AnswersOC27 GEO-1206310-S2-Degele-VOL7006PThree-Dimensional Figures and Cross Sections

Three-Dimensional Figures and Cross Sections — Unit test Answers

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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
2
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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
3

A polygon with 9 sides is shown. An exterior angle has a measure of x degrees.

Question illustration
A
36°
B
40°
C
45°
D
60°
4

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
5

Which polygon is a concave octagon?

A
A polygon has 7 sides. One angle goes inside of the shape.
Option A
B
A polygon has 8 sides.
Option B
C
A polygon has 8 sides. One angle goes inside of the shape.
Option C
D
A polygon has 7 sides.
Option D
6

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

A
rectangular prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
7

The right triangular prism has a volume of 1,152 cm3.

Question illustration
A
6
B
8
C
12
D
16
8

The volume of the triangular block is 4 cubic inches.

Question illustration
A
1.4 in.
B
2.0 in.
C
2.8 in.
D
3.5 in.
9

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
10

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.

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

The regular hexagon has a radius of 4 in.

Question illustration
A
24 in.2
B
42 in.2
C
48 in.2
D
84 in.2
12

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.
13

A regular pentagon is shown.

Question illustration
A
5.88 cm
B
8.09 cm
C
12.36 cm
D
17.01 cm
14

On a coordinate plane, parallelogram R S T U has points (negative 3, 2), (4, negative 1), (4, negative 4), and (negative 3, negative 1).

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

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
16

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

A
cone
B
rectangular prism
C
square pyramid
D
triangular pyramid
17

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
18

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.

Question illustration
A
2.7 cm2
B
4.1 cm2
C
16.2 cm2
D
24.2 cm2
19

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
20

The area of the regular pentagon is 6.9 cm2.

Question illustration
A
2 cm
B
5 cm
C
10 cm
D
20 cm

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