Standard Metric Measurement Conversions Measurement Conversions - - PDF document

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5th Grade

Measurement & Data

2015-11-23 www.njctl.org

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Table of Contents

· Unit Cubes · Volume of a Solid with Unit Cubes · Volume Problem Solving · Standard Measurement Conversions · Metric Measurement Conversions

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Standard Measurement Conversions

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Students will need access to a conversion chart for the next two sections.

Conversion Chart Slide 6 / 115

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Standard Measurement System (US Customary) Converting From One Unit of Measurement to Another What happens if you are given a measurement in one unit, but need to use it in another? 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. 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?

Standard Measurement Slide 8 / 115

1 pint 1 cup 1 cup

+ =

There are 2 cups in every pint.

Cups and Pints Slide 9 / 115

3 pints

1 pint 1 cup 1 cup

+ =

1 pint 1 cup 1 cup

+ =

1 pint 1 cup 1 cup

+ = So how many cups are there in 3 pints? 2 cups x 3 pints = 6 cups in 3 pints

Cups and Pints Slide 10 / 115

When converting measurements, use your arms to help you. We can spread our arms

• ut 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.

Converting Measurement 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

_____ (# of inches in a foot)

=

___ ft ___ in

Conversions Slide 12 / 115

I bought a set of 4 glasses from the market. A glass weighs 8

• unces. How many pounds does the set weigh?

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 Another example: Find the total ounces: ___ oz x __ glasses = ___ oz.

Conversions

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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.

Fractional Measurements Slide 14 / 115 Standard Conversions Match-Up Slide 15 / 115

1 12 yards = ______ ft

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1 12 yards = ______ ft

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Answer

3 ft Slide 16 / 115

2 95 ft = ______ yds

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2 95 ft = ______ yds

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Answer

31 yds 2 ft

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3 18 cups = _____ pints

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3 18 cups = _____ pints

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Answer

9 pints Slide 18 / 115

4 6 gal = ______ pts

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4 6 gal = ______ pts

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Answer

48 pts Slide 19 / 115

5 1.5 tons = ______ lbs

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5 1.5 tons = ______ lbs

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Answer

3000 lbs

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6 This morning, Tom ran 1.5 miles. How many feet did Tom run?

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6 This morning, Tom ran 1.5 miles. How many feet did Tom run?

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Answer

7920 ft Slide 21 / 115

7 If Tom ran 1.5 miles, how many inches did he run?

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7 If Tom ran 1.5 miles, how many inches did he run?

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Answer

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?

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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?

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Answer

6 rolls

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9 Approximately how many 100-yd football fields are there in a mile? A 5,280 B 1760 C 17.6

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9 Approximately how many 100-yd football fields are there in a mile? A 5,280 B 1760 C 17.6

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Answer

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?

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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?

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Answer

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?

From PARCC EOY sample test #5

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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?

From PARCC EOY sample test #5

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Answer

480 ounces

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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?

From PARCC EOY sample test #5

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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?

From PARCC EOY sample test #5

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Answer

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Metric Measurement Conversions

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• 1. Work with a partner. Measure the length in cm of ten Base 10

logs placed end to end.

Comparing Units of Metric Measure

• 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.

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• 1. Work with a partner. Measure the length in cm of ten Base 10

logs placed end to end.

Comparing Units of Metric Measure

• 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.

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Teacher Notes Materials for each group: · Ten base 10 logs · Ruler with cm and mm measures · meter ruler

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Number of Base 10 Logs m cm mm 10

Comparing Units of Metric Measure Slide 31 / 115

Number of Base 10 Logs m cm mm 10 Describe any patterns you see.

Comparing Units of Metric Measure Slide 32 / 115

Fill in the blanks to describe the relationships that you find among the three metric units. 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 ______.

Comparing Units of Metric Measure Slide 33 / 115

To convert measurements within the metric system, we multiply or divide by multiples of 10. To step down, or convert to a smaller unit, you ______. To step up, or convert to a larger unit, you ______.

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A gram is a base unit. To convert a gram to a milligram, hop down ___ steps.

