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Geometric Modeling — Test Answers

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What is the volume of the cylinder? Round to the nearest tenth.

A
62 point 8 cubic units
B
314 point 2 cubic units
C
31 point 4 cubic units
D
157 point 1 cubic units
3

What is the volume of the pyramid?

A
43 and 3 fourths cm cubed
B
11 and 2 thirds cm cubed
C
58 and 1 third cm cubed
D
87 and 1 half cm cubed
4

Which expression represents the area of the base of the pyramid?

A
6 x squared square root of 3 units squared
B
3 x squared square root of 3 units squared
C
4 x squared square root of 3 units squared
D
x squared square root of 3 units squared
5

When the large prism was reduced, the surface area changed by a factor of

A
64 over 125 .
B
4 fifths .
C
10 eighths .
D
16 over 25 .
7

A cylinder has a radius of 2 point 8 inches and a height of 2 point 4 inches. Which cylinder is similar?

A
Image with description A cylinder was radius 2.4 inches and height 2.8 inches.
B
Image with description A cylinder was radius 5.6 inches and height 4.2 inches.
C
Image with description A cylinder was radius 1.8 inches and height 1.4 inches.
D
Image with description A cylinder was radius 1.4 inches and height 1.2 inches.
9

Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?

A
The surface area of the larger prism is 8 times the surface area of the smaller prism.
B
The surface area of the larger prism is 4 times the surface area of the smaller prism.
C
The surface areas are the same.
D
The surface area of the larger prism is 2 times the surface area of the smaller prism.
10

What is the volume of the pyramid?

A
2 point 4 cm cubed
B
4 point 8 cm cubed
C
3 point 6 cm cubed
D
7 point 2 cm cubed
11

What is BC , the height of the pyramid?

A
14 square root of 2 units
B
7 square root of 2 units
C
14 units
D
7 units
12

Which expression represents the volume of the pyramid?

A
1 fifth 5 point 2 h cm cubed
B
1 third 5 point 2 h cm cubed
C
1 over 3 h 5 point 2 h cm cubed
D
1 over 5 h 5 point 2 h cm cubed
13

What is the volume of the pyramid?

A
7 point 5 cm cubed
B
5 cm cubed
C
6 cm cubed
D
2 point 5 cm cubed
14

What is the volume of the pyramid?

A
486 cm cubed
B
324 cm cubed
C
72 square root of 3 cm cubed
D
108 square root of 3 cm cubed
15

What is the approximate volume of the tube? Round to the nearest whole cubic centimeter.

A
1 comma 340 cm cubed
B
1 comma 005 cm cubed
C
4 comma 021 cm cubed
D
3 comma 351 cm cubed
16

What is the volume of the pyramid?

A
11 point 1 units cubed
B
22 point 2 units cubed
C
44 point 4 units cubed
D
14 point 8 units cubed
17

What is the unfilled volume inside the cylinder?

A
725 pi cubic units
B
320 pi cubic units
C
597 pi cubic units
D
640 pi cubic units
19

What is the radius of the cone?

A
3 units
B
6 units
C
9 units
D
2 units
20

What is the area of the base of the smaller prism, rectangle ABCD ?

A
1 point 2 6 cm squared
B
3 point 7 8 cm squared
C
1 point 2 6 cm cubed
D
3 point 7 8 cm cubed

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