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WorksheetsUNIT 11: GEOMETRY MODELING IN THREE DIMENSIONS
Total questions: 91
Worksheet time: 7hrs 21mins
Name
Class
Date
1.
Volume is the amount of space an object takes up.
a)
True
b)
False
2.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
3.
A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.
a)
5221.5
b)
1255.5
c)
2229.5
d)
2119.5 cm
4.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
5.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
6.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
7.
a)
Pyramids
b)
Spheres
c)
Prisms
d)
Cylinders
8.
a)
Prisms
b)
Pyramids
c)
Cones
d)
Spheres
9.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
10.
a)
24 cubic units
b)
28 cubic units
c)
12 cubic units
d)
20 cubic units
11.
A cereal box is 12cm tall. The area of the base is 7cm. What is the volume?
a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
12.
A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the diagram. What is the volume of this container to the nearest ?
a)
4,241.2
b)
1,696.5
c)
2,160.0
d)
6,785.8
13.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
14.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
15.
Find the volume of the cone. Round your answers to the nearest tenth.
a)
127.3 yd3
b)
347.6 yd3
c)
287.7 yd3
d)
147.7 yd3
16.
What is this formula used to find?
V=πr2h
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
17.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
18.
Find the volume of the 3Dimensional shape
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
19.
What formula do you need to find the area of the base of a cone and cylinder?
a)
A= bh
b)
A= 1/2bh
c)
A=πr2
d)
V= Bh
20.
What is the volume of the following triangular prism?
a)
45 cubic in
b)
36 cubic in
c)
108 cubic in
d)
54 cubic in
21.
Find the volume.
a)
13680 m3
b)
684 m3
c)
1140 m3
d)
228 m3
22.
Find the volume of the cone. Round your answers to the nearest tenth.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
23.
a)
V = 840 ft3
b)
V = 420 ft3
c)
V = 140 ft3
d)
V = 280 ft3
24.
A tetrahedron is a pyramid with a triangular base. Find the volume of the tetrahedron.
a)
22 cubic inches
b)
33 cubic inches
c)
66 cubic inches
d)
44 cubic inches
25.
Find the volume of a HEMIsphere with a radius of 4.
a)
85.3π
b)
62.67π
c)
42.67π
d)
8π
26.
What is the volume of the composite solid?
a)
301.6 cm3
b)
502.7 cm3
c)
268.1 cm3
d)
167.6 cm3
27.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
28.
Find the volume
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
29.
A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.
a)
5221.5
b)
1255.5
c)
2229.5
d)
2119.5 cm
30.
ice cream is served on a cone the height is 7 and the diameter is 6 . What is the radius?
a)
333
b)
3
c)
323
d)
423
31.
Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
32.
10. A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.
a)
10250 cm3
b)
11250 cm3
c)
11250 ft3
d)
10250 ft3
33.
A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the diagram. What is the volume of this container to the nearest ?
a)
4,241.2
b)
1,696.5
c)
2,160.0
d)
6,785.8
34.
Given a cone with the height of 10cm and the base radius of 9cm. Find the volume of this cone?
a)
33
b)
90
c)
332
d)
16
35.
Find the volume of the right cylinder?
a)
6516
b)
2276
c)
1692
d)
9923
36.
length=2
width=2
height=3
width=2
height=3
a)
Volume=12
b)
Volume=7
c)
Volume=223
d)
Volume=18
37.
calculate the volume of this figure.
a)
8M
b)
6M2
c)
8m3
d)
6M
38.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
39.
V = ?
a)
1,077.02 yd3
b)
269.255 yd3
c)
153.86 yd3
40.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
41.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
42.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
43.
The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?
a)
4,188.8
b)
1,333.3
c)
2,364.3
d)
5,000.3
44.
a)
112 in3
b)
336 in3
c)
11.2 in3
d)
33.6 in3
45.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
46.
a)
1120 ft 3
b)
600 ft 3
c)
560 ft 3
d)
64 ft 3
47.
Exact volume =
a)
9π in3
b)
90π in3
c)
282.743π in3
d)
30π in3
48.
What is the volume of this triangular prism?
a)
13 m3
b)
72 m3
c)
30 m3
d)
36 m3
49.
What is the volume of this triangular prism?
a)
576 cm3
b)
288 cm3
c)
333 cm3
d)
28 cm3
50.
