Slide 1 / 115 Slide 2 / 115 5th Grade Measurement & Data 2015-11-23 www.njctl.org Slide 3 / 115 Table of Contents Standard Measurement Conversions Metric Measurement Conversions Unit Cubes Volume of a Solid with Unit Cubes click on the topic to go to that section Slide 4 / 115 Standard Measurement Conversions Volume Problem Solving Return to Table of Contents Slide 5 / 115 Slide 6 / 115 Conversion Chart Students will need access to a conversion chart for the next two sections.
Slide 7 / 115 Standard Measurement Standard Measurement System (US Customary) Converting From One Unit of Measurement to Another Slide 8 / 115 Cups and Pints There are 2 cups in every pint. What happens if you are given a measurement in one unit, but need to use it in another? + = 1 cup 1 cup 1 pint For example, you are baking cupcakes, and the recipe calls for 4 cups of oil. The bottle of oil says that it contains 3 pints. How do you know if you have enough oil? In order to find out, you would need to do something called converting. You need to convert the unit of cups to the unit of pints. Slide 9 / 115 Cups and Pints So how many cups are there in 3 pints? + = 1 cup 1 cup 1 pint Slide 10 / 115 Converting Measurement When converting measurements, use your arms to help you. We can spread our arms out wide to show that something is bigger. We can fold our arms in a hug to show that something is smaller. + = 1 cup 1 cup 1 pint + = 1 cup 1 cup 1 pint 3 pints To convert a smaller unit to a larger unit, we divide the amount. To convert a larger unit to a smaller unit, we multiply the amount. 2 cups x 3 pints = 6 cups in 3 pints Slide 11 / 115 Conversions Troy has 6 popsicles that are 5 in long each. If he places them all in a line, how many feet would they be? Another example: Slide 12 / 115 Conversions I bought a set of 4 glasses from the market. A glass weighs 8 ounces. How many pounds does the set weigh? 5 in + 5 in + 5 in + 5 in + 5 in + 5 in = 30 in How many feet are 30 in? We are going from inches to feet, so we are converting a smaller unit to a larger unit. Therefore, we need to. 30 in X or = ft in (# of inches in a foot) Find the total ounces: oz x glasses = oz. We are going from ounces to pounds so we are converting a smaller unit to a larger unit. Therefore, we need to. 32 oz X or = (# of oz in a lb) lbs
Slide 13 / 115 Fractional Measurements Slide 14 / 115 Standard Conversions Match-Up How can we write measurements using fractions? Think about what half a foot is in inches. If a foot is 12 in, then 1/2 a foot 12 2. So, half a foot is 6 in. How many inches is a foot and a half? A foot and a half is 12 x 1.5. So, a foot and a half is 18 in. How many feet are there in 30 inches? 30 12 = 2.5 So, there are 2 1/2 feet in 30 inches. 1 12 yards = ft Slide 15 / 115 1 12 yards = ft Slide 15 () / 115 3 ft Slide 16 / 115 Slide 16 () / 115 2 95 ft = yds 2 95 ft = yds 31 yds 2 ft
3 18 cups = pints Slide 17 / 115 3 18 cups = pints Slide 17 () / 115 9 pints Slide 18 / 115 Slide 18 () / 115 4 6 gal = pts 4 6 gal = pts 48 pts 5 1.5 tons = lbs Slide 19 / 115 5 1.5 tons = lbs Slide 19 () / 115 3000 lbs
Slide 20 / 115 6 This morning, Tom ran 1.5 miles. How many feet did Tom run? Slide 20 () / 115 6 This morning, Tom ran 1.5 miles. How many feet did Tom run? 7920 ft Slide 21 / 115 7 If Tom ran 1.5 miles, how many inches did he run? Slide 21 () / 115 7 If Tom ran 1.5 miles, how many inches did he run? 95,040 in Slide 22 / 115 8 Marie is buying yarn to make a blanket. The yarn comes in 4 feet rolls. She needs 8 yards of yarn. How many rolls should she buy? Slide 22 () / 115 8 Marie is buying yarn to make a blanket. The yarn comes in 4 feet rolls. She needs 8 yards of yarn. How many rolls should she buy? 6 rolls
