PMI 5th Grade Math – Measurement & Data
Volume Unit
Classwork and Homework
Standard Measurement Conversions
Classwork
1.
2.
3.
4.
16 ft 3 in = ______ in
2.5 gal = ______ qts
800 lbs = ____ tons
Francis has 44 ounces of clay. Sara has 3 pounds of clay. Who has more, and how much more does
he/she have?
5. Alex is practicing his long jumps for the track team. His first jump was 2 yards, 1 foot. His second jump
was 3 yards, 9 inches. How much further was his second jump than his first jump?
6. Troy has 10 salt shakers that hold a volume of 1 fluid ounce each. He has a 1 cup container of salt.
Does he have enough salt to fill all of his salt shakers?
Homework
7. 1 yd 2 ft = ______ in
8. ¼ gal = ______ qt
9. 2 pt 1 c = ______ c
10. 80 feet of wire is needed for a circuit. A 32-yard roll of wire is to be used. How much wire will be left
over?
11. Miranda is recovering from surgery. Her doctor told her she could lift a maximum of 10 pounds. She
wants to carry a box that weighs 153 ounces. Will she be able to lift the box? Explain.
12. Blake needs to drink half a gallon of water per day. So far, he drank three 8 oz glasses of water. How
many more ounces does he need to drink?
Metric Measurement Conversions
Classwork
13.
14.
15.
16.
772 g = ______ kg
4 km 11 m = ______ m
7 L 55 mL = ______ mL
A cold medicine indicates that an infant should be given .0025 L. Sherri has a small medicine cup
labeled in milliliters. How many milliliters should she administer to her baby for the correct dosage?
17. A van is traveling 30 km per hour. If it drives twice as fast, how many meters will it travel in an hour?
18. Sandra is taking a 500 meter drive. She has already completed 0.064 km of her drive. How much
further does she have left to drive?
Homework
19. .00088 km = ______ mm
20. 3 mg 15 g = 3 mg ______ kg
21. 630 mL = ______ L
22. Thomas cooked rice for a party. He split the rice into two containers. In the first he put 1/4 kg rice. In
the second he put 5/4 kg of rice. How many grams of rice did Thomas cook?
23. Twenty 15 mL ketchup bottles need to be filled. The ketchup refill bottle contains 3 liters of ketchup. Is
there enough to refill all 15 bottles? Explain.
24. Each morning Paul hikes 400 meter. How many millimeters does he bike in one week?
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Unit Cube
Classwork
25. Unit cubes help us to measure (circle one)
a. Area
b. Perimeter
c. Volume
For question 26, choose the best unit of measure for the following volumes.
A. cubic millimeters B. cubic centimeters C. cubic inches D. cubic feet E. cubic meters F. cubic kilometers
26. a. the volume of a soccer ball: ___
b. the volume of a car: ___
c. the volume of a planet: ___
d. the volume of a room: ___
e. the volume of a small pot: ___
f. the volume of a shampoo bottle: ___
g. the volume of a textbook: ___
h. the volume of a cell phone: ___
27. A 3-D figure has 3 measurements that are called _____________, ________________, and
___________.
28. List 5 items in your classroom that would be considered a rectangular prism.
_______________ _________________ _____________ _______________ __________________
Homework
For question 29, choose the best unit of measure for the following volumes.
A. cubic millimeters B. cubic centimeters C. cubic inches D. cubic feet E. cubic meters F. cubic
kilometers
29. a. the volume of a laptop computer: ___
b. the volume of a toy car: ___
c. the volume of a glass drinking cup: ___
d. the volume of a pillow: ___
e. the volume of a dresser drawer: ____
f. the volume of an airplane: ____
g. the volume of a lunch box: ____
h. the volume of a garbage can: ___
30. In addition to having a length, width, and height, a 3-D figure also has a _____________ (located on
the bottom of the figure).
