Slide 1 / 115 Slide 2 / 115 5th Grade Measurement & Data 2015-11-23 www.njctl.org Table of Contents Standard Measurement Conversions click on the topic to go to that section Slide 3 / 115 Metric Measurement Conversions Unit Cubes Volume of a Solid with Unit Cubes Volume Problem Solving
Slide 4 / 115 Standard Measurement Conversions Return to Table of Contents Conversion Chart Students will need access to a conversion chart for the next two sections. Slide 5 / 115 Slide 6 / 115
Standard Measurement Standard Measurement System (US Customary) Converting From One Unit of Measurement to Another Slide 7 / 115 What happens if you are given a measurement in one unit, but need to use it in another? 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. Cups and Pints Slide 8 / 115 There are 2 cups in every pint. + = 1 cup 1 cup 1 pint Cups and Pints Slide 9 / 115 So how many cups are there in 3 pints? + = 1 cup 1 cup 1 pint + = 1 cup 1 cup 1 pint + = 1 cup 1 cup 1 pint 3 pints 2 cups x 3 pints = 6 cups in 3 pints
Converting Measurement When converting measurements, use your arms to help you. Slide 10 / 115 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. 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. Conversions Slide 11 / 115 Troy has 6 popsicles that are 5 in long each. If he places them all in a line, how many feet would they be? 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) Conversions Slide 12 / 115 Another example: I bought a set of 4 glasses from the market. A glass weighs 8 ounces. How many pounds does the set weigh? 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
Fractional Measurements Slide 13 / 115 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. Standard Conversions Match-Up Slide 14 / 115 1 12 yards = ft Slide 15 / 115
1 12 yards = ft Slide 15 () / 115 3 ft 2 95 ft = yds Slide 16 / 115 2 95 ft = yds Slide 16 () / 115 31 yds 2 ft
3 18 cups = pints Slide 17 / 115 3 18 cups = pints Slide 17 () / 115 9 pints 4 6 gal = pts Slide 18 / 115
4 6 gal = pts Slide 18 () / 115 48 pts 5 1.5 tons = lbs Slide 19 / 115 5 1.5 tons = lbs Slide 19 () / 115 3000 lbs
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? Slide 20 () / 115 7920 ft 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? Slide 21 () / 115 95,040 in 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? Slide 22 () / 115 6 rolls
9 Approximately how many 100-yd football fields are there in a mile? Slide 23 / 115 A 5,280 B 1760 C 17.6 9 Approximately how many 100-yd football fields are there in a mile? Slide 23 () / 115 A 5,280 B 1760 C 17.6 C 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? Slide 24 () / 115 6 oz 11 Tom has a water tank that holds 5 gallons of water. Slide 25 / 115 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? From PARCC EOY sample test #5 11 Tom has a water tank that holds 5 gallons of water. Slide 25 () / 115 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
12 Tom has a water tank that holds 5 gallons of water. Slide 26 / 115 Part B Tom drinks 4 pints of water a day. How many full tanks of water will he drink in 30 days? From PARCC EOY sample test #5 12 Tom has a water tank that holds 5 gallons of water. Slide 26 () / 115 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 Metric Measurement Conversions Return to Table of Contents
Slide 28 / 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 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. 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 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.
Comparing Units of Metric Measure Slide 30 / 115 Number of Base 10 Logs m cm mm 10 Comparing Units of Metric Measure Slide 31 / 115 Describe any patterns you see. Number of Base 10 Logs m cm mm 10 Comparing Units of Metric Measure Fill in the blanks to describe the relationships that you find among the three metric units. Slide 32 / 115 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.
To convert measurements within the metric system, we multiply or divide by multiples of 10. Slide 33 / 115 To step down, or convert to a smaller unit, you. To step up, or convert to a larger unit, you. Comparing Units of Metric Measure Slide 34 / 115 A gram is a base unit. To convert a gram to a milligram, hop down steps. or by. (multiply/divide) Comparing Units of Metric Measure Slide 35 / 115 Think about this: A paperclip weighs one gram. So, imagine what could weigh one milligram.
