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Ch 11/2 Gateway



 1. 

An aquarium tank is 2.8 feet long, 1.2 feet wide, and 2.3 feet high. How many gallons of water would it take to fill the tank two-thirds full? (A cubic foot is 7.48 gallons)
A)
38.15
B)
57.81
C)
87.58
D)
152.61
 

 2. 

A sphere with a 2-inch radius
is packed in a cube so that all sides touch. 



How much empty space is left in the cube?
mc002-1.jpg
A)
13.7 cu in
B)
30.5 cu in
C)
33.5 cu in
D)
47.2 cu in
 

 3. 

A cylindrical paint can has a capacity of two gallon.  For another size can, the height is tripled.  What is the capacity of the larger size?
A)
6 gal.
B)
18 gal.
C)
54 gal.
D)
0.67 gal.
 

 4. 

What is the volume in cubic feet of a refrigerator whose interior is 4.5 feet tall, 2.5 feet wide, and 2 feet deep?
A)
15 cu ft
B)
19 cu ft
C)
22.5 cu ft
D)
25 cu ft
 

 5. 

Rounded to the nearest hundred cubic feet,
what is the total capacity (cone and cylinder) of the storage container?mc005-1.jpg
A)
5200
B)
2900
C)
4800
D)
7500
 

 6. 

What is the volume of a right square pyramid with a height of 7 inches and a base that measures 10 inches by 10 inches?
A)
233.3 in3
B)
23.3 in3
C)
163.3 in3
D)
272 in3
 

 7. 

The Pyramid of the Moon at Teotihuacan in Mexico has a square base with sides of length 150 meters and a height of 43 meters. Approximately what is the volume of the Pyramid of the Moon?
A)
90,000 m3
B)
320,000 m3
C)
280,000 m3
D)
970,000 m3
 

 8. 

What is the approximate volume of a ampule that is 7 centimeters tall and has a 3 centimeter diameter?
A)
33 cu cm
B)
49.5 cu cm
C)
66 cu cm
D)
197.9 cu cm
 

 9. 

The ratio between the volumes of two spheres is 216 to 8. What is the ratio between their respective radii?
A)
1296:64
B)
216:16
C)
36:4
D)
6:2
 

 10. 

To the nearest gallon, what is the volume of a cylindrical water heater 1.3 feet in diameter and 3.5 feet tall?  (1 cubic foot = 7.48 gallons)
A)
54 gal
B)
35 gal
C)
107 gal
D)
139 gal
 

 11. 

This drawing shows cubic boxes
stacked in the corner of a warehouse.





If each box will hold 4 cubic feet, what is the total capacity of the stack of boxes?
mc011-1.jpg
A)
244 cubic feet
B)
248 cubic feet
C)
252 cubic feet
D)
256 cubic feet
 

 12. 

The cylinders shown are similar.










What is the volume of the larger cylinder?
mc012-1.jpg
A)
mc012-5.jpg m3
B)
mc012-6.jpg m3
C)
mc012-7.jpg m3
D)
mc012-8.jpg m3
 

 13. 

A right square pyramid has a height of 12 feet and a base area of 41.37 square feet. What is the volume, in cubic feet, of the pyramid?
A)
165.48
B)
248.22
C)
330.96
D)
496.44
 

 14. 

The radius of Sphere M is 3 meters, and the radius of Sphere L is 5 meters.  How many times larger is the volume of Sphere L compared to the volume of Sphere M ?
A)
1.67
B)
4
C)
2.78
D)
4.63
 

 15. 

A cylinder has a diameter of 18 centimeters and a height 4 times its radius.  What is its volume?
A)
mc015-1.jpg cu cm
B)
mc015-2.jpg cu cm
C)
mc015-3.jpg cu cm
D)
mc015-4.jpg cu cm
 

 16. 

A cone has a slant height of 12 centimeters and a lateral area of 60p square centimeters. What is the volume of a sphere with a radius equal to that of the cone?
A)
mc016-2.jpg
B)
mc016-3.jpg
C)
mc016-4.jpg
D)
mc016-5.jpg
 

 17. 

This is one view of a 3-dimensional object.





Which is a different view of the same object?
mc017-1.jpg
A)
mc017-2.jpg
B)
mc017-3.jpg
C)
mc017-4.jpg
D)
mc017-5.jpg
 

 18. 

Which is a two-dimensional representation
of the view from in back of the figure?mc018-1.jpg
A)
mc018-2.jpg
B)
mc018-3.jpg
C)
mc018-4.jpg
D)
mc018-5.jpg
 

 19. 

Which could be the view of this stack
of cubes from directly above?mc019-1.jpg
A)
mc019-2.jpg
B)
mc019-3.jpg
C)
mc019-4.jpg
D)
mc019-5.jpg
 

 20. 

Which are the
top, side, and front views of the object shown?mc020-1.jpg
                          
A)
mc020-2.jpg
C)
mc020-4.jpg
B)
mc020-3.jpg
D)
mc020-5.jpg
 

 21. 

Which of the following nets can be folded along the dashed lines to form a cube?
A)
mc021-1.jpg
B)
mc021-2.jpg
C)
mc021-3.jpg
D)
mc021-4.jpg
 

 22. 

Which represents a two-dimensional view from directly above the figure?
mc022-1.jpg
A)
mc022-2.jpg
C)
mc022-4.jpg
B)
mc022-3.jpg
D)
mc022-5.jpg
 

 23. 

The following drawing represents
a tetrahedron.


Which of the following nets could be folded on the dashed lines to form a tetrahedron?
mc023-1.jpg
A)
mc023-2.jpg
C)
mc023-4.jpg
B)
mc023-3.jpg
D)
mc023-5.jpg
 

 24. 

The surface area of a plastic ball is mc024-1.jpg.  A sponge ball has a radius twice that of the plastic ball.  What is the surface area of the sponge ball?
A)
mc024-5.jpg
B)
mc024-6.jpg
C)
mc024-7.jpg
D)
mc024-8.jpg
 

 25. 

Which of the following nets could not be folded along the dotted lines to form a cube?
A)
mc025-1.jpg
C)
mc025-3.jpg
B)
mc025-2.jpg
D)
mc025-4.jpg
 



 
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