What is the volume of the following rectangular pyramid?
a)
8085 cubic meters
b)
5390 cubic meters
c)
16170 cubic meters
d)
10780 cubic meters
51.
Find the volume.
a)
147
b)
588
c)
84
d)
294
52.
r=3
h=10
h=10
a)
V=30∏
b)
V=90∏
c)
V=19∏
d)
V=10∏
53.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
54.
what is the volume?
a)
15yd3
b)
32yd3
c)
222yd3
d)
don`t miss this!
55.
Find the volume of the solid shown in the figure?
a)
72
b)
66
c)
1130.4
d)
90
56.
The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?
a)
24,280 cubic feet
b)
16,430 cubic feet
c)
11,720 cubic feet
d)
4,480 cubic feet
57.
A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?
a)
1286 in3
b)
1455 in3
c)
1476 in3
d)
1569 in3
58.
When the radius is doubled, which of the following happens to the volume?
a)
The volume gets twice as big.
b)
The volume gets four times as big.
c)
The volume gets eight times as big.
d)
The volume stays the same.
59.
If r=10, what is the volume of the cylinder?
a)
π*10*10*10
b)
π*10*10*20
c)
(4π*10*10*10)/3
d)
π*20*20*10
60.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
61.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
62.
Two spheres have a scale factor ratio of 1:3. The smaller sphere has a surface area of 16 ft2. Find the surface area of the larger sphere.
a)
48 ft2
b)
144 ft2
c)
432 ft2
d)
32 ft2
63.
Pyramid X is similar to pyramid Y. The surface area of pyramid X is 135 cm2 and the surface area of pyramid Y s 240 cm2. If the volume of pyramid X is 189 cm3, then what is the volume of pyramid Y?
a)
448 cm3
b)
1061.9 cm3
c)
252 cm3
d)
336 cm3
64.
Two similar pyramids have heights of 4 inches and 7 inches. What is the ratio of the volume of the small pyramid to the volume of the large pyramid?
a)
4:7
b)
16:49
c)
64:343
d)
12:21
65.
a)
Not enough information
b)
324
c)
320
d)
45
66.
a)
18
b)
24
c)
124
d)
128
67.
a)
110
b)
29
c)
15
d)
120
68.
Calculate the volume of the cylinder. Use 3.14 to approximate π.
a)
250 cm³
b)
600 cm³
c)
785 cm³
69.
What is the formula for the volume of the given shape?
a)
V = 4/3 π r ² h
b)
V = ⅓ π r² h
70.
What is the volume of a cone with a radius of 3 cm and a height of 9 cm? Use 3.14 to approximate π. Round the nearest tenth.
a)
84.8 cm³
b)
91 cm³
c)
30.4 cm ³
71.
What is the formula for the volume of a sphere?
a)
V = 4/3 π r ³
b)
V = 4πr²
72.
What is the volume of a sphere with a radius of 3 m? Use 3.14 to approximate π.
a)
113 m³
b)
121 m³
c)
14 m³
73.
What is the formula for the volume of a triangular prism?
a)
V = (½bh)H
b)
V = b²hH
c)
V = b³
74.
Calculate the volume.
a)
90 cm³
b)
75 cm³
c)
180 cm³
75.
Calculate the height of a rectangular prism with a length of 5 cm, a width of 3 cm, and a volume of 30 cm³.
a)
2 cm
b)
450 cm²
c)
15 cm
d)
3 cm
76.
What shape will the horizontal cross-section of a sphere be?
a)
Dome
b)
Circle
c)
Ellipse
d)
Rectangle
77.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
78.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
79.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
80.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
81.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
82.
Describe the cross section.
a)
triangle
b)
rectangle
c)
trapezoid
d)
square
83.
Describe the cross section.
a)
rectangle
b)
square
c)
parallelogram
d)
circle
84.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
85.
Describe the cross section.
a)
circle
b)
oval
c)
semi-circle
d)
trapezoid
86.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
87.
What shape does this cross section make?
a)
circle
b)
Trapezoid
c)
Rectangle
d)
Parallelogram
88.
Describe the cross section.
a)
triangle
b)
rectangle
c)
oval
d)
trapezoid
89.
Describe the cross section.
a)
rectangle
b)
trapezoid
c)
oval
d)
parallelogram
90.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
91.
What shape will the angled cross-section of a rectangular pyramid be?
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square
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