Metric Conversion Match-Up Slide 36 / 115 13.08 ml = L Slide 37 / 115 13.08 ml = L Slide 37 () / 115 80 L
14 1,235,000 mm = km Slide 38 / 115 14 1,235,000 mm = km Slide 38 () / 115 1,235 km 15.053 kg = mg Slide 39 / 115
15.053 kg = mg Slide 39 () / 115 53,000 mg 16 Each morning Paul rides 500 m on an exercise bike. How many kilometers does he ride in one week? Slide 40 / 115 16 Each morning Paul rides 500 m on an exercise bike. How many kilometers does he ride in one week? Slide 40 () / 115 3.5 km
17 A kitten weighs 500 g. A puppy weighs 2 kg. Freddy says that the puppy weighs more. Is Freddy correct? Slide 41 / 115 Yes No 17 A kitten weighs 500 g. A puppy weighs 2 kg. Freddy says that the puppy weighs more. Is Freddy correct? Slide 41 () / 115 Yes No Yes 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 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 42 () / 115 2.05 kg 19 How many 200 ml paper cups can be filled from a 2 liter jug of lemonade? Slide 43 / 115 19 How many 200 ml paper cups can be filled from a 2 liter jug of lemonade? Slide 43 () / 115 10
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 44 / 115 A $150 B $1.50 C $5 D $5,000 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 44 () / 115 A $150 B $1.50 C $5 D $5,000 A 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? 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? Slide 45 () / 115 16 22 7 km 20 m = m Slide 46 / 115 22 7 km 20 m = m Slide 46 () / 115 7020 m
23 Complete each conversion by dragging and dropping the correct number into each box. Slide 47 / 115 7 mm = cm 7 cm = m m = 7 mk From PARCC EOY sample test #28 23 Complete each conversion by dragging and dropping the correct number into each box. Slide 47 () / 115 7 mm = cm 7 cm = m m = 7 mk From PARCC EOY sample test #28 Slide 48 / 115 Unit Cubes Return to Table of Contents
Unit Cubes Slide 49 / 115 Unit Cubes help us to measure volumes. There are: cubic centimeters cubic inches cubic feet Unit Cubes Slide 49 () / 115 Unit Cubes help us to measure volumes. 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. 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 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 C Slide 50 () / 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 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 D Slide 51 () / 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 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 B Slide 52 () / 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 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 B Slide 53 () / 115 Slide 54 / 115 Volume of a Solid with Unit Cubes Return to Table of Contents Volume of a Solid with Unit Cubes Slide 55 / 115 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? 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?
Volume of a Solid with Unit Cubes Slide 56 / 115 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. height width length Volume of a Solid with Unit Cubes Slide 57 / 115 base The 3-D shape also has a base. Volume of a Solid with Unit Cubes Slide 58 / 115 All of these 3-D shapes are right rectangular prisms.
Volume of a Solid with Unit Cubes Slide 59 / 115 List some 3-D shapes that are right rectangular prisms in the classroom: 28 Is this shape a right rectangular prism? Slide 60 / 115 Yes No 28 Is this shape a right rectangular prism? Slide 60 () / 115 Yes No Yes
29 Is this shape a right rectangular prism? Slide 61 / 115 Yes No 29 Is this shape a right rectangular prism? Slide 61 () / 115 Yes No No 30 Is this shape a right rectangular prism? Slide 62 / 115 Yes No
30 Is this shape a right rectangular prism? Slide 62 () / 115 Yes No Yes 31 Which of the following would not be used to describe a right rectangular prism? Slide 63 / 115 A length B height C perimeter D width 31 Which of the following would not be used to describe a right rectangular prism? Slide 63 () / 115 A length B height C perimeter D width C
Volume of a Solid with Unit Cubes Slide 64 / 115 Volume - 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) Label - Units 3 or cubic units Volume of a Solid with Unit Cubes Use unit cubes to build a model of the prism shown. Slide 65 / 115 length (l) width (w) height (h) number of cubes 3 2 5 30 Now use unit cubes to build 4 other rectangular prisms. Fill in the length, width, height and number of cubes in the table. 32 Model the rectangular prism described in the table. What is its volume? Slide 66 / 115 length (l) width (w) height (h) number of cubes 2 1 4? cubic units
33 Model the rectangular prism described in the table. What is its volume? Slide 67 / 115 length (l) width (w) height (h) number of cubes 6 2 3? cubic units 34 Model the rectangular prism described in the table. What is its volume? Slide 68 / 115 length (l) width (w) height (h) number of cubes 4 3 2? cubic units 35 Model the rectangular prism described in the table. What is its volume? Slide 69 / 115 length (l) width (w) height (h) number of cubes 6 3 2? cubic units
36 Model the rectangular prism described in the table. What is its volume? Slide 70 / 115 length (l) width (w) height (h) number of cubes 4 2 3? cubic units 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. Slide 71 / 115 length width height 37 Which set of dimensions has the same volume as the first row? Slide 72 / 115 A B C length (l) width (w) height (h) number of cubes 4 2 3? 4 1 3 2 4 3 3 3 3
38 Which set of dimensions has the same volume as the first row? Slide 73 / 115 A B C length (l) width (w) height (h) number of cubes 6 4 2? 2 9 1 2 5 6 2 4 6 39 Which set of dimensions has the same volume as the first row? Slide 74 / 115 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 Slide 75 / 115 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.
