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Cumulative Ch 12 Gateway

 1. 
The surface area of a plastic ball is mc001-1.jpg.  A sponge ball has a radius twice that of the plastic ball.  What is the surface area of the sponge ball?
A)
mc001-5.jpg
B)
mc001-6.jpg
C)
mc001-7.jpg
D)
mc001-8.jpg
 

 2. 
A fish tank in the shape of a rectangular prism has these dimensions:

What is the volume of water in the tank when it is mc002-1.jpg full?		      -- length = 18 inches
      -- width = 10 inches
      -- height = 11 inches
A)
1,485 cu in.
B)
924 cu in.
C)
2,640 cu in.
D)
1,980 cu in.
 

 3. 
A concrete pillar shaped as a
rectangular prism is designed as follows.








Which is closest to the volume of concrete needed to fill the pillar?		mc003-1.jpg
A)
30.4 ft3
B)
12.6 ft3
C)
72.7 ft3
D)
32.9 ft3
 

 4. 
To the nearest gallon, what is the volume of a cylindrical water heater 2.6 feet in diameter and 4.4 feet tall?  (1 cubic foot = 7.48 gallons)
A)
699 gal
B)
134 gal
C)
175 gal
D)
269 gal
 

 5. 
A machine for baling hay produces cylindrical
bales that are 8 feet in diameter and mc005-1.jpg feet in height.


Which is closest to the number of cubic feet in each bale of hay the machine produces?
mc005-2.jpg
A)
1068
B)
267
C)
67
D)
534
 

 6. 
The surface area of a plastic ball is mc006-1.jpg.  A sponge ball has a radius twice that of the plastic ball.  What is the surface area of the sponge ball?
A)
mc006-5.jpg
B)
mc006-6.jpg
C)
mc006-7.jpg
D)
mc006-8.jpg
 

 7. 
Given:  Parallelogram QWLE where
mc007-1.jpg and mc007-2.jpg.
                            
What value of x proves this parallelogram is a rhombus?		mc007-3.jpg

mc007-4.jpg
A)
12
B)
–90
C)
12
D)
13
 

 8. 
This solid figure is constructed
with seven cubes.
                                 
Which shape represents the top view of this three-dimensional solid?		mc008-1.jpg
A)
mc008-2.jpg
C)
mc008-4.jpg
B)
mc008-3.jpg
D)
mc008-5.jpg
 

 9. 
In the figure, 
mc009-1.jpg,
mc009-2.jpg,
and mc009-3.jpg,

What value for the measure of mc009-4.jpg would make mc009-5.jpg similar to mc009-6.jpg?		mc009-7.jpg
A)
9
B)
6.67
C)
15
D)
5.4
 

 10. 
In the figure,





what is the value of x ?		mc010-1.jpg
A)
mc010-6.jpg
B)
mc010-7.jpg
C)
10
D)
5
 

 11. 
Rounded to the nearest hundred cubic milimeters,
what is the total capacity (cone and cylinder) of the storage container?mc011-1.jpg
A)
1300
B)
800
C)
2000
D)
1400
 

 12. 
In this figure,
mc012-1.jpg and
mc012-2.jpg

          
What is mmc012-3.jpg1?		mc012-4.jpg
A)
130°
B)
70°
C)
110°
D)
160°
 

 13. 
The water level in a rectangular prism tank
40 milimeters by 19 milimeters is 9 milimeters high.  A rock submerged in the tank raises the water level 0.2 milimeters.

What is the volume of the rock?		mc013-1.jpg
A)
684 mm3
B)
3,800 mm3
C)
6,992 mm3
D)
152 mm3
 

 14. 
In circle K,
the degree measure
of minor arc mc014-1.jpg is --		mc014-2.jpg
    
A)
270°
B)
90°
C)
135°
D)
45°
 

 15. 
The cylinders shown are similar.










What is the volume of the larger cylinder? 		mc015-1.jpg
A)
mc015-5.jpg m3
B)
mc015-6.jpg m3
C)
mc015-7.jpg m3
D)
mc015-8.jpg m3
 

 16. 
Which of the following could not be the lengths of the sides of a triangle?
A)
22 in., 23 in., 45 in.
C)
30 in., 28 in., 29 in.
B)
28 in., 39 in., 35 in.
D)
24 in., 25 in., 26 in.
 

 17. 
Consider the following statement.
          If mc017-1.jpg, then x = 3.
Which is the inverse of the statement?
A)
If mc017-2.jpg, then mc017-3.jpg.
C)
If mc017-6.jpg, then mc017-7.jpg.
B)
If mc017-4.jpg, then mc017-5.jpg.
D)
If mc017-8.jpg, then mc017-9.jpg.
 

 18. 
An aquarium tank is 4.2 feet long, 1.3 feet wide, and 2.7 feet high. How many gallons of water would it take to fill the tank one-third full? (A cubic foot is 7.48 gallons)
A)
334.15
B)
36.39
C)
110.27
D)
145.56
 

 19. 
Assuming the solid is constructed
from cubes measuring 3 units on each edge and that the figure is completely solid, what is the volume of the cubic solid shown below?mc019-1.jpg
A)
918 cubic units
B)
1593 cubic units
C)
324 cubic units
D)
1836 cubic units
 

 20. 
Click and drag each selected reason to the correct box
Given:  Figure LGTJ with diagonal mc020-1.jpg
            mc020-2.jpg; mc020-3.jpg

Complete the proof of mc020-4.jpg by selecting the reasons for the last two statements.		mc020-5.jpg

Statements
Reasons
 
mc020-6.jpg

mc020-7.jpg


Given
 


mc020-8.jpg
  


mc020-9.jpg
  
A)
Reflexive and SAS
E)
Reflexive and HL
B)
Given and SAS
F)
Dfn of congruent triangles and SSS
C)
Dfn of congruent triangles and HL
G)
Reflexive and SSS
D)
Given and SSS
H)
Given and Dfn of congruent triangles
 

 21. 
A swimming pool is being filled at the rate of 10 cubic yards per minute.  If the pool is 17 yards long, 8 yards wide, and 3 yards deep, how many minutes will it take to fill the pool?
A)
408 minutes
B)
122.4 minutes
C)
367.2 minutes
D)
40.8 minutes
 

 22. 
Line m contains the points
(-8, 5) and (8, -3). 



Plot a point other than point A with integral coordinates that is on a line parallel to m and passes through point A.		mc022-1.jpg
                    
A)
(-7, 0)
B)
(-8, 1)
C)
(-9, 1)
D)
(-8, 0)
 

 23. 
The ratio of the volume of two spheres is 8:27.  What is the ratios of the lengths of the radii of these two spheres?
A)
1:3
B)
 8:27
C)
2:3
D)
4:9
 

 24. 
In the drawing:
Triangle E´F´G´ is: mc024-1.jpg
A)
a reflection of triangle EFG across the x-axis
B)
a translation of triangle EFG across the y-axis
C)
a reflection of triangle EFG across the y-axis
D)
a 180 counter-clockwise rotation of triangle EFG about the origin
 

 25. 
Which is closest to the volume of a sphere with a radius equal to 5 yards?
A)
1,570.8 yd3
B)
523.6 yd3
C)
392.7 yd3
D)
65.4 yd3
 



 
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