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5th Grade
Measurement & Data
2015-11-23
www.njctl.org
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Table of Contents
click on the topic to go
to that section
· Standard Measurement Conversions
· Metric Measurement Conversions
· Unit Cubes
Standard
Measurement
Conversions
· Volume of a Solid with Unit Cubes
· Volume Problem Solving
Return to Table
of Contents
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Conversion Chart
Students will need access to a conversion
chart for the next two sections.
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Standard Measurement
Cups and Pints
Standard Measurement System (US Customary) Converting From
One Unit of Measurement to Another
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.
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Cups and Pints
Converting Measurement
When converting measurements, use your arms to help you.
So how many cups are there in 3 pints?
=
+
1 cup
1 cup
We can fold our arms
in a hug to show that
something is smaller.
1 pint
=
+
1 cup
We can spread our arms
out wide to show that
something is bigger.
1 cup
=
+
1 cup
1 pint
1 cup
To convert a smaller unit to
a larger unit, we divide the
amount.
3 pints
1 pint
To convert a larger unit to a
smaller unit, we multiply the
amount.
2 cups x 3 pints = 6 cups in 3 pints
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Conversions
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:
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
= 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)
+
5 in
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
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Fractional Measurements
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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.
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1 12 yards = ______ ft
Answer
1 12 yards = ______ ft
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3 ft
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2 95 ft = ______ yds
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2 95 ft = ______ yds
Answer
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31 yds 2 ft
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3 18 cups = _____ pints
Answer
3 18 cups = _____ pints
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9 pints
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4 6 gal = ______ pts
Answer
4 6 gal = ______ pts
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48 pts
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5 1.5 tons = ______ lbs
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5 1.5 tons = ______ lbs
Answer
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3000 lbs
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6 This morning, Tom ran 1.5 miles.
How many feet did Tom run?
Answer
6 This morning, Tom ran 1.5 miles.
How many feet did Tom run?
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7920 ft
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7 If Tom ran 1.5 miles, how many inches did he run?
Answer
7 If Tom ran 1.5 miles, how many inches did he run?
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95,040 in
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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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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?
Answer
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6 rolls
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9 Approximately how many 100-yd football fields are there
in a mile?
A 5,280
A 5,280
B 1760
B 1760
C 17.6
C 17.6
Answer
9 Approximately how many 100-yd football fields are there
in a mile?
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C
[This object is a pull tab]
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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?
Answer
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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6 oz
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11 Tom has a water tank that holds 5 gallons of water.
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?
Answer
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?
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480 ounces
[This object is a pull tab]
From PARCC EOY sample test #5
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?
Answer
Part B
Tom drinks 4 pints of water a day.
How many full tanks of water will he drink in 30 days?
12 Tom has a water tank that holds 5 gallons of water.
3
[This object is a pull tab]
From PARCC EOY sample test #5
From PARCC EOY sample test #5
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Metric
Measurement
Conversions
Return to Table
of Contents
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Comparing Units of Metric Measure
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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.
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
time ruler
in mm. Record your
· meter
measure in the table.
4. Measure the length a third time using the meter ruler. Record
your measure in the table.
4. Measure the length a third time using
the meter ruler. Record
[This object is a pull tab]
your measure in the table.
Teacher Notes
1. Work with a partner. Measure the length in cm of ten Base 10
logs placed end to end.
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Comparing Units of Metric Measure
Comparing Units of Metric Measure
Describe any patterns you see.
Number of
Base 10
Logs
m
cm
mm
Number of
Base 10
Logs
10
m
cm
mm
10
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Comparing Units of Metric Measure
Fill in the blanks to describe the relationships that you find
among the three metric units.
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 step down, or convert to a smaller unit, you ______.
To convert mm to m ___________ by ______.
To step up, or convert to a larger unit, you ______.
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Comparing Units of Metric Measure
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 ________.
A paperclip weighs
one gram.
(multiply/divide)
So, imagine what could weigh one milligram.
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Metric Conversion Match-Up
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13 .08 ml = _____ L
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14 1,235,000 mm = _____ km
Answer
13 .08 ml = _____ L
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80 L
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Answer
14 1,235,000 mm = _____ km
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15 .053 kg = ____ mg
1,235 km
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16 Each morning Paul rides 500 m on an exercise bike. How
many kilometers does he ride in one week?
Answer
15 .053 kg = ____ mg
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53,000 mg
[This object is a pull tab]
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Answer
16 Each morning Paul rides 500 m on an exercise bike. How
many kilometers does he ride in one week?
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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
3.5 km
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?
No
Answer
Yes
Yes
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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
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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19 How many 200 ml paper cups can be filled from a 2 liter
jug of lemonade?
2.05 kg
[This object is a pull tab]
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Answer
19 How many 200 ml paper cups can be filled from a 2 liter
jug of lemonade?
