AnswersINMT2 Integrated Math 2 Sem 2 26-27Changing Dimensions of 3-D Figures

Changing Dimensions of 3-D Figures Answers

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1
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A shipping box in the shape of a cube has an edge length of 8 inches. It can hold 8 mugs with no extra space between them.

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A
16
B
24
C
48
D
64
2
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The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2.What is the surface area of the smaller solid?

A
107 m2
B
214 m2
C
1034 m2
D
6848 m2
3

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?

A
3
Option A
B
4
C
4
Option C
D
5
4

Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. The surface area of the larger pyramid is 56 cm2.What is the surface area of the smaller pyramid?

A
40.1 cm2
B
42.7 cm2
C
52.2 cm2
D
59.8 cm2
5

The rectangular prisms shown are similar.

Question illustration
A
1.26 cm2
B
1.26 cm3
C
3.78 cm2
D
3.78 cm3
6

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units. The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is 10.2 centimeters. Which triangular prism is similar to the described prism?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

The radius of the large sphere is three times longer than the radius of the small sphere.

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

A square pyramid has a base side length of 20.4 cm and a height of 18.2 cm. Which square pyramid is similar?

A
base side length = 18.2 cm, height = 20.4 cm
B
base side length = 22.9 cm, height = 20.7 cm
C
base side length = 30.6 cm, height = 27.3 cm
D
base side length = 40.8 cm, height = 45.5 cm
10

A cube has an edge length of 9 centimeters.

Question illustration
A
72 cm
B
72 cm2
C
108 cm
D
108 cm2

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