31. List 5 items in your home that can be considered a rectangular prism.
___________________ _________________ __________________ ________________
___________________
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Volume
Classwork
32. Complete the chart using different lengths, widths and heights for a rectangular prism.
Length (l)
Width (w)
Height (h)
Number of Cubes
3
2
5
33. Which set of dimensions has the same volume as the first combination for a rectangular prism?
Length (l)
Width (w)
Height (h)
4
4
2
a. 6
b. 2
c. 6
3
8
2
3
2
2
34. Which set of dimensions has the same volume as the first combination for a rectangular prism?
Length (l)
Width (w)
Height (h)
3
6
4
a. 6
b. 2
c. 18
5
8
2
4
4
2
35. Which set of dimensions has the same volume as the first combination for a rectangular prism?
Length (l)
Width (w)
Height (h)
10
6
4
a. 10
b. 24
c. 8
2
5
3
8
2
12
Homework
36. Complete the chart using different lengths, widths and heights for a rectangular prism.
Length (l)
Width (w)
Height (h)
Number of Cubes
4
5
3
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37. Which set of dimensions has the same volume as the first combination for a rectangular prism?
Length (l)
Width (w)
Height (h)
6
2
4
a. 3
b. 5
c. 8
4
9
4
4
1
2
38. Which set of dimensions has the same volume as the first combination for a rectangular prism?
Length (l)
Width (w)
Height (h)
8
4
2
a. 2
b. 8
d. 6
2
8
6
10
1
4
39. Which set of dimensions has the same volume as the first combination for a rectangular prism?
Length (l)
Width (w)
Height (h)
10
2
6
a. 20
b. 5
c. 8
4
4
5
5
6
4
Volume
Classwork
40. For the figure at the right:
a. What is the area of the base?
b. What is the volume?
41. For the figure at the right:
a. What is the area of the base?
b. What is the volume?
42. For the figure at the right:
a. What is the area of the base?
b. What is the volume?
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43. What is the volume of a rectangular prism with the following measurements?
a. w = 4, l = 4, h = 2.5
b. w = 6.5 cm, l = 2 cm, h = 1.5 cm
c. w = 3.5 m, l = 1.5 m, h = 4 m
d. w = 1.25 in, l = 4 in, h = 6 in
e. w = 10 yd, l = 50 yd, h = 10 yd
44. What is a possible combination of measurements for a rectangular prism which has a volume of 240
cubic cm?
45. What is a possible combination of measurements for a rectangular prism which has a volume of 420
cubic m?
46. What is a possible combination of measurements for a rectangular prism which has a volume of 540
cubic yd?
47. What is a possible combination of measurements for a rectangular prism which has a volume of 96
cubic mm?
Homework
48. For the figure at the right:
a. What is the area of the base?
b. What is the volume?
49. For the figure at the right:
a. What is the area of the base?
b. What is the volume?
50. For the figure at the right:
a. What is the area of the base?
b. What is the volume?
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51. What is the volume of the rectangular prism with the following measurements?
a. w = 2.25 cm, l = 4 cm, h = 5 cm
b. w = 3 ft, l = 2 ft, h = 10 ft
c. w= 7 m, l = 6 m, h = 5 m
d. w= 9 mi, l = 2.5 mi, h = 3 mi
e. w= 6.2, l = 3, h = 3
52. What is a possible combination of measurements for a rectangular prism with a volume of 36 cubic m?
53. What is a possible combination of measurements for a rectangular prism with a volume of 72 cubic c?
54. What is a possible combination of measurements for a rectangular prism with a volume of 144 cubic
mi?
55. What is a possible combination of measurements for a rectangular prism with a volume of 84 cubic cm?
Volume of Irregular Shapes
Classwork
56. What is the volume of the figure?
57. What is the volume of the figure?
58. What is the volume of the figure?
59. What is the volume of the figure?
Homework
60. What is the volume of the figure?
61. What is the volume of the figure?
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62. What is the volume of the figure?
63. What is the volume of the figure?
Volume – Missing Measurement
Classwork
Width
Height
5 cm
5 cm
6 in
65.
66.
2m
24 yd
12 yd
11 mi
12 mi
69.
2 mm
1.25 km
3 km
3m
71.
Homework
Width
72.
2m
12 cm
13 yd
76.
4 mi
78.
3.2 km
Height
6.5 cm
3m
10 cm
75.
6m
33 mi
1.5 ft
2 km
Length
5 cm
4 in
5m
67.