40 The number of unit cubes that it takes to cover the base is also the of the base. Slide 76 / 115 A perimeter B volume C area D cubic units 40 The number of unit cubes that it takes to cover the base is also the of the base. Slide 76 () / 115 A perimeter B volume C area D cubic units C Volume of a Solid with Unit Cubes Slide 77 / 115 If you know the area of the base, l = 5 units w = 2 units area = lw = 5(2) = 10 and that it is 2 layers high, h = 2 units then... volume = area of the base times height = B x h = 10(2) = 20 cubic units
41 What is the area of the base of this rectangular prism? Slide 78 / 115 h = 4 in. l = 8 in. w = 3 in. square inches 41 What is the area of the base of this rectangular prism? Slide 78 () / 115 l = 8 in. h = 4 in. w = 3 in. 24 square inches square inches 42 What is the volume of this rectangular prism? Slide 79 / 115 h = 4 in. l = 8 in. w = 3 in. cubic inches
42 What is the volume of this rectangular prism? Slide 79 () / 115 h = 4 in. 96 cubic inches l = 8 in. w = 3 in. cubic inches 43 What is the area of the base of this rectangular prism? Slide 80 / 115 h = 50 ft. w = 20 ft. l = 30 ft. square feet 43 What is the area of the base of this rectangular prism? Slide 80 () / 115 w = 20 ft. l = 30 ft. h = 50 ft. 600 square feet square feet
44 What is the volume of this rectangular prism? Slide 81 / 115 h = 50 ft. w = 20 ft. l = 30 ft. cubic feet 44 What is the volume of this rectangular prism? Slide 81 () / 115 w = 20 ft. l = 30 ft. h = 50 ft. 30,000 cubic feet cubic feet 45 What is the area of the base of this rectangular prism (cube)? Slide 82 / 115 h = 5 cm. w = 5 cm. l = 5 cm. square centimeters
45 What is the area of the base of this rectangular prism (cube)? Slide 82 () / 115 25 square centimeters h = 5 cm. w = 5 cm. l = 5 cm. square centimeters 46 What is the volume of this rectangular prism (cube)? Slide 83 / 115 h = 5 cm. w = 5 cm. l = 5 cm. cubic centimeters 46 What is the volume of this rectangular prism (cube)? Slide 83 () / 115 h = 5 cm. 125 cubic centimeters w = 5 cm. l = 5 cm. cubic centimeters
Volume of a Solid with Unit Cubes Slide 84 / 115 To find the volume of a right rectangular prism - the length, width and height can all be multiplied together. h = 3 inches 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 Volume of a Solid with Unit Cubes Volume Formulas Slide 85 / 115 Formula 1 V= lwh; where l = length, w = width, h = height Multiply the length, width and height of the rectangular prism. Formula 2 V=Bh; where B = area of base, h = height Find the area of the rectangular prism's base and multiply it by the height. Volume of a Solid with Unit Cubes Slide 86 / 115 Click for source. (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
47 Find the volume. cm 3 Slide 87 / 115 8 cm 2 cm 5 cm 47 Find the volume. cm 3 Slide 87 () / 115 Volume: Volume: V= B x h 2 x5 V= l x w x h 10 (Area of Base) x8 (Height) 8 cm V= 5 x 2 x 8 80 m 3 V= 10 x 8 2 cm V= 80 m 3 5 cm 48 Find the volume. cm 3 Slide 88 / 115 9 cm 5 cm 12 cm
48 Find the volume. cm 3 Slide 88 () / 115 9 cm 5 cm 540 cm 3 12 cm 49 Find the volume. ft 3 Slide 89 / 115 70 ft 80 ft 40 ft 49 Find the volume. ft 3 Slide 89 () / 115 70 ft 224,000 ft 3 40 ft 80 ft
50 Find the volume of a rectangular prism with the following dimensions: l = 8 in, w = 10 in, h = 4 in Slide 90 / 115 in 3 50 Find the volume of a rectangular prism with the following dimensions: l = 8 in, w = 10 in, h = 4 in Slide 90 () / 115 in 3 320 in 3 51 Find the volume of a rectangular prism with the following dimensions: l = 11 cm, w = 8 cm, h = 3 cm Slide 91 / 115 cm 3
51 Find the volume of a rectangular prism with the following dimensions: l = 11 cm, w = 8 cm, h = 3 cm Slide 91 () / 115 264 cm 3 cm 3 52 Find the volume of a rectangular prism with the following dimensions: l = 5 ft, w = 6 ft, h = 8 ft Slide 92 / 115 cubic feet 52 Find the volume of a rectangular prism with the following dimensions: l = 5 ft, w = 6 ft, h = 8 ft Slide 92 () / 115 cubic feet 240 cubic feet
53 Which is a possible length, width and height for a # rectangular prism whose volume = 18 units 3 Slide 93 / 115 A 1 x 2 x 18 B 6 x 3 x 3 C 2 x 3 x 3 D 3 x 3 x 3 53 Which is a possible length, width and height for a # rectangular prism whose volume = 18 units 3 Slide 93 () / 115 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 54 Which is a possible length, width and height for a # rectangular prism whose volume = 40 units 3 Slide 94 / 115 A 8 x 2 x 3 B 5 x 8 x 2 C 6 x 1 x 5 D 2 x 5 x 4
