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PMI 5th Grade Math – Measurement & DataVolume UnitClasswork and HomeworkStandard Measurement ConversionsClasswork 16 ft 3 in = ______ in2.5 gal = ______ qts800 lbs = ____ tonsFrancis has 44 ounces of clay. Sara has 3 pounds of clay. Who has more, and how much more does he/she have?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?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 1 yd 2 ft = ______ in ? gal = ______ qt2 pt 1 c = ______ c 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? 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. 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 ConversionsClasswork 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?A van is traveling 30 km per hour. If it drives twice as fast, how many meters will it travel in an hour?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 .00088 km = ______ mm 3 mg 15 g = 3 mg ______ kg 630 mL = ______ L 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?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.Each morning Paul hikes 400 meter. How many millimeters does he bike in one week?Unit CubeClasswork Unit cubes help us to measure (circle one) AreaPerimeter VolumeFor question 26, choose the best unit of measure for the following volumes.cubic millimeters B. cubic centimeters C. cubic inches D. cubic feet E. cubic meters F. cubic kilometersa. 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: ___A 3-D figure has 3 measurements that are called _____________, ________________, and ___________.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.cubic millimeters B. cubic centimeters C. cubic inches D. cubic feet E. cubic meters F. cubic kilometersa. 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: ___In addition to having a length, width, and height, a 3-D figure also has a _____________ (located on the bottom of the figure).List 5 items in your home that can be considered a rectangular prism.___________________ _________________ __________________ ________________ ___________________VolumeClassworkComplete the chart using different lengths, widths and heights for a rectangular prism.Length (l)Width (w) Height (h)Number of Cubes325Which set of dimensions has the same volume as the first combination for a rectangular prism?Length (l)Width (w) Height (h)442633282622Which set of dimensions has the same volume as the first combination for a rectangular prism?Length (l)Width (w) Height (h)3646542841822Which set of dimensions has the same volume as the first combination for a rectangular prism?Length (l)Width (w) Height (h)1064102824528312HomeworkComplete the chart using different lengths, widths and heights for a rectangular prism.Length (l)Width (w) Height (h)Number of Cubes453Which set of dimensions has the same volume as the first combination for a rectangular prism?Length (l)Width (w) Height (h)624344591842Which set of dimensions has the same volume as the first combination for a rectangular prism?Length (l)Width (w) Height (h)8422210881664Which set of dimensions has the same volume as the first combination for a rectangular prism?Length (l)Width (w) Height (h)10262045546854VolumeClassworkFor the figure at the right: What is the area of the base?What is the volume?For the figure at the right:What is the area of the base?What is the volume?For the figure at the right:What is the area of the base?What is the volume? What is the volume of a rectangular prism with the following measurements?w = 4, l = 4, h = 2.5w = 6.5 cm, l = 2 cm, h = 1.5 cmw = 3.5 m, l = 1.5 m, h = 4 mw = 1.25 in, l = 4 in, h = 6 inw = 10 yd, l = 50 yd, h = 10 ydWhat is a possible combination of measurements for a rectangular prism which has a volume of 240 cubic cm?What is a possible combination of measurements for a rectangular prism which has a volume of 420 cubic m?What is a possible combination of measurements for a rectangular prism which has a volume of 540 cubic yd?What is a possible combination of measurements for a rectangular prism which has a volume of 96 cubic mm?HomeworkFor the figure at the right:What is the area of the base?What is the volume? For the figure at the right:What is the area of the base?What is the volume? For the figure at the right:What is the area of the base?What is the volume? What is the volume of the rectangular prism with the following measurements?w = 2.25 cm, l = 4 cm, h = 5 cmw = 3 ft, l = 2 ft, h = 10 ftw= 7 m, l = 6 m, h = 5 mw= 9 mi, l = 2.5 mi, h = 3 miw= 6.2, l = 3, h = 3What is a possible combination of measurements for a rectangular prism with a volume of 36 cubic m?What is a possible combination of measurements for a rectangular prism with a volume of 72 cubic c?What