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WorksheetsUnit 4: Volume
Total questions: 160
Worksheet time: 12hrs 1mins
2. What 2D shape would be stacked or translated through space to create a triangular prism?
3. What 2D shape would be stacked or translated through space to create a rectangular prism?
4. What 2D shape would be stacked or translated through space to create a cylinder?
5. What do you need to do with a circle to create a cone?
6. What do you need to do with a square to create a pyramid?
If a half of a triangle rotated, what would be the figure?
Cone
Cube
If a rectangle spun, what would be the shape?
(a)
If a semi-circle spun, what would be the shape?
(a)
Although you don't know yet, how would you describe a circle spinning?
A duonut shape!
A circle shape!
Although you don't know yet, what would be the shape of this object if its was a whole rectangle spinning away from the center?
A cylinder with a hole!
A complete cylinder!
If half a circle touching the center line has a hole in the center as well, what is the shape?
A sphere with a gap in the center.
A complete sphere!
Lets say a rectangle touching the center line has triangle on top, what best describes this shape?
A cylinder with a cone on top.
A cone with a cylinder on top.
Lets say that a rectangle is not straight up but going on its side to the right, what best describes this shape, dude?
Well, its a cone with a hole in the circle base.
Its a complete cone
Cross Section
Flat 2-D shape created by slicing through a 3-D shape.
Flat 3-D shape created by slicing through a 2-D shape.
Volume of Prisms & Cylinders
V = (Area of the Base)(Height)
Hint: You must determine what type of base you have use the APPROPRIATE formula for its area.
V = (Redo)(Redo)
Find the volume of the rectangular prism.
55 yd3
121 yd3
22 yd3
330 yd3
Find the volume of the solid shown in the figure. Round to the nearest whole number.
7230 m3
6621 m3
1131 m3
907 m3

Find the volume of the figure. Round to the nearest tenth.
80 cm3
56 cm3
20 cm3
40 cm3
Find the volume of the cylinder.
282.6 in3
516.2 in3
133 in3
214 in3
Find the volume of the prism.
154 cm3
308 cm3
140 cm3
168 cm3
Find the volume of the rectangular prism.
55 yd3
121 yd3
22 yd3
330 yd3
Find the volume of the solid shown in the figure. Round to the nearest whole number.
7230
6621
1131
907

What is the formula for the Volume of a cylinder?
πr2
Bh where B= area of the base 3.14 × r × r
2B + LA
πrl
What is the diameter?
15.84 in
10 in
3.14 in
Is the line inside the circle a radius or diameter?
Radius
Diameter
What is the formula used to find the volume of a rectangular prism?
V = bh
V = Bh
V = 2∏r
What is the formula for the area of a triangle?
A = bh
A = bh/2
A = 2bh
A = 3/2bh
What number do we use instead of pi?
3.25
3.14
2.14
2.5
What is the volume of a cylinder with a diameter of 10cm and a height of 5cm?
1570.8 cm3
98.2 cm3
392.7 cm3
196.3 cm3
What is the formula for Volume of a Cone?
V=π r3h
V=π r2h
V= 31 π r2 h
V= 34 π r3
Find the volume of the conical figure. Round to the nearest hundredth.
14.13 in3
56.55 in3
169.65 in3
113.10 in3
Find the volume of the figure.
150.8 cm³
48 cm³
452.4 cm³
339 cm³
1,767 ft3
7,068.5 ft3
589 ft3
2,356.2 ft3
A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth.
7,238.2 cm3
28,952.9 cm3
1,809.6 cm3
21,714.7 cm3
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
21 cubic inches
63 cubic inches
66 cubic inches
198 cubic inches
An ice cream cone that is 4 inches tall has a diameter that is 8 inches across. Find the volume of the cone.
201.06 inches3
67.02 inches3
268.08 inches3
50.27 inches3
length = 8 in
width = 8 in
height = 14 in
length = 4 m
width = 6 m
height = 9 m
length = 12 cm
width = 12 cm
height = 8 cm
length = 7 ft
width = 2 ft
height = 6 ft
length = 3 mm
width = 3 mm
height = 12 mm
length = 4.6 in
width = 5.2 in
height = 10 in
length = 12 ft
width = 12 ft
height = 7 ft
length = 8 m
width = 3 m
height = 11 m
Find the volume of the given sphere.