54 Which is a possible length, width and height for a # rectangular prism whose volume = 40 units 3 Slide 94 () / 115 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 55 Which is a possible length, width and height for a # rectangular prism whose volume = 36 units 3 Slide 95 / 115 A 9 x 4 x 2 B 3 x 4 x 3 C 1 x 4 x 8 D 2 x 3 x 4 55 Which is a possible length, width and height for a # rectangular prism whose volume = 36 units 3 Slide 95 () / 115 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 Volume Problem Solving Return to Table of Contents Volume Problem Solving A 3-D object can be decomposed (broken) into rectangular prisms to find the volume of the whole object. Slide 97 / 115 click for source this figure can be broken into these two figures V = 3 cm 3 V = 2 cm 3 total volume = 5 cm 3 56 What is the volume of this object? Slide 98 / 115 + = cubic units
56 What is the volume of this object? Slide 98 () / 115 + = 11 cubic units cubic units 57 What is the volume of this object? Slide 99 / 115 cubic units 57 What is the volume of this object? Slide 99 () / 115 10 cubic units cubic units
58 What is the volume of this object? Slide 100 / 115 cubic units 58 What is the volume of this object? Slide 100 () / 115 28 cubic units cubic units 59 What is the volume of this object? Slide 101 / 115 cubic units
59 What is the volume of this object? Slide 101 () / 115 21 cubic units cubic units 60 What is the volume of concrete needed to build the steps shown in this diagram? Slide 102 / 115 cubic feet click for source 60 What is the volume of concrete needed to build the steps shown in this diagram? Slide 102 () / 115 cubic feet 22.5 ft 3 click for source
61 What is the volume of concrete needed to build the steps shown in this diagram? Slide 103 / 115 3 cm 8 cm cubic cm 2 cm 9 cm 3 cm 61 What is the volume of concrete needed to build the steps shown in this diagram? Slide 103 () / 115 3 cm 8 cm 2 cm 9 cm 3 cm cubic cm 81 cm 3 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? 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? Slide 104 () / 115 32 ft 3 63 How much water is needed to fill a pool that is 50 meters long, 30 meters wide and 4 meters deep? 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? Slide 105 () / 115 6000
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? 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? Slide 106 () / 115 8,640 in 3 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? Slide 107 / 115 HINT: You may want to draw a picture!
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? Slide 107 () / 115 HINT: You may want to draw a picture! 840 u 3 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? Slide 108 () / 115 480 in 3
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? 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? Slide 109 () / 115 60 m 3 68 The right rectangular prism shown is made from cubes. Each cube is 1 cubic unit. Slide 110 / 115 What is the volume, in cubic units, of the right rectangular prism? From PARCC EOY sample test #10
68 The right rectangular prism shown is made from cubes. Each cube is 1 cubic unit. Slide 110 () / 115 30 units 3 What is the volume, in cubic units, of the right rectangular prism? From PARCC EOY sample test #10 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? Slide 111 / 115 From PARCC EOY sample test #20 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? Slide 111 () / 115 5120 cm 3 From PARCC EOY sample test #20
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 Slide 112 / 115 B 72 C 120 D 2,304 From PARCC EOY sample test #31 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 Slide 112 () / 115 B 72 C 120 D 2,304 From PARCC EOY sample test #31 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? Slide 113 / 115 From PARCC EOY sample test #31
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 Slide 113 () / 115 From PARCC EOY sample test #31 72 What is the volume of the rectangular prism in cubic units? Slide 114 / 115 From PARCC PBA sample test #1 72 What is the volume of the rectangular prism in cubic units? Slide 114 () / 115 60 cubic units From PARCC PBA sample test #1
73 In this right rectangular prism, each small cube measures 1 unit on each side. Slide 115 / 115 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. Slide 115 () / 115 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