• r

________ by ________.

(multiply/divide)

Comparing Units of Metric Measure Slide 35 / 115

Think about this: A paperclip weighs

• ne gram.

So, imagine what could weigh one milligram.

Comparing Units of Metric Measure

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Metric Conversion Match-Up

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13 .08 ml = _____ L

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13 .08 ml = _____ L

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Answer

80 L Slide 38 / 115

14 1,235,000 mm = _____ km

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14 1,235,000 mm = _____ km

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Answer

1,235 km Slide 39 / 115

15 .053 kg = ____ mg

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15 .053 kg = ____ mg

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Answer

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?

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16 Each morning Paul rides 500 m on an exercise bike. How many kilometers does he ride in one week?

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Answer

3.5 km Slide 41 / 115

17 A kitten weighs 500 g. A puppy weighs 2 kg. Freddy says that the puppy weighs more. Is Freddy correct? Yes No

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17 A kitten weighs 500 g. A puppy weighs 2 kg. Freddy says that the puppy weighs more. Is Freddy correct? Yes No

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Answer

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?

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18 I make 2.5 kg of popcorn, and I eat 450 g of it while watching a movie. How much popcorn is left?

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Answer

2.05 kg Slide 43 / 115

19 How many 200 ml paper cups can be filled from a 2 liter jug of lemonade?

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19 How many 200 ml paper cups can be filled from a 2 liter jug of lemonade?

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Answer

10 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? A $150 B $1.50 C $5 D $5,000

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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? A $150 B $1.50 C $5 D $5,000

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Answer

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?

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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?

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Answer

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22 7 km 20 m = _______ m

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22 7 km 20 m = _______ m

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Answer

7020 m Slide 47 / 115

23 Complete each conversion by dragging and dropping the correct number into each box. 7 mm = cm 7 cm = m m = 7 mk

From PARCC EOY sample test #28

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23 Complete each conversion by dragging and dropping the correct number into each box. 7 mm = cm 7 cm = m m = 7 mk

From PARCC EOY sample test #28

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Answer

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Unit Cubes

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Unit Cubes help us to measure volumes. There are: cubic centimeters cubic inches cubic feet

Unit Cubes Slide 49 (Answer) / 115

Unit Cubes help us to measure volumes. There are: cubic centimeters cubic inches cubic feet

Unit Cubes

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Teacher Notes Have inch cubes and centimeter cubes available for students to

• compare. Model what a cubic foot

would look like.

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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

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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

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Answer

C 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

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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

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Answer

D

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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

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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

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Answer

B 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

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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

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Answer

B Slide 54 / 115

Volume of a Solid with Unit Cubes

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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?

Blocks Problem

Volume of a Solid with Unit Cubes

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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. length width height

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The 3-D shape also has a base. base

Volume of a Solid with Unit Cubes Slide 58 / 115

All of these 3-D shapes are right rectangular prisms.

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List some 3-D shapes that are right rectangular prisms in the classroom:

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28 Is this shape a right rectangular prism? Yes No

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28 Is this shape a right rectangular prism? Yes No

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Answer

Yes

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29 Is this shape a right rectangular prism? Yes No

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29 Is this shape a right rectangular prism? Yes No

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Answer

No Slide 62 / 115

30 Is this shape a right rectangular prism? Yes No

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30 Is this shape a right rectangular prism? Yes No

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Answer

Yes Slide 63 / 115

31 Which of the following would not be used to describe a right rectangular prism? A length B height C perimeter D width

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31 Which of the following would not be used to describe a right rectangular prism? A length B height C perimeter D width

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Answer

C

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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

• Units3 or cubic units

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Use unit cubes to build a model of the prism shown. 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.

Volume of a Solid with Unit Cubes Slide 66 / 115

32 Model the rectangular prism described in the table. What is its volume?

length (l) width (w) height (h) number of cubes 2 1 4 ?

_____ cubic units

Answer

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33 Model the rectangular prism described in the table. What is its volume?

length (l) width (w) height (h) number of cubes 6 2 3 ?

_____ cubic units

Answer

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34 Model the rectangular prism described in the table. What is its volume?

length (l) width (w) height (h) number of cubes 4 3 2 ?