Slide 23 / 115 9 Approximately how many 100-yd football fields are there in a mile? Slide 23 () / 115 9 Approximately how many 100-yd football fields are there in a mile? A 5,280 A 5,280 B 1760 C 17.6 B 1760 C 17.6 C Slide 24 / 115 10 At the zoo, we saw bears eating honey from two jars. Each jar contains one cup of honey. One bear ate 1/2 of the honey in the first jar. Another bear ate only 1/4 of the honey from his jar. How many fluid ounces of honey did the bears eat? Slide 24 () / 115 10 At the zoo, we saw bears eating honey from two jars. Each jar contains one cup of honey. One bear ate 1/2 of the honey in the first jar. Another bear ate only 1/4 of the honey from his jar. How many fluid ounces of honey did the bears eat? 6 oz Slide 25 / 115 11 Tom has a water tank that holds 5 gallons of water. Part A Tom uses water from a full tank to full 6 boggles that each hold 16 ounces and a pitcher that holds 1/2 gallon. How many ounces of water are left in the water tank? Slide 25 () / 115 11 Tom has a water tank that holds 5 gallons of water. Part A Tom uses water from a full tank to full 6 boggles that each hold 16 ounces and a pitcher that holds 1/2 gallon. How many ounces of water are left in the water tank? 480 ounces From PARCC EOY sample test #5 From PARCC EOY sample test #5
Slide 26 / 115 12 Tom has a water tank that holds 5 gallons of water. Part B Tom drinks 4 pints of water a day. How many full tanks of water will he drink in 30 days? Slide 26 () / 115 12 Tom has a water tank that holds 5 gallons of water. Part B Tom drinks 4 pints of water a day. How many full tanks of water will he drink in 30 days? 3 From PARCC EOY sample test #5 Slide 27 / 115 From PARCC EOY sample test #5 Slide 28 / 115 Metric Measurement Conversions Return to Table of Contents Slide 29 / 115 Comparing Units of Metric Measure 1. Work with a partner. Measure the length in cm of ten Base 10 logs placed end to end. Slide 29 () / 115 Comparing Units of Metric Measure 1. Work with a partner. Measure the length in cm of ten Base 10 logs placed end to end. 2. Record the length in a table. (see table on next page.) 3. Measure the length a second time in mm. Record your measure in the table. 4. Measure the length a third time using the meter ruler. Record your measure in the table. Teacher Notes Materials for each group: Ten base 10 logs Ruler with cm and mm 2. Record the length in a table. (see table on next page.) measures 3. Measure the length a second meter time ruler in mm. Record your measure in the table. 4. Measure the length a third time using the meter ruler. Record your measure in the table.
Slide 30 / 115 Comparing Units of Metric Measure Slide 31 / 115 Comparing Units of Metric Measure Number of Base 10 Logs 10 m cm mm Number of Base 10 Logs 10 Describe any patterns you see. m cm mm Slide 32 / 115 Comparing Units of Metric Measure Fill in the blanks to describe the relationships that you find among the three metric units. Slide 33 / 115 To convert measurements within the metric system, we multiply or divide by multiples of 10. To convert m to cm by. To convert cm to m by. To convert cm to mm by. To convert mm to cm by. To convert m to mm by. To convert mm to m by. Slide 34 / 115 Comparing Units of Metric Measure To step down, or convert to a smaller unit, you. To step up, or convert to a larger unit, you. Slide 35 / 115 Comparing Units of Metric Measure Think about this: A gram is a base unit. To convert a gram to a milligram, hop down steps. or by. (multiply/divide) A paperclip weighs one gram. So, imagine what could weigh one milligram.
