Unit Test — Unit test Answers

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A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units.

Question illustration
A
320π cubic units
B
597π cubic units
C
640π cubic units
D
725π cubic units
42
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The diameter of the base of the cone measures 8 units. The height measures 6 units.

Question illustration
A
24π cubic units
B
32π cubic units
C
48π cubic units
D
64π cubic units
43

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.

Question illustration
A
(5.2)h cm3
Option A
B
(5.2)h cm3
Option B
C
(5.2)h cm3
Option C
D
(5.2)h cm3
Option D
44

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

A
cone
B
rectangular prism
C
square pyramid
D
triangular pyramid
45

Which statements are true? Select three options.

A
The population density for City B can be found using the ratio 48,592 : 26.
B
The population density for City D can be found using the ratio 258 : 196,429.
C
City A has the greatest population density of the four cities.
D
The population density of City B is greater than that of City C.
E
City D has the lowest population density of the four cities.
46

An area reserved for a parking lot is 80 feet long and 77 feet wide. The stalls of the lot are at 90° angles to two one-way aisles. Each aisle is 80 feet by 10 feet. The three areas set aside for the parking spaces are congruent rectangles.

Question illustration
A
10
B
30
C
35
D
40
47

On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3).

Question illustration
A
10 square units
B
12 square units
C
20 square units
D
24 square units
48

On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0).

Question illustration
A
24 square units
B
26 square units
C
32 square units
D
38 square units
49

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.

Question illustration
A
144π mm3
B
168π mm3
C
312π mm3
D
456π mm3
50

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units.

Question illustration
A
units2
Option A
B
units2
Option B
C
units2
Option C
D
units2
Option D

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