_____ cubic units

Answer

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35 Model the rectangular prism described in the table. What is its volume?

length (l) width (w) height (h) number of cubes 6 3 2 ?

_____ cubic units

Answer

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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 ?

_____ cubic units

Answer

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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

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37 Which set of dimensions has the same volume as the first row? A B C

length (l) width (w) height (h) number of cubes 4 2 3 ? 4 1 3 2 4 3 3 3 3 Answer

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38 Which set of dimensions has the same volume as the first row? A B C

length (l) width (w) height (h) number of cubes 6 4 2 ? 2 9 1 2 5 6 2 4 6 Answer

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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 Answer

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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.

Volume of a Solid with Unit Cubes

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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

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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

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Answer

C 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

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41 What is the area of the base of this rectangular prism? l = 8 in. w = 3 in. h = 4 in. _________ square inches

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41 What is the area of the base of this rectangular prism? l = 8 in. w = 3 in. h = 4 in. _________ square inches

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Answer

24 square inches Slide 79 / 115

42 What is the volume of this rectangular prism? l = 8 in. w = 3 in. h = 4 in. _________ cubic inches

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42 What is the volume of this rectangular prism? l = 8 in. w = 3 in. h = 4 in. _________ cubic inches

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Answer

96 cubic inches Slide 80 / 115

43 What is the area of the base of this rectangular prism? l = 30 ft. w = 20 ft. h = 50 ft. _________ square feet

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43 What is the area of the base of this rectangular prism? l = 30 ft. w = 20 ft. h = 50 ft. _________ square feet

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Answer

600 square feet Slide 81 / 115

44 What is the volume of this rectangular prism? l = 30 ft. w = 20 ft. h = 50 ft. _________ cubic feet

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44 What is the volume of this rectangular prism? l = 30 ft. w = 20 ft. h = 50 ft. _________ cubic feet

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Answer

30,000 cubic feet Slide 82 / 115

45 What is the area of the base of this rectangular prism (cube)? l = 5 cm. w = 5 cm. h = 5 cm. _________ square centimeters

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45 What is the area of the base of this rectangular prism (cube)? l = 5 cm. w = 5 cm. h = 5 cm. _________ square centimeters

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Answer

25 square centimeters Slide 83 / 115

46 What is the volume of this rectangular prism (cube)? l = 5 cm. w = 5 cm. h = 5 cm. _________ cubic centimeters

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46 What is the volume of this rectangular prism (cube)? l = 5 cm. w = 5 cm. h = 5 cm. _________ cubic centimeters

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Answer

125 cubic centimeters Slide 84 / 115

To find the volume of a right rectangular prism - the length, width and height can all be multiplied together. l = 7 inches h = 3 inches w = 4 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 in3

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Volume Formulas 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.

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Click for source.

(3 x 2) represents the 1st layer 5 layers high Three ways to solve: (3 x 2) x 5 = 30 units3 (3 x 2) + (3 x 2) + (3 x 2) + (3 x 2) + (3 x 2) = 30 units3 6 + 6 + 6 + 6 + 6 = 30 units3

Volume of a Solid with Unit Cubes

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47 Find the volume. ________ cm3 5 cm 8 cm 2 cm

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47 Find the volume. ________ cm3 5 cm 8 cm 2 cm

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Answer

Volume: 2 x5 10 (Area of Base) x8 (Height) 80 m3 Volume: V= B x h V= l x w x h V= 5 x 2 x 8 V= 10 x 8 V= 80 m3

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48 Find the volume. _________ cm 3 5 cm 9 cm 12 cm

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48 Find the volume. _________ cm 3 5 cm 9 cm 12 cm

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Answer

540 cm3 Slide 89 / 115

49 Find the volume. __________ ft 3 40 ft 70 ft 80 ft

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49 Find the volume. __________ ft 3 40 ft 70 ft 80 ft

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Answer

224,000 ft3

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50 Find the volume of a rectangular prism with the following dimensions: l = 8 in, w = 10 in, h = 4 in __________ in 3

