3/18/13
POW #16 - 2013
Print C lose
Teacher: Ms. Williams
Name: ____________________________________
1.
4.
A side of a cube measures 4 centimeters and a side of a
smaller cube measures 2 centimeters. The volume of the
larger cube is how many times the volume of the smaller
cube?
The volume of a rectangular solid is 80 cubic
centimeters, the length is 2 centimeters, and the width is
4 centimeters. What is the height of the rectangular
solid?
1. 6
2. 2
1.
2.
3.
4.
3. 8
4. 4
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5 centimeters
6 centimeters
10 centimeters
20 centimeters
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2.
5.
The volume of a rectangular solid is 180 cubic
centimeters. The length is 10 centimeters, and the width
A right circular cylinder has a base whose area is 12π. If
is 4 centimeters. Using the formula V = lwh, calculate
the height of the cylinder is 6, the volume of the cylinder
the height.
is
1.
2.
3.
4.
4.5 centimeters
45 centimeters
72 centimeters
7200 centimeters
1. 18π
2. 24π
3. 36π
4. 72π
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6.
3.
If the length of the edge of a cube is 5x, the volume of
the cube is
1.
2.
3.
4.
5x 3
15x 3
The volume of a cube is 64 cubic inches. Its total
surface area, in square inches, is
1. 16
3. 96
2. 48
4. 576
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125x 3
625x 3
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7.
10.
Which polygon makes up the bases of this prism?
Which piece of paper can be folded into a pyramid?
1. hexagon
2. heptagon
3. octagon
4. nonagon
1.
3.
2.
4.
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8.
11.
Which polygon makes up the bases of this prism?
Triangle ABC represents a metal flag on pole AD, as
shown in the accompanying diagram. On a windy day
the triangle spins around the pole so fast that it looks like
a three-dimensional shape.
1. hexagon
2. heptagon
3. octagon
4. nonagon
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9.
Which is the correct formula for finding the surface area
of a rectangular prism?
1. 2hw + 2lh + 3hw
2. 2lw + 2lh + 2hw
3. 2lw × 2lh × 2hw
4.
Which shape would the spinning flag create?
1. sphere
2. pyramid
3. right circular cylinder
4. cone
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12.
14.
A box in the shape of a cube has a volume of 64 cubic
inches. What is the length of a side of the box?
A storage container in the shape of a right circular
cylinder is shown in the accompanying diagram.
1.
in
2. 16 in
3. 8 in
4. 4 in
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13.
Which diagram represents the figure with the greatest
volume?
1.
3.
What is the volume of this container, to the nearest
hundredth?
1. 56.55 in3
3. 251.33 in3
2. 125.66 in3
4. 502.65 in3
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2.
4.
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15.
17.
Find the surface area of the closed cylinder shown in
the diagram. Its radius is 2 centimeters and its height is
6 centimeters.
What is the surface area of the rectangular solid shown
in the diagram?
1. 32π cm2
3. 40π cm2
2. 28π cm2
4. 56π cm2
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1. 45 cm3
3. 52.5 cm2
2. 22.5 cm2
4. 90 cm2
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18.
The volume of the box shown in the diagram is 40π3
cubic units. Find the length of ‘x’.
16.
If the volume of the cylinder below is 48π cubic inches,
what is the diameter of the cylinder?
1. 4 inches
2. 8 inches
3. 16 inches
4. 2 inches
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1. 4π units
2. 4 units
3. 33π units
4. 4π2 units
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19.
21.
What is the surface area of this regular pyramid?
If the volume of this regular pyramid is 300 ft3, what is
the length of one of the sides of its square base?
1. 525 square units
2. 825 square units
3. 600 square units
4. 1050 square units
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20.
1. 36 ft
What is the volume of the regular triangular prism shown 2. 18 ft
below?
1. 36
2. 144
cm3
cm3
3.
4. 13
cm3
cm3
3. 6 ft
4. 12 ft
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22.
23.
Find the volume of the cone below.
Find the surface area of the regular hexagonal prism.
1.
2.
3.
4.
1. 539π cm3
2.
cm3
54 + 36
270
216 + 108
36 + 54
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3. 179π cm3
4.
cm3
24.
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If the surface area of the box in the diagram is 204.25
square feet, what is the value of ‘x’?
1. 3 ft
3. 4.5 ft
2. 2.25 ft
4. 5 ft
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25.