Slide 36 / 115 Metric Conversion Match-Up 13.08 ml = L Slide 37 / 115 Slide 37 () / 115 Slide 38 / 115 13.08 ml = L 14 1,235,000 mm = km 80 L 14 1,235,000 mm = km Slide 38 () / 115 15.053 kg = mg Slide 39 / 115 1,235 km
15.053 kg = mg Slide 39 () / 115 Slide 40 / 115 16 Each morning Paul rides 500 m on an exercise bike. How many kilometers does he ride in one week? 53,000 mg Slide 40 () / 115 16 Each morning Paul rides 500 m on an exercise bike. How many kilometers does he ride in one week? Slide 41 / 115 17 A kitten weighs 500 g. A puppy weighs 2 kg. Freddy says that the puppy weighs more. Is Freddy correct? 3.5 km Yes No Slide 41 () / 115 17 A kitten weighs 500 g. A puppy weighs 2 kg. Freddy says that the puppy weighs more. Is Freddy correct? Slide 42 / 115 18 I make 2.5 kg of popcorn, and I eat 450 g of it while watching a movie. How much popcorn is left? Yes No Yes
Slide 42 () / 115 18 I make 2.5 kg of popcorn, and I eat 450 g of it while watching a movie. How much popcorn is left? Slide 43 / 115 19 How many 200 ml paper cups can be filled from a 2 liter jug of lemonade? 2.05 kg Slide 43 () / 115 19 How many 200 ml paper cups can be filled from a 2 liter jug of lemonade? Slide 44 / 115 20 Rose needs 5 meters of fabric. The length of a fabric roll is 1,000 mm, and it costs $30. What is the total cost of the fabric that Rose needs too buy? 10 A $150 B $1.50 C $5 D $5,000 Slide 44 () / 115 20 Rose needs 5 meters of fabric. The length of a fabric roll is 1,000 mm, and it costs $30. What is the total cost of the fabric that Rose needs too buy? Slide 45 / 115 21 Rose also needs 6 meters of rope. The length of a roll of rope is 380 mm. How many rolls does Rose need to buy? A $150 B $1.50 C $5 D $5,000 A
Slide 45 () / 115 21 Rose also needs 6 meters of rope. The length of a roll of rope is 380 mm. How many rolls does Rose need to buy? 22 7 km 20 m = m Slide 46 / 115 16 22 7 km 20 m = m Slide 46 () / 115 Slide 47 / 115 23 Complete each conversion by dragging and dropping the correct number into each box. 7020 m 7 mm = cm 7 cm = m m = 7 mk From PARCC EOY sample test #28 Slide 47 () / 115 Slide 48 / 115 23 Complete each conversion by dragging and dropping the correct number into each box. 7 mm = cm 7 cm = m Unit Cubes m = 7 mk Return to Table of Contents From PARCC EOY sample test #28
Slide 49 / 115 Unit Cubes Unit Cubes help us to measure volumes. Slide 49 () / 115 Unit Cubes Unit Cubes help us to measure volumes. There are: cubic centimeters cubic inches cubic feet Teacher Notes Have inch There cubes are: and centimeter cubes available cubic centimeters for students to compare. cubic Model inches what a cubic foot cubic would feet look like. Slide 50 / 115 Slide 50 () / 115 24 What would be the best unit to measure the volume of a cereal box? A cubic feet B cubic meters C cubic centimeters D cubic miles 24 What would be the best unit to measure the volume of a cereal box? A cubic feet B cubic meters C cubic centimeters D cubic miles C Slide 51 / 115 Slide 51 () / 115 25 What would be the best unit to measure the volume of a classroom? A cubic miles B cubic centimeters C cubic inches D cubic meters 25 What would be the best unit to measure the volume of a classroom? A cubic miles B cubic centimeters C cubic inches D cubic meters D
Slide 52 / 115 Slide 52 () / 115 26 What would be the best unit to measure the volume of a desk drawer? A cubic yards B cubic inches C cubic meters D cubic millimeters 26 What would be the best unit to measure the volume of a desk drawer? A cubic yards B cubic inches C cubic meters D cubic millimeters B Slide 53 / 115 Slide 53 () / 115 27 What would be the best unit to measure the volume of a soccer ball? A cubic millimeters B cubic centimeters C cubic meters D cubic kilometers 27 What would be the best unit to measure the volume of a soccer ball? A cubic millimeters B cubic centimeters C cubic meters D cubic kilometers B Slide 54 / 115 Slide 55 / 115 Volume of a Solid with Unit Cubes Volume of a Solid with Unit Cubes Blocks Problem Morgan is helping his younger sister put away her alphabet blocks in a box. She has already put away one layer of blocks. It takes 15 blocks to make one layer. If the box is filled with 4 layers of blocks, without any gaps, how many blocks will be in the box? Return to Table of Contents Steps: -Use unit cubes to model a layer that is 3 by 5 blocks. -Make 4 layers. -How many total blocks did you use to make the model?
