AnswersTPS EdX GeometryGeometric Modeling

Practice Test Answers

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Which statements about the cylinder are true? Choose two correct answers.

A
The area of the cylinder’s base is 1 fourth pi x squared square units.
B
The area of the cylinder’s base is 1 half pi x squared square units.
C
The radius of the cylinder is 2 x units.
D
The height of the cylinder is 2 x units.
E
The height of the cylinder is 4 x units.
2
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The more people living in an area, the more likely it is that public buses will be used. City A has a population of 51 comma 242 and covers an area of 89 point 2 2 mi squared City B has a population of 50 comma 178 and covers an area of 8 point 1 2 mi squared Which statement about use of public buses in the cities is most likely true?

A
The residents of both cities are unlikely to use public buses because both population densities are too high.
B
The residents of both cities are equally likely to use public buses because both population densities are about the same.
C
The residents of City B are more likely to use public buses because their city has a greater population density.
D
The residents of City A are more likely to use public buses because their city has a greater population density.
3

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
x cubed plus 3 x squared
B
x cubed plus 9
C
x cubed plus 6 x squared plus 9 x
D
x cubed plus 3 x plus 3
4

Which expression represents the volume, in cubic units, of the shaded region of the composite figure?

A
1 half 14 10 8 plus pi open paren 2 point 5 squared close paren 8
B
1 third 1 half 10 8 14 minus pi open paren 2 point 5 squared close paren 8
C
1 half 14 10 8 minus pi open paren 2 point 5 squared close paren 8
D
1 third 1 half 10 8 14 plus pi open paren 2 point 5 squared close paren 8
5

What is the volume of the composite figure?

A
5 comma 040 units cubed
B
4 comma 400 units cubed
C
6 comma 000 units cubed
D
1 comma 200 units cubed
6

Which expression represents the volume of the pyramid?

A
the fraction with numerator x cubed plus 2 x squared and denominator 2 cm cubed
B
the fraction with numerator x squared plus 2 x squared and denominator 2 cm cubed
C
the fraction with numerator x cubed plus 2 x squared and denominator 3 cm cubed
D
the fraction with numerator x cubed and denominator 3 cm cubed
7

If the two towns have the same population density, which must also be true?

A
Town B has a population of approximately 37 comma 530 .
B
Town B has the same population as Town A.
C
Town B has a greater population than Town A.
D
Town B has a population of approximately 5 comma 138 .
8

What is the volume of the cylinder?

A
2 comma 600 pi cubic units
B
2 comma 700 pi cubic units
C
2 comma 400 pi cubic units
D
2 comma 500 pi cubic units
9

Which expression represents the volume of the pyramid?

A
s squared h units cubed
B
1 fourth s squared h units cubed
C
3 s squared h units cubed
D
1 third s squared h units cubed
10

Which expression represents the volume of the prism?

A
x times open paren x minus 2 close paren cubic units
B
x squared times open paren x plus 1 close paren cubic units
C
x times open paren x plus 1 close paren cubic units
D
x squared times open paren x minus 2 close paren cubic units

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