is a possible combination of measurements for a rectangular prism with a volume of 144 cubic mi?What is a possible combination of measurements for a rectangular prism with a volume of 84 cubic cm?Volume of Irregular ShapesClassworkWhat is the volume of the figure? What is the volume of the figure? What is the volume of the figure? What is the volume of the figure?HomeworkWhat is the volume of the figure? What is the volume of the figure? What is the volume of the figure? What is the volume of the figure? Volume – Missing MeasurementClassworkWidthHeightLengthVolume5 cm5 cm5 cm6 in4 in240 in32 m5 m200 m324 yd12 yd864 yd311 mi12 mi12 mi2 mm4.5 mm81 mm1.25 km3 km4 km3 m3 m117 mm3HomeworkWidthHeightLengthVolume6.5 cm3 cm78 cm2 m3 m78 m312 cm10 cm480 cm313 yd2 yd130 yd36 m2.5 m150 m34 mi33 mi11 mi1.5 ft3 ft45 ft33.2 km2 km640 km3Volume – Word ProblemsClassworkSarah 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?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?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?John’s room measures 12 ft by 11 ft by 10 ft. What is the volume of John’s room?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?The town pool measures 40 m long, 20 m wide and 3 m deep. What is the volume of the pool?HomeworkMike 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?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?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?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?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?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.What is the volume of the figure?10 units210 sq. units10 units10 cubic unitsWhat is the missing measure?Length: ______ Width: 12 in Height: 72 in Volume: 2,592 in33 in300 units2,000 in2,808 unitsA 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?109 cm319,200 cubic centimeters32,640 cubic in84,000 cm39 qts = ______ gal2..52.25184.52.5 mi = ______ yd10,5605,2804,400880If you fill a 5 L container with 350 mL of liquid, how much room is left?.465 L465 mL46.50 mL4.650 LFredrick lives 3 miles from his place of work. How many yards does he drive by commuting to and from work 5 days a week?52,800 yds26,400 yds10,560 yds5,280 ydsUnit Short Constructed Response – Write the correct answer for each question. No partial credit will be given.What is the volume of the figure? ____________What is the volume of the figure? ____________ 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?____________ 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?____________ 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?____________ _____ pt = 4.5 qt ? pt = ______ c .0083mL = ______ L 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. 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.How much ice cream is in the container?Will there be enough to serve Johnny and each of his three friends 5 in3 of ice cream? Explain.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?PMI 5th Grade Math – Measurement & Data and Volume UnitHomework and Classwork Answer KeyClasswork195100.36Sarah has 4 oz more than Francis.2 yds, 2 ft, 9 inNo. He will be 2 oz short.Homework 60 15 16 ft Yes. 10 lbs = 160 oz. So it is not too much for her to lift.40 ozClasswork0.772 4011 7055 2.5 mL 60,000 meters p/h.436 km or 436 mHomework 880 0.015 .63 1 ? kg = 1.5 kg = 1,500 g Yes. It is exactly 300 mL, which is what is needed to refill the bottles.2,800,000 mmClassworkc. volumea. B b. D c. F d. D e. C. f. B g. B. h. Blength, width, heightanswers will varyHomework a. B b. A c. B d. C e. C f. E g. C h. Cbaseanswers will varyClassworkanswers will varybcbHomeworkanswers will varyabbClassworka. 40 in2 b. 240 in3a. 6 ft2 b. 54 ft3a. 3 m2 b. 18m3a. 40 units3 b. 19.5 cm3 c. 21 m3 d. 30 in3 e. 5000 yd3any 3 factors that multiply to 240any 3 factors that multiply to 420any 3 factors that multiply to 540any 3 factors that multiply to 96Homeworka. 15 units2 b. 60 units3a. 5 cm2 b. 10 cm3a. 3 yd2 b. 15 yd3a. 45 cm3 b. 60 ft3 c. 210 m3 d. 67.5 mi3 e. 55.8 units3any 3 factors that multiply to 36any 3 factors that multiply to 72any 3 factors that multiply to 144any 3 factors that multiply to 84Classwork6 units311 units38 units311 units3Homework5 units310 units316 units317 units3Classwork125 cm310 in20 m3 yd1584 mi39 mm15 km13 mHomework4 cm13 m4 cm5 yd10 m1452 mi3 10 ft100 kmClasswork9000 in3625 in336720 in31320 ft3110 ft32400 m3HomeworkThe second box30 ft3728 in3175875 cm32100000 ft32250 m3Multiple ChoiceaacbcdaShort Constructed Response12 u314 u38in48.75 in3240.24 cm3918.39Extended Constructed Response 81in3No, there will not be enoughThe container is 19 in3 short ................
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