Slide 56 / 115 Volume of a Solid with Unit Cubes Slide 57 / 115 Volume of a Solid with Unit Cubes The total number of blocks used is the volume of the box. This box is called a 3 Dimensional Figure (3-D). A 3-D figure has a length, width and a height. base The 3-D shape also has a base. height width length Slide 58 / 115 Volume of a Solid with Unit Cubes All of these 3-D shapes are right rectangular prisms. Slide 59 / 115 Volume of a Solid with Unit Cubes List some 3-D shapes that are right rectangular prisms in the classroom: Slide 60 / 115 Slide 60 () / 115 28 Is this shape a right rectangular prism? 28 Is this shape a right rectangular prism? Yes No Yes No Yes
Slide 61 / 115 Slide 61 () / 115 29 Is this shape a right rectangular prism? 29 Is this shape a right rectangular prism? Yes No Yes No No Slide 62 / 115 Slide 62 () / 115 30 Is this shape a right rectangular prism? Yes No 30 Is this shape a right rectangular prism? Yes No Yes Slide 63 / 115 Slide 63 () / 115 31 Which of the following would not be used to describe a right rectangular prism? 31 Which of the following would not be used to describe a right rectangular prism? A length B height C perimeter D width A length B height C perimeter D width C
Volume Slide 64 / 115 Volume of a Solid with Unit Cubes - The amount of space occupied by or inside a 3-D Figure - The number of cubic units needed to FILL a 3-D Figure (layering) Slide 65 / 115 Volume of a Solid with Unit Cubes Use unit cubes to build a model of the prism shown. length (l) width (w) height (h) number of cubes 3 2 5 30 Label - Units 3 or cubic units Now use unit cubes to build 4 other rectangular prisms. Fill in the length, width, height and number of cubes in the table. Slide 66 / 115 Slide 67 / 115 32 Model the rectangular prism described in the table. 33 Model the rectangular prism described in the table. What is its volume? What is its volume? length (l) width (w) height (h) number of cubes 2 1 4? length (l) width (w) height (h) number of cubes 6 2 3? cubic units cubic units Slide 68 / 115 Slide 69 / 115 34 Model the rectangular prism described in the table. 35 Model the rectangular prism described in the table. What is its volume? What is its volume? length (l) width (w) height (h) number of cubes 4 3 2? length (l) width (w) height (h) number of cubes 6 3 2? cubic units cubic units
Slide 70 / 115 36 Model the rectangular prism described in the table. What is its volume? length (l) width (w) height (h) number of cubes 4 2 3? Slide 71 / 115 Volume of a Solid with Unit Cubes Work with a partner, and build as many possible right rectangular prisms that you can with 24 cubes. Record the dimensions in the table below. length width height cubic units Slide 72 / 115 Slide 73 / 115 37 Which set of dimensions has the same volume as the first row? 38 Which set of dimensions has the same volume as the first row? A B length (l) width (w) height (h) number of cubes 4 2 3? 4 1 3 2 4 3 A B length (l) width (w) height (h) number of cubes 6 4 2? 2 9 1 2 5 6 C 3 3 3 C 2 4 6 Slide 74 / 115 Slide 75 / 115 39 Which set of dimensions has the same volume as the first row? A B C length (l) width (w) height (h) number of cubes 7 1 2? 8 1 1 2 7 1 6 2 2 Volume of a Solid with Unit Cubes So far we have found the volume of right rectangular prisms by counting unit cubes. We can also find the area by thinking of layering unit cubes. Think of the base as the bottom layer.