418.7 cubic ft
3,984.6 cubic ft
4,188.8 cubic ft
4,319.8 cubic ft
Find the volume of the given sphere.
3,817.9 cubic mm
2,506.2 cubic mm
2,000.8 cubic mm
2,144.7 cubic mm
Find the volume of the given sphere.
904.8 cubic yd
856.2 cubic yd
994.5 cubic yd
883.5 cubic yd
Find the volume of the given sphere.
1,563.5 cubic in.
1,325.5 cubic in.
1,129.9 cubic in.
1,819.6 cubic in.
Find the volume of the sphere.
904.32 ft3
7,234.56 ft3
150.72 ft3
A sphere has volume of 3256π units3 . What is the length of the DIAMETER? Hint: Determine the radius and use the relationship between radius and diameter to determine the diameter!
2 units
4 units
6 units
8 units
Find the volume to the nearest tenth.
5575.3 cm3
506.8 cm3
1774.7 cm3
1393.11 cm3
The radius of a basketball is 4.7 inches. What is the volume of the basketball?
400.6 cubic in.
398.8 cubic in.
434.9 cubic in.
500.3 cubic in.
What is the formula for a sphere.
V = πr2h
V= 31πr2
V = 34πr3
V = πr2
Kayla has two spherical gazing balls in her yard.
(see picture). Which statement about their volumes is true?
The volume of Ball 2 is twice the volume of Ball 1.
The volume of Ball 1 is 8 times the volume of Ball 2.
The volume of Ball 1 is twice the volume of Ball 2.
The volume of Ball 2 is 8 times the volume of Ball 1.
Find the radius of a sphere with a volume of 3,053.63 in3. Use
9 in.
6.2 in.
31.2 in.
18 in.
The volume of a sphere is 113.04 ft3 . Solve for the radius. Use
r=9 ft
r=3 ft
r=5.2 ft
r=12 ft
Which of the following has the greatest volume?
a cube with a side length of 5cm and a height of 5cm
a cone with a radius of 5cm and a height of 5cm
a rectangular prism with a length of 5cm, a width of 5cm and a height of 5cm
a sphere with a radius of 5cm
A table tennis (ping-pong) ball has a volume of 33,510.3 cubic millimeters. What is the approximate length of the diameter of the table tennis ball? Use the π button.
49.4 mm
24.7 mm
40 mm
20 mm
A sphere has volume of 288π cm3 . What is the radius? Write an equation and solve, show your work on a sheet of paper!
6 cm
2 cm
3 cm
12 cm
A sphere has volume of 27π cm3 . What is the radius? Write an equation and solve, show your work on a sheet of paper!
6 cm
2 cm
3 cm
12 cm
A sand box has a base with an area of 62 square feet. If the height of the sand box is 3 feet and it has a width of 5 feet, what is the volume of the box?
930 ft2
930 ft3
186 ft2
186 ft3
A juice box measures 4 cm long, 10 cm high, and 5 cm wide. What is the volume of the juice box?
200 cm3
40 cm3
50 cm3
19 cm3
A garden box has a base with an area of 48 sq cm. The height of the garden box is 6 cm. What is the volume of the garden box?
300 cm3
54 cm3
8 cm3
288 cm3
Kyle has a box that is 5 inches wide, 7 inches long, and a volume of 210 cubic inches. What is the height of the box?
2 in
198 in3
7,350 in3
6 in
A suitcase has a dimension of 4 x 6 x 7 feet. If the clothing that goes inside of it has a total volume of 160 cubic feet, will there be enough room to fit all of the clothing?
Yes, there will be 8 cubic feet left
Yes, there will be 168 cubic feet left
No, there will not be enough room in the suitcase
Yes, the clothing is the same volume as the suitcase
Find the volume of rectangular prism with a length of 5 units, a width of 5 units, and height of 10 units.