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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
10
B $1.50
C $5
[This object is a pull tab]
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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?
B $1.50
C $5
Answer
A $150
A
D $5,000
[This object is a pull tab]
D $5,000
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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
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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22 7 km 20 m = _______ m
16
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Answer
22 7 km 20 m = _______ m
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23 Complete each conversion by dragging and dropping the
correct number into each box.
7020 m
7 mm =
cm
7 cm =
m
[This object is a pull tab]
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.
cm
7 cm =
m
Unit Cubes
Answer
7 mm =
m = 7 mk
From PARCC EOY sample test #28
[This object is a pull tab]
Return to Table
of Contents
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Unit Cubes
There are:
cubic centimeters
cubic inches
cubic feet
Unit Cubes help us to measure volumes.
Teacher Notes
Unit Cubes help us to measure volumes.
Unit Cubes
There
are:and centimeter
Have inch
cubes
cubic centimeters
cubes available
for students to
inches
compare.cubic
Model
what a cubic foot
cubic
wouldfeet
look like.
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24 What would be the best unit to measure the volume of a
cereal box?
24 What would be the best unit to measure the volume of a
cereal box?
A cubic feet
B cubic meters
C cubic centimeters
C cubic centimeters
D cubic miles
D cubic miles
Answer
A cubic feet
B cubic meters
C
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25 What would be the best unit to measure the volume of a
classroom?
25 What would be the best unit to measure the volume of a
classroom?
A cubic miles
B cubic centimeters
C cubic inches
C cubic inches
D cubic meters
D cubic meters
Answer
A cubic miles
B cubic centimeters
D
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26 What would be the best unit to measure the volume of a
desk drawer?
26 What would be the best unit to measure the volume of a
desk drawer?
A cubic yards
B cubic inches
C cubic meters
C cubic meters
D cubic millimeters
D cubic millimeters
Answer
A cubic yards
B cubic inches
B
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27 What would be the best unit to measure the volume of a
soccer ball?
27 What would be the best unit to measure the volume of a
soccer ball?
A cubic millimeters
B cubic centimeters
C cubic meters
C cubic meters
D cubic kilometers
D cubic kilometers
Answer
A cubic millimeters
B cubic centimeters
B
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Volume of a Solid with Unit Cubes
Blocks Problem
Volume of a Solid
with Unit Cubes
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?
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Volume of a Solid with Unit Cubes
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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
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Volume of a Solid with Unit Cubes
Volume of a Solid with Unit Cubes
All of these 3-D shapes are right rectangular prisms.
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
Yes
No
No
Answer
28 Is this shape a right rectangular prism?
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Yes
[This object is a pull tab]
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29 Is this shape a right rectangular prism?
Yes
Yes
No
No
Answer
29 Is this shape a right rectangular prism?
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No
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30 Is this shape a right rectangular prism?
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30 Is this shape a right rectangular prism?
Yes
No
No
Answer
Yes
Yes
[This object is a pull tab]
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31 Which of the following would not be used to describe a
right rectangular prism?
A length
A length
B height
B height
C perimeter
C perimeter
D width
D width
Answer
31 Which of the following would not be used to describe a
right rectangular prism?
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C
[This object is a pull tab]
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Volume of a Solid with Unit Cubes
Volume of a Solid with Unit Cubes
Use unit cubes to build a model of the prism shown.
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)
length (l)
width (w)
height (h)
number of
cubes
3
2
5
30
Label
- Units3 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.
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32 Model the rectangular prism described in the table.
33 Model the rectangular prism described in the table.
length (l)
width (w)
height (h)
number of
cubes
2
1
4
?
length (l)
width (w)
height (h)
6
2
3
_____ cubic units
number of
cubes
?
Answer
What is its volume?
Answer
What is its volume?
_____ cubic units
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34 Model the rectangular prism described in the table.
35 Model the rectangular prism described in the table.
What is its volume?
width (w)
height (h)
4
3
2
_____ cubic units
number of
cubes
?
length (l)
width (w)
height (h)
6
3
2
_____ cubic units
number of
cubes
?
Answer
length (l)
Answer
What is its volume?
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Volume of a Solid with Unit Cubes
36 Model the rectangular prism described in the table.
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.
What is its volume?
width (w)
height (h)
4
2
3
number of
cubes
?
length
width
height
Answer
length (l)
_____ cubic units
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width (w)
height (h)
4
2
3
4
1
3
2
4
3
3
3
3
number of
cubes
?
A
B
C
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A
B
C
width (w)
7
1
8
1
1
2
7
1
6
2
2
height (h)
6
4
2
2
9
1
2
5
6
2
4
6
number of
cubes
?
Volume of a Solid with Unit Cubes
So far we have found the volume of right rectangular prisms
by counting unit cubes.