Slide 76 / 115 Slide 76 () / 115 40 The number of unit cubes that it takes to cover the base is also the of the base. 40 The number of unit cubes that it takes to cover the base is also the of the base. A perimeter B volume C area D cubic units A perimeter B volume C area D cubic units C If you know the area of the base, Slide 77 / 115 Volume of a Solid with Unit Cubes Slide 78 / 115 41 What is the area of the base of this rectangular prism? l = 5 units w = 2 units area = lw = 5(2) = 10 h = 4 in. and that it is 2 layers high, h = 2 units l = 8 in. w = 3 in. then... volume = area of the base times height = B x h = 10(2) = 20 cubic units square inches Slide 78 () / 115 Slide 79 / 115 41 What is the area of the base of this rectangular prism? 42 What is the volume of this rectangular prism? l = 8 in. h = 4 in. w = 3 in. 24 square inches l = 8 in. h = 4 in. w = 3 in. square inches cubic inches
Slide 79 () / 115 Slide 80 / 115 42 What is the volume of this rectangular prism? 43 What is the area of the base of this rectangular prism? h = 4 in. 96 cubic inches h = 50 ft. l = 8 in. w = 3 in. w = 20 ft. l = 30 ft. cubic inches square feet Slide 80 () / 115 Slide 81 / 115 43 What is the area of the base of this rectangular prism? 44 What is the volume of this rectangular prism? h = 50 ft. 600 square feet h = 50 ft. w = 20 ft. l = 30 ft. w = 20 ft. l = 30 ft. square feet cubic feet Slide 81 () / 115 Slide 82 / 115 44 What is the volume of this rectangular prism? 45 What is the area of the base of this rectangular prism (cube)? w = 20 ft. l = 30 ft. h = 50 ft. 30,000 cubic feet w = 5 cm. h = 5 cm. l = 5 cm. cubic feet square centimeters
Slide 82 () / 115 Slide 83 / 115 45 What is the area of the base of this rectangular prism (cube)? 46 What is the volume of this rectangular prism (cube)? 25 square centimeters h = 5 cm. h = 5 cm. w = 5 cm. l = 5 cm. w = 5 cm. l = 5 cm. square centimeters cubic centimeters Slide 83 () / 115 46 What is the volume of this rectangular prism (cube)? Slide 84 / 115 Volume of a Solid with Unit Cubes To find the volume of a right rectangular prism - the length, width and height can all be multiplied together. w = 5 cm. h = 5 cm. l = 5 cm. 125 cubic centimeters cubic centimeters w = 4 inches l = 7 inches V = l x w x h V = (7 inches) x (4 inches) x (3 inches) V = 84 (inches) x (inches) x (inches) V = 83 in 3 h = 3 inches Slide 85 / 115 Slide 86 / 115 Formula 1 Volume Formulas V= lwh; where l = length, w = width, h = height Multiply the length, width and height of the rectangular prism. Formula 2 Volume of a Solid with Unit Cubes V=Bh; where B = area of base, h = height Find the area of the rectangular prism's base and multiply it by the height. Click for source. Volume of a Solid with Unit Cubes (3 x 2) represents the 1st layer 5 layers high Three ways to solve: (3 x 2) x 5 = 30 units 3 (3 x 2) + (3 x 2) + (3 x 2) + (3 x 2) + (3 x 2) = 30 units 3 6 + 6 + 6 + 6 + 6 = 30 units 3
Slide 87 / 115 Slide 87 () / 115 47 Find the volume. cm 3 47 Find the volume. cm 3 8 cm Volume: 2 x5 10 (Area of Base) x8 (Height) 8 cm 80 m 3 Volume: V= B x h V= l x w x h V= 5 x 2 x 8 V= 10 x 8 2 cm 5 cm 2 cm V= 80 m 3 5 cm Slide 88 / 115 Slide 88 () / 115 48 Find the volume. cm 3 48 Find the volume. cm 3 9 cm 9 cm 5 cm 5 cm 540 cm 3 12 cm 12 cm Slide 89 / 115 49 Find the volume. ft 3 Slide 89 () / 115 49 Find the volume. ft 3 70 ft 70 ft 224,000 ft 3 80 ft 40 ft 40 ft 80 ft
Slide 90 / 115 50 Find the volume of a rectangular prism with the following dimensions: l = 8 in, w = 10 in, h = 4 in Slide 90 () / 115 50 Find the volume of a rectangular prism with the following dimensions: l = 8 in, w = 10 in, h = 4 in in 3 in 3 320 in 3 Slide 91 / 115 51 Find the volume of a rectangular prism with the following dimensions: l = 11 cm, w = 8 cm, h = 3 cm Slide 91 () / 115 51 Find the volume of a rectangular prism with the following dimensions: l = 11 cm, w = 8 cm, h = 3 cm 264 cm 3 cm 3 cm 3 Slide 92 / 115 52 Find the volume of a rectangular prism with the following dimensions: l = 5 ft, w = 6 ft, h = 8 ft Slide 92 () / 115 52 Find the volume of a rectangular prism with the following dimensions: l = 5 ft, w = 6 ft, h = 8 ft cubic feet cubic feet 240 cubic feet