12 mi
4.5 mm
4 km
3m
Length
3 cm
73.
74.
2 yd
2.5 m
11 mi
3 ft
79.
Volume
64.
240 in3
200 m3
864 yd3
68.
81 mm
70.
117 mm3
Volume
78 cm
78 m3
480 cm3
130 yd3
150 m3
77.
45 ft3
640 km3
Volume – Word Problems
Classwork
80. Sarah is moving to a new apartment. Each of her boxes measures 30 in x 20 in x 15 in. What is the
total volume of one box?
81. Greg has a planter that he wants to fill with soil. It is 25 inches long, 5 inches deep and 5 inches high.
How much soil can he use?
82. Tara has a square bath tub in her house. It measures 24 in wide, 60 in long and 36 in deep. The sides
of the bath tub are 2 in thick. Assuming she can fill the water to the top, how much water can she use to
fill the bath tub?
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83. John’s room measures 12 ft by 11 ft by 10 ft. What is the volume of John’s room?
84. John’s brother, Jason, has a bigger room than John. His measures 13 ft by 11 ft by 10 ft. How much
bigger is Jason’s room than John’s?
85. The town pool measures 40 m long, 20 m wide and 3 m deep. What is the volume of the pool?
Homework
86. Mike is shipping a package. He has two boxes. One box’s measurements are 8 in by 3 in by 4 in. The
second box’s measurements are 9 in by 4 in by 2 in. Which box has the smaller volume?
87. The landscaper is paving a walkway in front of the school that measures 20 feet long, 3 feet wide and
half a foot deep. What is the volume of cement the landscaper will use?
88. Lisa is going to ship a statue to her friend. She is using a cube shaped box with a side length of 11 in.
She is going to put padding on all sides of the box. The padding is 1 in thick. What is the volume after
Lisa puts the padding in the box?
89. Mandy is going on vacation. She has two suitcases. The smaller suitcase measures 65 cm long, 35 cm
wide and 25 cm high. The second suitcase measures 85 cm long, 40 cm wide and 35 cm high. What is
the combined volume of the two suitcases?
90. The middle school is 400 feet wide, 200 feet long and 30 feet high. The high school is 500 feet wide,
200 feet long and 45 feet high. How much greater is the volume of the high school than the middle
school?
91. A ship carries containers that measure 10 m long, 3 m high and 2.5 m wide. What is the volume of 30
of these containers?
Unit Multiple Choice Questions– Choose the correct answer for each question. No partial credit will be given.
92. What is the volume of the figure?
a.
b.
c.
d.
10 units2
10 sq. units
10 units
10 cubic units
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93. What is the missing measure?
Length: ______ Width: 12 in Height: 72 in
a.
b.
c.
d.
Volume: 2,592 in3
3 in
300 units
2,000 in
2,808 units
94. A bathtub shaped like a rectangular prism has a length of 60 in, a width of 32 in and a height of 17 in.
How much water is needed to fill the aquarium?
a.
b.
c.
d.
109 cm3
19,200 cubic centimeters
32,640 cubic in
84,000 cm3
95. 9 qts = ______ gal
a.
b.
c.
d.
2..5
2.25
18
4.5
96. 2.5 mi = ______ yd
a. 10,560
b. 5,280
c. 4,400
d. 880
97. If you fill a 5 L container with 350 mL of liquid, how much room is left?
a. .465 L
b. 465 mL
c. 46.50 mL
d. 4.650 L
98. Fredrick lives 3 miles from his place of work. How many yards does he drive by commuting to and from
work 5 days a week?
a. 52,800 yds
b. 26,400 yds
c. 10,560 yds
d. 5,280 yds
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Unit Short Constructed Response – Write the correct answer for each question. No partial credit will be
given.
99. What is the volume of the figure?
____________
100. What is the volume of the figure?
____________
101. A box of cereal holds 240 in3 of cereal. If the height is 12 in and the width is 2.5 in, what must the
length be?
____________
102. When packaging the cereal in the 240 in3 box, there is some empty space left in the box. The actual
box measures 14 in high, 2.5 in wide and 8.25 in long. How much empty space was in the box?