Answer
length (l)
width (w)
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39 Which set of dimensions has the same volume as the
first row?
number of
height (h)
cubes
2
?
length (l)
We can also find the area by thinking of layering unit cubes.
Think of the base as the bottom layer.
Answer
A
B
C
length (l)
38 Which set of dimensions has the same volume as the
first row?
Answer
37 Which set of dimensions has the same volume as the
first row?
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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
A perimeter
B volume
B volume
C area
C area
D cubic units
D cubic units
Answer
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C
[This object is a pull tab]
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Volume of a Solid with Unit Cubes
If you know the area of the base,
41 What is the area of the base of this rectangular
prism?
area = lw
= 5(2)
= 10
w = 2 units
l = 5 units
h = 4 in.
and that it is 2 layers high,
w = 3 in.
l = 8 in.
h = 2 units
then...
_________ square inches
volume = area of the base times height
=Bxh
= 10(2)
= 20 cubic units
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Answer
41 What is the area of the base of this rectangular
prism?
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42 What is the volume of this rectangular
prism?
h = 4 in.
h = 4 in.
24 square inches
w = 3 in.
w = 3 in.
l = 8 in.
l = 8 in.
[This object is a pull tab]
_________ square inches
_________ cubic inches
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Answer
42 What is the volume of this rectangular
prism?
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43 What is the area of the base of this rectangular
prism?
h = 4 in.
96 cubic inches
w = 3 in.
h = 50 ft.
w = 20 ft.
l = 8 in.
l = 30 ft.
[This object is a pull tab]
_________ cubic inches
_________ square feet
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Answer
43 What is the area of the base of this rectangular
prism?
h = 50 ft.
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44 What is the volume of this rectangular
prism?
600 square feet
h = 50 ft.
w = 20 ft.
w = 20 ft.
l = 30 ft.
[This object is a pull tab]
l = 30 ft.
_________ cubic feet
_________ square feet
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Answer
44 What is the volume of this rectangular
prism?
h = 50 ft.30,000
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45 What is the area of the base of this rectangular
prism (cube)?
cubic feet
h = 5 cm.
w = 20 ft.
l = 5 cm.
l = 30 ft.
[This object is a pull tab]
_________ cubic feet
w = 5 cm.
_________ square centimeters
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Answer
45 What is the area of the base of this rectangular
prism (cube)?
h = 525
cm.square
46 What is the volume of this rectangular prism
(cube)?
h = 5 cm.
centimeters
l = 5 cm.
l = 5 cm.
w = 5 cm.
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w = 5 cm.
[This object is a pull tab]
_________ square centimeters
_________ cubic centimeters
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Answer
46 What is the volume of this rectangular prism
(cube)?
h = 5 125
cm.
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.
cubic centimeters
h = 3 inches
w = 4 inches
l = 5 cm.
w = 5 cm.
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[This object is a pull tab]
_________ cubic centimeters
V=lxwxh
V = (7 inches) x (4 inches) x (3 inches)
V = 84 (inches) x (inches) x (inches)
V = 83 in3
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Volume of a Solid with Unit Cubes
Volume Formulas
l = 7 inches
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Volume of a Solid with Unit Cubes
Click for source.
Formula 1
(3 x 2) represents the 1st layer
V= lwh; where l = length, w = width, h = height
5 layers high
Multiply the length, width and height of the rectangular prism.
Three ways to solve:
Formula 2
(3 x 2) x 5 = 30 units3
V=Bh; where B = area of base, h = height
(3 x 2) + (3 x 2) + (3 x 2) + (3 x 2) + (3 x 2) = 30 units3
Find the area of the rectangular prism's base and multiply it by the
height.
6 + 6 + 6 + 6 + 6 = 30 units3
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________ cm3
47 Find the volume.
Answer
47 Find the volume.
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8 cm
2 cm
2 cm
5 cm
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48 Find the volume.
_________ cm 3
________ cm3
Volume:
2
x5
10 (Area of Base)
8 cm
x8 (Height)
80 m3
V= 10 x 8
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48 Find the volume.