Slide 93 / 115 53 Which is a possible length, width and height for a # rectangular prism whose volume = 18 units 3 Slide 93 () / 115 53 Which is a possible length, width and height for a # rectangular prism whose volume = 18 units 3 A 1 x 2 x 18 B 6 x 3 x 3 C 2 x 3 x 3 D 3 x 3 x 3 A 1 x 2 x 18 B 6 x 3 x 3 C 2 x 3 x 3 D 3 x 3 x 3 C Slide 94 / 115 54 Which is a possible length, width and height for a # rectangular prism whose volume = 40 units 3 Slide 94 () / 115 54 Which is a possible length, width and height for a # rectangular prism whose volume = 40 units 3 A 8 x 2 x 3 B 5 x 8 x 2 C 6 x 1 x 5 D 2 x 5 x 4 A 8 x 2 x 3 B 5 x 8 x 2 C 6 x 1 x 5 D 2 x 5 x 4 D Slide 95 / 115 55 Which is a possible length, width and height for a # rectangular prism whose volume = 36 units 3 Slide 95 () / 115 55 Which is a possible length, width and height for a # rectangular prism whose volume = 36 units 3 A 9 x 4 x 2 B 3 x 4 x 3 C 1 x 4 x 8 D 2 x 3 x 4 A 9 x 4 x 2 B 3 x 4 x 3 C 1 x 4 x 8 D 2 x 3 x 4 B
Slide 96 / 115 Slide 97 / 115 Volume Problem Solving A 3-D object can be decomposed (broken) into rectangular prisms to find the volume of the whole object. Volume Problem Solving click for source this figure can be broken into these two figures V = 3 cm 3 V = 2 cm 3 Return to Table of Contents total volume = 5 cm 3 Slide 98 / 115 Slide 98 () / 115 56 What is the volume of this object? 56 What is the volume of this object? + = + = 11 cubic units cubic units cubic units Slide 99 / 115 Slide 99 () / 115 57 What is the volume of this object? 57 What is the volume of this object? 10 cubic units cubic units cubic units
Slide 100 / 115 Slide 100 () / 115 58 What is the volume of this object? 58 What is the volume of this object? 28 cubic units cubic units cubic units Slide 101 / 115 Slide 101 () / 115 59 What is the volume of this object? 59 What is the volume of this object? 21 cubic units cubic units cubic units Slide 102 / 115 Slide 102 () / 115 60 What is the volume of concrete needed to build the steps shown in this diagram? 60 What is the volume of concrete needed to build the steps shown in this diagram? cubic feet cubic feet 22.5 ft 3 click for source click for source
Slide 103 / 115 Slide 103 () / 115 61 What is the volume of concrete needed to build the steps shown in this diagram? 61 What is the volume of concrete needed to build the steps shown in this diagram? 3 cm 3 cm 8 cm 2 cm 9 cm 3 cm cubic cm 8 cm 2 cm 9 cm 3 cm cubic cm 81 cm 3 Slide 104 / 115 Slide 104 () / 115 62 An architect needs to know how much cement is needed to fill a decorative column that is 2 feet wide by 2 feet deep. It will be 8 feet tall. How many cubic feet of cement will the architect need? 62 An architect needs to know how much cement is needed to fill a decorative column that is 2 feet wide by 2 feet deep. It will be 8 feet tall. How many cubic feet of cement will the architect need? 32 ft 3 Slide 105 / 115 Slide 105 () / 115 63 How much water is needed to fill a pool that is 50 meters long, 30 meters wide and 4 meters deep? 63 How much water is needed to fill a pool that is 50 meters long, 30 meters wide and 4 meters deep? 6000
Slide 106 / 115 Slide 106 () / 115 64 A path is 120 inches long and 24 inches wide. How much gravel is needed to put a three-inch layer of gravel over the whole path? 64 A path is 120 inches long and 24 inches wide. How much gravel is needed to put a three-inch layer of gravel over the whole path? 8,640 in 3 Slide 107 / 115 65 A box-shaped refrigerator measures 12 by 10 by 7 on the outside. All six sides of the refrigerator are 1 unit thick. What is the inside volume of the refrigerator in cubic units? HINT: You may want to draw a picture! Slide 107 () / 115 65 A box-shaped refrigerator measures 12 by 10 by 7 on the outside. All six sides of the refrigerator are 1 unit thick. What is the inside volume of the refrigerator in cubic units? HINT: You may want to draw a picture! 840 u 3 Slide 108 / 115 66 Planters that are 10 inches long, 8 inches deep and 6 inches high are being placed by the main entrance to school. How many cubic inches of soil is needed to fill six planters? Slide 108 () / 115 66 Planters that are 10 inches long, 8 inches deep and 6 inches high are being placed by the main entrance to school. How many cubic inches of soil is needed to fill six planters? 480 in 3