____________
103. A box of tissues has a length of 10.4 cm, a width of 5.5 cm and a height of 4.2 cm. How many cubic
centimeters of tissues can the box hold?
____________
104.
_____ pt = 4.5 qt
105. ½ pt = ______ c
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106. .0083mL = ______ L
107. If you placed 8 in sticks end to end, how many pieces would it take to stretch 2 yds?
____________
Extended Constructed Response - Solve the problem, showing all work. Partial credit may be given.
108. A rectangular-shaped ice cream container has a length of 6 in, width of 3 in and a height of 4.5 in.
The container is full of ice cream.
a. How much ice cream is in the container?
b. Will there be enough to serve Johnny and each of his three friends 5 in3 of ice cream? Explain.
c. If there is enough, how much ice cream will be left over? If there is not enough, how many cubic
inches short is the container?
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PMI 5th Grade Math – Measurement & Data and Volume Unit
Homework and Classwork Answer Key
Classwork
1. 195
2. 10
3. 0.36
4. Sarah has 4 oz more than Francis.
5. 2 yds, 2 ft, 9 in
6. No. He will be 2 oz short.
Homework
7. 60
8. 1
9. 5
10. 16 ft
11. Yes. 10 lbs = 160 oz. So it is not too much
for her to lift.
12. 40 oz
Classwork
13. 0.772
14. 4011
15. 7055
16. 2.5 mL
17. 60,000 meters p/h
18. .436 km or 436 m
Homework
19. 880
20. 0.015
21. .63
22. 1 ½ kg = 1.5 kg = 1,500 g
23. Yes. It is exactly 300 mL, which is what is
needed to refill the bottles.
24. 2,800,000 mm
Classwork
25. c. volume
26. a. B b. D c. F d. D e. C. f. B g. B. h. B
27. length, width, height
28. answers will vary
Homework
29. a. B b. A c. B d. C e. C f. E g. C h. C
30. base
31. answers will vary
Classwork
32. answers will vary
33. b
34. c
35. b
Homework
36. answers will vary
37. a
38. b
39. b
Classwork
40. a. 40 in2 b. 240 in3
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41. a. 6 ft2 b. 54 ft3
42. a. 3 m2 b. 18m3
43. a. 40 units3 b. 19.5 cm3 c. 21 m3 d. 30 in3 e.
5000 yd3
44. any 3 factors that multiply to 240
45. any 3 factors that multiply to 420
46. any 3 factors that multiply to 540
47. any 3 factors that multiply to 96
Homework
48. a. 15 units2 b. 60 units3
49. a. 5 cm2 b. 10 cm3
50. a. 3 yd2 b. 15 yd3
51. a. 45 cm3 b. 60 ft3 c. 210 m3 d. 67.5 mi3 e.
55.8 units3
52. any 3 factors that multiply to 36
53. any 3 factors that multiply to 72
54. any 3 factors that multiply to 144
55. any 3 factors that multiply to 84
Classwork
56. 6 units3
57. 11 units3
58. 8 units3
59. 11 units3
Homework
60. 5 units3
61. 10 units3
62. 16 units3
63. 17 units3
Classwork
64. 125 cm3
65. 10 in
66. 20 m
67. 3 yd
68. 1584 mi3
69. 9 mm
70. 15 km
71. 13 m
Homework
72. 4 cm
73. 13 m
74. 4 cm
75. 5 yd
76. 10 m
77. 1452 mi3
78. 10 ft
79. 100 km
Classwork
80. 9000 in3
81. 625 in3
82. 36720 in3
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83. 1320 ft3
84. 110 ft3
85. 2400 m3
Homework
86. The second box
87. 30 ft3
88. 728 in3
89. 175875 cm3
90. 2100000 ft3
91. 2250 m3
Multiple Choice
92. a
93. a
94. c
95. b
96. c
97. d
98. a
Short Constructed Response
99. 12 u3
100. 14 u3
101. 8in
102. 48.75 in3
103. 240.24 cm3
104. 9
105. 1
106. 8.3
107. 9
Extended Constructed Response
108.
a. 81in3
b. No, there will not be enough
c. The container is 19 in3 short
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