26.
What is the lateral area of the cone shown below?
The cone below has a slant height of 13 cm. If the
lateral area of the cone is 91π cm2, what is its diameter?
1.
2.
3.
4.
10 ft
5π ft2
60π ft2
120π ft2
1. 7 cm
2. 10 cm
3. 14 cm
4. 24 cm
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27.
If the volume of a cone is 168π inches3 and its altitude is
14 inches, what is the radius of the cone?
1. 36 inches
3. 72 inches
2. 12 inches
4. 6 inches
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28.
30.
Find the volume of the sphere centered at O, below, if
the length of
is 4.5 cm.
Given the volume of a sphere is 36π cm3, what would
be the surface area of the same sphere?
1. 18π cm2
3. 72π cm
2. 36π cm
4. 36π cm2
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31.
Given the surface area of a sphere is 900π, what is the
volume of the sphere?
1. 1125π
3. 3375π
2. 4500π
4. 9000π
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1. 121.5π cm3
3. 364.5 cm3
2. 27π cm3
4. 27π cm2
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29.
If the volume of a sphere is 660 mm3, what is the radius
of the sphere, to the nearest tenth of a millimeter?
1. 10.8 mm
2. 2.7 mm
3. 5.4 mm
4. 2.25 mm
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32.
33.
Given the lateral area of the following cone is 94.25 ft2, What is the surface area of the cone below?
which of the following is the measure of the altitude of
the cone?
1. 91 ft
2.
ft
1. 24π
3. 3π
2. 12π
4. 4
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3. 8 ft
4. 6 ft
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34.
35.
The pyramid in the diagram below has a square base,
What is the lateral area of the cylinder shown below?
30 feet on each side. Its slant height is 150 feet. What is
the lateral area of the pyramid?
1. 18,000 ft2
3. 18,900 ft2
2. 9,900 ft2
4. 9,000 ft2
1. 200π mm2
3. 400π mm2
2. 100π mm2
4. 232π mm2
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36.
38.
Given the lateral area of the box below is 168, solve for Find the area of one of the bases of a circular cylinder
‘x’.
whose lateral area is 30π and whose height is 5.
1. 3π
3. 9π
2. 6π
4. 81π
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39.
The figure in the diagram below is a triangular prism.
1. 12
3. 6
2. 24
4. 18
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37.
If the lateral area below is 72
ft2,
Which statement must be true?
solve for ‘x’.
1.
2.
3.
4.
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1. 8 ft
2. 12 ft
3. 16 ft
4. 4 ft
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40.
41.
The diagram shows a pyramid with a square base.
The diagram shows a prism. The base is a regular
pentagon.
Which of the following statements is false?
1.
2.
3.
4.
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Which of the following statements is false?
1.
2.
3.
4.
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42.
The lateral faces of a regular pyramid are composed of
1.
2.
3.
4.
squares
rectangles
congruent right triangles
congruent isosceles triangles
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43.
45.
In the diagram below, a right circular cone has a
diameter of 8 inches and a height of 12 inches.
Which expression represents the volume, in cubic
centimeters, of the cylinder represented in the diagram
below?
What is the volume of the cone to the nearest cubic
inch?
1. 201
2. 481
1. 162π
3. 972π
2. 324π
4. 3,888π
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3. 603
4. 804
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44.
A right circular cylinder has a volume of 1,000 cubic
inches and a height of 8 inches. What is the radius of the
cylinder to the nearest tenth of an inch?
1. 6.3
3. 19.8
2. 11.2
4. 39.8
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46.
48.
The diagram below shows a right pentagonal prism.
The diagram below shows a rectangular prism.
Which pair of edges are segments of lines that are
coplanar?
Which statement is always true?
1.
2.
3.
4.
||
||
||
||
1.
2.
3.
4.
and
and
and
and
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47.
If the surface area of a sphere is represented by 144π,
what is the volume in terms of π?
1. 36π
3. 216π
2. 48π
4. 288π
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49.
50.
In the diagram below,
AEFG.
is perpendicular to plane
A packing carton in the shape of a triangular prism is
shown in the diagram below.
What is the volume, in cubic inches, of this carton?
Which plane must be perpendicular to plane AEFG?
1. ABCE
2. BCDH
3. CDFE
4. HDFG
1. 20
3. 120
2. 60
4. 240
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