AnswersOC27 GEO-1206310-S2-Degele-VOL7006PChanging Dimensions of 3-D Figures

Unit 9 Test Answers

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Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty space inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters.

Question illustration
A
81.84 cubic centimeters
B
105.84 cubic centimeters
C
198.264 cubic centimeters
D
222.264 cubic centimeters
2
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Which statements about the cylinder are true? Select two options.

A
The radius of the cylinder is 2x units.
B
The area of the cylinder’s base is πx2 square units.
Option B
C
The area of the cylinder’s base is πx2 square units.
Option C
D
The height of the cylinder is 2x units.
E
The height of the cylinder is 4x units.
3

An oblique cylinder has a radius of 10 units and slant length of 26 units.

Question illustration
A
2,400π cubic units
B
2,500π cubic units
C
2,600π cubic units
D
2,700π cubic units
4

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
5

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
6

The radius of the sphere is 10 units.

Question illustration
A
42 cubic units
B
126 cubic units
C
4187 cubic units
D
73,385 cubic units
7

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

A
x2 + y2 + 4x + 6y – 51 = 0
B
x² + y² – 4x – 6y – 51 = 0
C
x2 + y2 + 4x + 6y – 3 = 0
D
x2 + y2 – 4x – 6y – 3 = 0
8

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm.

Question illustration
A
12 cm3
B
16 cm3
C
32 cm3
D
48 cm3
9

A triangular prism with a rectangular base is stacked on top of a rectangular prism. The rectangle has side lengths of 20 and 15 units. The rectangular prism has a height of 12. The triangular prism has a height of 16 units.

Question illustration
A
1,200 units3
B
4,400 units3
C
5,040 units3
D
6,000 units3
10

Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. If the height of cylinder B is 4 inches, what is the height of cylinder A?

A
8.2 inches
B
8.2 square inches
C
16 inches
D
16 square inches
11

On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 2, 0), and a directrix at x = 2.

Question illustration
A
y2 = –2x
B
y2 = –8x
C
x2 = –2y
D
x2 = –8y
12

A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters.

Question illustration
A
21.1 cm3
B
23.6 cm3
C
27.6 cm3
D
31.6 cm3
13

A grain silo is composed of a cylinder and a hemisphere. The diameter is 4.4 meters. The height of its cylindrical portion is 6.2 meters.

Question illustration
A
37.1 m3
B
71.9 m3
C
116.5 m3
D
130.8 m3
14

Which graph represents the equation x2 = 8y?

A
On a coordinate plane, a parabola opens up. It has a vertex at (0, 0), a focus at (0, 8), and a directrix at y = negative 8.
Option A
B
On a coordinate plane, a parabola opens up. It has a vertex at (0, 0), a focus at (0, 2), and a directrix at y = negative 2.
Option B
C
On a coordinate plane, a parabola opens to the right. It has a vertex at (0, 0), a focus at (2, 0), and a directrix at x = negative 2.
Option C
D
On a coordinate plane, a parabola opens to the right. It has a vertex at (0, 0), a focus at (8, 0), and a directrix at x = negative 8.
Option D
15

A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).

A
y = 2
B
x = 2
C
y = –2
D
x = –2

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