20 cubic units
100 cubic units
40 cubic units
250 cubic units
You want to figure out how cherry coke is inside a can of Coca-Cola. The radius is 2 inches and the 3-D height is 6 inches. How much cherry coke fits inside the can?
68.6 cubic inches
75.4 cubic inches
83.8 cubic inches
94.7 cubic inches
We want to fill up the cylinder pictured with water. Estimate how many inches cubed of water will fit inside it?
78500 inches cubed
80000 inches cubed
84500 inches cubed
89000 inches cubed
A scoop of ice cream, shaped like a sphere with diameter 6 cm, is placed in an ice cream cone with diameter 5 cm and height 10 cm. Is the cone big enough to hold all the ice cream if it melts?
YES
NO
Maybe
So
Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true? Hint: Find the volume of both! Then compare!!
The volume of Ball 2 is twice the volume of Ball 1.
The volume of Ball 1 is 8 times the volume of Ball 2.
The volume of Ball 1 is twice the volume of Ball 2.
The volume of Ball 2 is 8 times the volume of Ball 1.
A cylindrical silo that stores grain has a diameter of 16 feet and is 40 feet tall. Find the volume of the silo to the nearest tenth.
A can of chili has a radius of 5.25 cm and a height of 13 cm. Find the volume to the nearest tenth, if necessary.
What does π equal? (Note: The answer is a shortened version of pi).
3.14
3
6.28
2
An ice cream package is cone shaped. It has a radius of 5.5 cm and a height of 17 cm. Find the volume of the ice cream cone to the nearest tenth.
That ice cream cone looked so good. You go to Benson's Dairy Bar for ice cream. What are you most likely to order out of the options below?
A hot fudge sundae
Twist with sprinkles
Peanut Butter Cup Flurry
Blue Goo
I don't like ice cream.
Hooray! We finished our Volume unit! You all did awesome! Next up is a mini-unit on perfect squares and square roots. If there are any suggestions for how I can better help you learn from home, let me know!
You want to figure out how cherry coke is inside a can of Coca-Cola. The radius is 2 inches and the 3-D height is 6 inches. How much cherry coke fits inside the can?
68.6 cubic inches
75.4 cubic inches
83.8 cubic inches
94.7 cubic inches
We want to fill up the cylinder pictured with water. Estimate how many inches cubed of water will fit inside it?
78500 inches cubed
80000 inches cubed
84500 inches cubed
89000 inches cubed
Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true? Hint: Find the volume of both! Then compare!!
The volume of Ball 2 is twice the volume of Ball 1.
The volume of Ball 1 is 8 times the volume of Ball 2.
The volume of Ball 1 is twice the volume of Ball 2.
The volume of Ball 2 is 8 times the volume of Ball 1.
An ice cream package is cone shaped. It has a radius of 5.5 cm and a height of 17 cm. Find the volume of the ice cream cone to the nearest tenth.
A scoop of ice cream, shaped like a sphere with diameter 6 cm, is placed in an ice cream cone with diameter 5 cm and height 10 cm. Is the cone big enough to hold all the ice cream if it melts?
YES
NO
Maybe
So
A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?
534 ft3
1,335 ft3
691 ft.3
1696 ft3
A cylinder and its dimensions are as follows: diameter of 5 inches and height of h inches. Which equation can be used to find V, the volume of the cylinder in cubic inches?
V = 3.14 (2.5h)2
V = 3.14 (5h)2
V = 3.14(2.5)2h
V = 3.14(5)2h
A sphere has a volume of approximately 113 cubic inches. Which of the following best represents the radius of the sphere?
4 units
2 units
3 units
5 units
length = 16 m
height = 10 m
width = 11 m
Find the surface area of the triangular prism.
356 in2
348 in2
336 in2
340 in2
Find the total surface area of the figure shown.
672 cm2
480 cm2
576 cm2
864 cm2
100 mm2
132mm2
114 mm2
120 mm2
400 mm2
416 mm2
424 mm2
396 mm2
184 mm2
186 mm2
172 mm2
196 mm2
178 mm2
160 mm2
188 mm2
168 mm2