Slide 109 / 115 Slide 109 () / 115 67 A window air conditioner is put in for a room that is 5 meters long, 4 meters wide and 3 meters high. What is the volume of the air in the room that needs to be cooled? 67 A window air conditioner is put in for a room that is 5 meters long, 4 meters wide and 3 meters high. What is the volume of the air in the room that needs to be cooled? 60 m 3 Slide 110 / 115 Slide 110 () / 115 68 The right rectangular prism shown is made from cubes. Each cube is 1 cubic unit. 68 The right rectangular prism shown is made from cubes. Each cube is 1 cubic unit. What is the volume, in cubic units, of the right rectangular prism? 30 units 3 What is the volume, in cubic units, of the right rectangular prism? From PARCC EOY sample test #10 Slide 111 / 115 From PARCC EOY sample test #10 Slide 111 () / 115 69 A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters. What is the volume, in cubic centimeters, of the cereal box? 69 A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters. What is the volume, in cubic centimeters, of the cereal box? 5120 cm 3 From PARCC EOY sample test #20 From PARCC EOY sample test #20
Slide 112 / 115 Slide 112 () / 115 70 There are two tanks at the aquarium. Tank A and Tank B. Each tank has two sections. Part A The volume of one section of Tank A is 24 cubic feet. The volume of the other section of Tank A is 96 cubic feet. What is the total volume, in cubic feet, of Tank A? A 4 B 72 70 There are two tanks at the aquarium. Tank A and Tank B. Each tank has two sections. Part A The volume of one section of Tank A is 24 cubic feet. The volume of the other section of Tank A is 96 cubic feet. What is the total volume, in cubic feet, of Tank A? C A 4 B 72 C 120 D 2,304 From PARCC EOY sample test #31 C 120 D 2,304 From PARCC EOY sample test #31 Slide 113 / 115 Slide 113 () / 115 71 There are two tanks at the aquarium. Tank A and Tank B. Each tank has two sections. Part B Tank B has the same volume as Tank A. The volume of one section of Tank B is 45 cubic feet. What is the volume, in cubic feet, of the other section of Tank B? 71 There are two tanks at the aquarium. Tank A and Tank B. Each tank has two sections. Part B Tank B has the same volume as Tank A. The volume of one section of Tank B is 45 cubic feet. What is the volume, in cubic feet, of the other section of Tank B? 75 cubic feet From PARCC EOY sample test #31 Slide 114 / 115 From PARCC EOY sample test #31 Slide 114 () / 115 72 What is the volume of the rectangular prism in cubic units? 72 What is the volume of the rectangular prism in cubic units? 60 cubic units From PARCC PBA sample test #1 From PARCC PBA sample test #1
Slide 115 / 115 Slide 115 () / 115 73 In this right rectangular prism, each small cube measures 1 unit on each side. What is the volume of the prism? Explain how you found the volume. You may show your work in your explanation. What would be the dimensions of a new right rectangular prism that has 20 fewer unit cubes than the original prism? Explain how you determined the dimensions of the new right rectangular prism. From PARCC PBA sample test #13 73 In this right rectangular prism, each small cube measures 1 unit on each side. What is the volume prism that of has the 20 prism? fewer unit cubes than the original prism could be 4 units wide by Explain how you found the volume. You may show 5 units tall by 2 units deep. I determined your work in your these explanation. dimensions by recognizing that each What would be layer the of dimensions the original prism of that a is new 4 units right wide by 5 units tall by 1 unit deep has a rectangular prism volume that of 20 has cubic 20 layers. fewer So I unit took one cubes of than the original prism? these layers away from the original prism. Explain how you determined the dimensions of the new right rectangular prism. From PARCC PBA sample test #13 Sample Student Response: The volume of the prism is 60 cubic units because 4 x 5 x 3 = 60. The dimensions of a new right rectangular