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1.
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Which piece could complete this cube? 
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2.
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When folded on the dotted lines, which net will not form a rectangular
prism?
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3.
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The surface area of a plastic ball is  . A sponge ball has a radius twice
that of the plastic ball. What is the surface area of the sponge ball?
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4.
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This solid figure is constructed with
seven cubes.
Which shape represents the side view of this three-dimensional solid? |  | | |
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5.
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Which is closest to the total surface area of a cylinder with a radius of 12
milimeters and a height that is equal to its diameter?
A) | 1357 sq mm | B) | 2714 sq mm | C) | 4524 sq mm | D) | 10857 sq
mm |
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6.
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A square pyramid is placed on its square base.
Which statement about the
pyramid is incorrect? | | | |
A) | The view from the front is a
triangle. | C) | The view from the top is a
square. | B) | The view from the bottom is a
square. | D) | The view from the left is a rectangle. |
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7.
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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 |
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8.
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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? |  | | |
A) | 13.7 cu in | B) | 30.5 cu in | C) | 33.5 cu in | D) | 47.2 cu
in |
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9.
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The cargo space of a Stoughton trailer is
2.42 meters wide, 2.65 meters high, and 8.29 meters long.
How many cubic meters of
cargo space does the truck have? |  | | |
A) | 42.03 | B) | 53.16 | C) | 167.02 | D) | 96.89 |
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10.
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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 |
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11.
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The figure shows a right circular cone on
top of a hemisphere with the same radius.
To the
nearest whole number, what is the volume of this solid? |  | | |
A) | 1129 yd3 | B) | 1026 yd3 | C) | 1950 yd3 | D) | 1796
yd3 |
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12.
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A tepee in the shape of a right cone has a slant height of 18.9 feet and a
diameter of 16 feet. Approximately how much canvas would be needed to cover the
tepee?
A) | 475 sq ft | B) | 676 sq ft | C) | 950 sq ft | D) | 158 sq
ft |
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13.
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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? |  | | |
A) | 244 cubic feet | B) | 248 cubic feet | C) | 252 cubic feet | D) | 256 cubic
feet |
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14.
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Which is closest to the volume of a sphere with a radius equal to 11
inches?
A) | 696.9 in3 | B) | 4,181.5 in3 | C) | 16,725.8
in3 | D) | 5,575.3 in3 |
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15.
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Which is closest to the total surface area of a cylinder with a radius of 12
milimeters and a height that is equal to its diameter?
A) | 1357 sq mm | B) | 2714 sq mm | C) | 4524 sq mm | D) | 10857 sq
mm |
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16.
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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?
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17.
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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  full? | -- length = 26 inches
-- width = 8
inches
-- height = 10 inches | | |
A) | 970.7 cu in. | B) | 1,386.7 cu in. | C) | 3,120 cu in. | D) | 2,080 cu
in. |
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18.
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A tablet computer box in the shape of a rectangular prism is shown. The height of the box is 3 cm.
The
height of the original box will be increased by 2.5 centimeters so a new instruction manual and an
extra battery can be included. Which is closest to the total surface area of the new
box? |  | | |
A) | 515.5 in² | B) | 543 in² | C) | 567 in² | D) | 681
in² |
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19.
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This container is composed of a
right circular cylinder and a right circular
cone.
Which is closest to the surface area of the contianer? |  | | |
A) | 1175 cm² | B) | 1935 cm² | C) | 2315 cm² | D) | 1555
cm² |
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20.
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What is the total surface area of a rectangular prism box that measures 4 feet
by 1 foot by 3 feet?
A) | 12 sq ft | B) | 16 sq ft | C) | 38 sq ft | D) | 24 sq
ft |
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21.
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The water level in a rectangular prism tank 40 feet by 19 feet is 11 feet high. A rock submerged in
the tank raises the water level 0.2 feet.
What is the volume of the rock? |  | | |
A) | 152 ft3 | B) | 836 ft3 | C) | 3,800 ft3 | D) | 8,512
ft3 |
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22.
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A cylindrical gas container is 3.7 yards high and has a diameter 4.9 yards.
Approximately how many cubic yards of gas will the container hold when it is three-quarters
full?
A) | 21.36 | B) | 52.33 | C) | 71 | D) | 209.32 |
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23.
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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 |
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24.
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A swimming pool is being filled at the rate of 8 cubic yards per minute.
If the pool is 10 yards long, 12 yards wide, and 2 yards deep, how many minutes will it take to fill
the pool?
A) | 30 minutes | B) | 90 minutes | C) | 240 minutes | D) | 270
minutes |
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25.
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The volume of a cube is 27 cubic inches. What is the surface area of the
cube?
A) | 9 in² | B) | 54 in² | C) | 81 in² | D) | 162
in² |
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