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

Three-Dimensional Figures and Cross Sections — Unit test Answers

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A regular hexagon is shown.

Question illustration
A
4 in.
B
5 in.
C
9 in.
D
11 in.
2
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A solid right pyramid has a square base with an edge length of s units and a height of h units.

Question illustration
A
s2h units3
Option A
B
s2h units3
Option B
C
s2h units3
D
3s2h units3
3

On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).

Question illustration
A
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
B
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
C
The area of parallelogram 1 is equal to the area of parallelogram 2.
D
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
4

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

Question illustration
A
cm3
Option A
B
cm3
Option B
C
cm3
Option C
D
cm3
Option D
5

Which statements about the octagon are true? Select two options.

A
The length of segment YZ is 15.3 cm.
B
The measure of the angle formed by the radius and the apothem is 30°.
C
The length of segment XY can be found by solving for a in 202 – 7.652 = a2.
D
The length of segment WZ is 20 cm.
E
The measure of the central angle, ∠ZXW, is 45°.
6

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

Question illustration
A
2 ft3
B
4 ft3
C
6 ft3
D
8 ft3
7

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws.

Question illustration
A
2 (18 + 4)
B
(18 + 4)
Option B
C
(18 + 4)
D
(18 - 4)
8

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
x3 + 9
B
x3 + 3x2
C
x3 + 3x + 3
D
x3 + 6x2 + 9x
9

A polygon with 3 sides is stacked to form a prism.

Question illustration
A
square
B
trapezoid
C
triangle
D
non-square rectangle
10

An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?

A
pentagon
B
hexagon
C
octagon
D
nonagon
11

How many edges does a rectangular prism have?

A
6
B
8
C
10
D
12
13

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

A
82°
B
92°
C
102°
D
112°
15

On a coordinate plane, triangle R S T has points (negative 3, 2), (3, 2), and (negative 1, 1). An altitude is drawn from point T to point U at (negative 1, 2).

Question illustration
A
6 square units
B
9 square units
C
12 square units
D
18 square units
16

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

Question illustration
A
224 cm2
B
336 cm2
C
448 cm2
D
672 cm2
17

An oblique prism has a square base and height of 3 centimeters.

Question illustration
A
30 cm3
B
45 cm3
C
60 cm3
D
75 cm3
18

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. The length of X Y is 11 and the length of Y C is 4. Sides X B and C Y are congruent.

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

The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Question illustration
A
a cone with base radius of 17 in.
B
a cone with base radius of 34 in.
C
a triangular pyramid with side length of 17 in.
D
a triangular pyramid with side length of 34 in.
20

On a coordinate plane, rhombus W X Y Z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2).

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

Triangle X Y Z is reflected over its hypotenuse to form kite X Y Z Y prime. Hypotenuse X Z has a length of 13, X Y is 5, and Y Z is 12.

Question illustration
A
4.6 units
B
5.4 units
C
8.0 units
D
9.2 units
22

An oblique square prism is shown.

Question illustration
A
x(x – 2) cubic units
B
x(x +1) cubic units
C
x2(x – 2) cubic units
D
x2(x +1) cubic units

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