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50 Find the volume of a rectangular prism with the following dimensions: l = 8 in, w = 10 in, h = 4 in __________ in 3

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Answer

320 in3 Slide 91 / 115

51 Find the volume of a rectangular prism with the following dimensions: l = 11 cm, w = 8 cm, h = 3 cm __________ cm 3

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51 Find the volume of a rectangular prism with the following dimensions: l = 11 cm, w = 8 cm, h = 3 cm __________ cm 3

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Answer

264 cm3 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

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52 Find the volume of a rectangular prism with the following dimensions: l = 5 ft, w = 6 ft, h = 8 ft __________ cubic feet

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Answer

240 cubic feet

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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

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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

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Answer

C 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

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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

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Answer

D 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

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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

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Answer

B

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Volume Problem Solving

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A 3-D object can be decomposed (broken) into rectangular prisms to find the volume of the whole object. can be broken into these two figures this figure V = 3 cm3 V = 2 cm3 total volume = 5 cm3

click for source

Volume Problem Solving Slide 98 / 115

56 What is the volume of this object? __________ cubic units

+

=

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56 What is the volume of this object? __________ cubic units

+

=

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Answer

11 cubic units Slide 99 / 115

57 What is the volume of this object? __________ cubic units

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57 What is the volume of this object? __________ cubic units

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Answer

10 cubic units

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58 What is the volume of this object? __________ cubic units

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58 What is the volume of this object? __________ cubic units

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Answer

28 cubic units Slide 101 / 115

59 What is the volume of this object? __________ cubic units

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59 What is the volume of this object? __________ cubic units

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Answer

21 cubic units Slide 102 / 115

60 What is the volume of concrete needed to build the steps shown in this diagram?

click for source

_________ cubic feet

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60 What is the volume of concrete needed to build the steps shown in this diagram?

click for source

_________ cubic feet

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Answer

22.5 ft3

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61 What is the volume of concrete needed to build the steps shown in this diagram? _________ cubic cm 9 cm 3 cm 2 cm 8 cm 3 cm

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61 What is the volume of concrete needed to build the steps shown in this diagram? _________ cubic cm 9 cm 3 cm 2 cm 8 cm 3 cm

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Answer

81 cm3 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?

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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?

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Answer

32 ft3 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?

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63 How much water is needed to fill a pool that is 50 meters long, 30 meters wide and 4 meters deep?

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Answer

6000

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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?

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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?

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Answer

8,640 in3 Slide 107 / 115

65 A box-shaped refrigerator measures 12 by 10 by 7

• n 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 (Answer) / 115

65 A box-shaped refrigerator measures 12 by 10 by 7

• n 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!

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Answer

840 u3 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 (Answer) / 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?

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Answer

480 in3

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 (Answer) / 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?

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Answer

60 m3 Slide 110 / 115

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?

From PARCC EOY sample test #10

Slide 110 (Answer) / 115

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?

From PARCC EOY sample test #10

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Answer

30 units3 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?

From PARCC EOY sample test #20

Slide 111 (Answer) / 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?

From PARCC EOY sample test #20

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Answer

5120 cm3

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?

From PARCC EOY sample test #31

A 4 B 72 C 120 D 2,304

Slide 112 (Answer) / 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?

From PARCC EOY sample test #31

A 4 B 72 C 120 D 2,304

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Answer

C 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?

From PARCC EOY sample test #31

Slide 113 (Answer) / 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?

From PARCC EOY sample test #31

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Answer

75 cubic feet Slide 114 / 115

72 What is the volume of the rectangular prism in cubic units?

From PARCC PBA sample test #1

Slide 114 (Answer) / 115

72 What is the volume of the rectangular prism in cubic units?

From PARCC PBA sample test #1

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Answer

60 cubic units

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

Slide 115 (Answer) / 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

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Answer

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 prism that has 20 fewer unit cubes than the original prism could be 4 units wide by 5 units tall by 2 units deep. I determined these dimensions by recognizing that each layer of the original prism that is 4 units wide by 5 units tall by 1 unit deep has a volume of 20 cubic layers. So I took one of these layers away from the original prism.