AnswersEAP-Geometry B CREquation of a Circle

Changing Dimensions of 3-D Figures Answers

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The volume of a triangular prism is increased by a factor of 8.By what factor is the surface area of the figure increased?

A
2
B
4
C
16
D
24
2
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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
3

A box in the shape of a rectangular prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6 inches on each side. If the length and width of the base are doubled, how many cubes could the new box hold?

A
18
B
24
C
48
D
96
4

The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.

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Option A
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Option C
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Option D
5

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
6

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

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

The surface area of a rectangular prism is increased by a factor of 16.By what factor is the volume of the figure increased?

A
4
B
8
C
32
D
64
8

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?

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Option A
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Option B
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Option C
D
Option
Option D
9

Two spheres have volumes of 8π cm3 and 64π cm3. If the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere?

A
64π cm2
B
96π cm2
C
128π cm2
D
256π cm2
10

The rectangular prisms shown are similar.

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

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