cylinder.
C
the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.
D
the cylinder because it has approximately 14.1 in.3 less wasted space than the prism.
36

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. A state had 424 earthquakes over a given time span and a land area of 71,300 square miles.What is the seismic activity density for this state? Round to the nearest ten thousandth, if necessary.

A
0.0046 earthquakes per square mile
B
0.0059 earthquakes per square mile
C
168.1604 earthquakes per square mile
D
179.0049 earthquakes per square mile
37

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Question illustration
A
State A had approximately 1,533 more earthquakes than State B.
B
State B had approximately 1,533 more earthquakes than State A.
C
State A had approximately 3,362 more earthquakes than State B.
D
State B had approximately 3,362 more earthquakes than State A.
38

A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7.

Question illustration
A
9 units
B
11 units
C
18 units
D
21 units
39

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 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.

Question illustration
A
1.0 cm
B
1.5 cm
C
1.9 cm
D
2.1 cm
40

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

Question illustration
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 17 units
D
a cylinder with a base radius of 34 units

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