Equations and Measurement — Test Answers

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1
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What is the volume of the pyramid?

A
2 point 5 cm cubed
B
5 cm cubed
C
6 cm cubed
D
7 point 5 cm cubed
2
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What is the volume of the cone?

A
32 pi cubic units
B
48 pi cubic units
C
24 pi cubic units
D
64 pi cubic units
3

Which statements are true? Choose three correct answers.

A
City A has the greatest population density of the four cities.
B
The population density of City B is greater than that of City C.
C
City D has the lowest population density of the four cities.
D
The population density for City B can be found using the ratio 48 comma ratio of 592 to 26 .
E
The population density for City D can be found using the ratio ratio of 258 to 196 comma 429 .
5

The company wants to use the package that has the least amount of wasted space. The company should choose

A
the prism because it has approximately 14 point 1 in. cubed less wasted space than the cylinder.
B
the prism because it has approximately 11 point 6 in. cubed less wasted space than the cylinder.
C
the cylinder because it has approximately 11 point 6 in. cubed less wasted space than the prism.
D
the cylinder because it has approximately 14 point 1 in. cubed less wasted space than the prism.
6

What is the volume of the composite figure? Express the answer in terms of pi

A
456 pi mm cubed
B
312 pi mm cubed
C
168 pi mm cubed
D
144 pi mm cubed
11

What is the volume of the shaded figure? Express the answer in terms of pi

A
252 pi ft cubed
B
261 pi ft cubed
C
288 pi ft cubed
D
324 pi ft cubed
12

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

A
pi open paren 5 squared close paren 13 minus 1 third pi open paren 5 squared close paren 12
B
pi open paren 5 squared close paren 13 plus 1 third pi open paren 5 squared close paren 25
C
pi open paren 5 squared close paren 13 minus 1 third pi open paren 5 squared close paren 25
D
pi open paren 5 squared close paren 13 plus 1 third pi open paren 5 squared close paren 12
13

What is the unfilled volume inside the cylinder?

A
725 pi cubic units
B
640 pi cubic units
C
597 pi cubic units
D
320 pi cubic units
14

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

A
4 x squared square root of 3 units squared
B
3 x squared square root of 3 units squared
C
x squared square root of 3 units squared
D
6 x squared square root of 3 units squared
19

What is the volume of the pyramid?

A
22 point 2 units cubed
B
11 point 1 units cubed
C
14 point 8 units cubed
D
44 point 4 units cubed
20

What is the volume of the right rectangular prism?

A
240 cubic centimeters
B
21 cubic centimeters
C
120 cubic centimeters
D
42 cubic centimeters

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