_________ cm 3
Answer
9 cm
540
5 cm
12
cm
cm
3
[This object is a pull tab]
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__________ ft 3
Answer
49 Find the volume.
70 ft
40 ft
80 ft
V= 5 x 2 x 8
5 cm
12
cm
__________ ft 3
V= l x w x h
V= 80 m3
5 cm
49 Find the volume.
V= B x h
[This object is a pull tab]
9 cm
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Volume:
70 ft
224,000 ft3
40 ft
80 ft
[This object is a pull tab]
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
Answer
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320 in3
[This object is a pull tab]
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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
Answer
51 Find the volume of a rectangular prism with
the following dimensions:
l = 11 cm, w = 8 cm, h = 3 cm
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__________ cm 3
264 cm3
__________ cm 3
[This object is a pull tab]
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
Answer
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__________ cubic feet
240 cubic feet
[This object is a pull tab]
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Which is a possible length, width and height for a #
rectangular prism whose volume = 18 units 3
53
Which is a possible length, width and height for a #
rectangular prism whose volume = 18 units 3
A
1 x 2 x 18
A
1 x 2 x 18
B
6x3x3
B
6x3x3
C
2x3x3
C
2x3x3
D
3x3x3
D
3x3x3
Answer
53
Slide 93 (Answer) / 115
C
[This object is a pull tab]
Slide 94 / 115
Which is a possible length, width and height for a #
rectangular prism whose volume = 40 units 3
54
Which is a possible length, width and height for a #
rectangular prism whose volume = 40 units 3
A
8x2x3
A
8x2x3
B
5x8x2
B
5x8x2
C
6x1x5
C
6x1x5
D
2x5x4
D
2x5x4
Answer
54
Slide 94 (Answer) / 115
D
[This object is a pull tab]
Slide 95 / 115
Which is a possible length, width and height for a #
rectangular prism whose volume = 36 units 3
55
Which is a possible length, width and height for a #
rectangular prism whose volume = 36 units 3
A
9x4x2
A
9x4x2
B
3x4x3
B
3x4x3
C
1x4x8
C
1x4x8
D
2x3x4
D
2x3x4
Answer
55
Slide 95 (Answer) / 115
B
[This object is a pull tab]
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
this figure
click for source
can be broken into
these two figures
V = 3 cm3
Return to Table
of Contents
total volume = 5 cm3
Slide 98 / 115
+
=
Slide 98 (Answer) / 115
56 What is the volume of this object?
+
Answer
56 What is the volume of this object?
V = 2 cm3
=
11 cubic units
[This object is a pull tab]
__________ cubic units
Slide 99 / 115
Slide 99 (Answer) / 115
57 What is the volume of this object?
Answer
57 What is the volume of this object?
__________ cubic units
__________ cubic units
10 cubic units
__________ cubic units
[This object is a pull tab]
Slide 100 / 115
58 What is the volume of this object?
Answer
58 What is the volume of this object?
Slide 100 (Answer) / 115
__________ cubic units
__________ cubic units
Slide 101 / 115
[This object is a pull tab]
Slide 101 (Answer) / 115
59 What is the volume of this object?
Answer
59 What is the volume of this object?
28 cubic units
21 cubic units
[This object is a pull tab]
__________ cubic units
__________ cubic units
Slide 102 (Answer) / 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?
Answer
Slide 102 / 115
_________ cubic feet
click for source
_________ cubic feet
22.5 ft3
click for source
[This object is a pull tab]
Slide 103 (Answer) / 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?
8 cm
9 cm
_________ cubic cm
2 cm
3 cm
8 cm
9 cm
2 cm
3 cm
Answer
3c
3c
m
m
Slide 103 / 115
_________ cubic
3 cm
81 cm
[This object is a pull tab]
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?
Answer
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 (Answer) / 115
32 ft3
[This object is a pull tab]
63 How much water is needed to fill a pool that is 50
meters long, 30 meters wide and 4 meters deep?
Slide 105 (Answer) / 115
63 How much water is needed to fill a pool that is 50
meters long, 30 meters wide and 4 meters deep?
Answer
Slide 105 / 115
6000
[This object is a pull tab]
Slide 106 (Answer) / 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?
Answer
Slide 106 / 115
8,640 in3
[This object is a pull tab]
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 (Answer) / 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?
Answer
Slide 107 / 115
HINT: You may want to draw a picture!
840 u3
[This object is a pull tab]
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?
Answer
Slide 108 / 115
480 in3
[This object is a pull tab]
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?
Answer
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
60 m3
[This object is a pull tab]
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?
Slide 110 (Answer) / 115
68 The right rectangular prism shown is made from cubes.
Each cube is 1 cubic unit.
Answer
Slide 110 / 115
30 units3
What is the volume, in cubic units, of the right
rectangular prism?
[This object is a pull tab]
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.
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?
Answer
What is the volume, in cubic centimeters, of the cereal
box?
From PARCC EOY sample test #10
5120 cm3
[This object is a pull tab]
From PARCC EOY sample test #20
From PARCC EOY sample test #20
Slide 112 / 115
70 There are two tanks at the aquarium. Tank A and Tank B.
Each tank has two sections.
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.
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
What is the total volume, in cubic feet, of Tank A?
C
A 4
B 72
B 72
C 120
C 120
D 2,304
D 2,304
From PARCC EOY sample test #31
Answer
Part A
From PARCC EOY sample test #31
Slide 113 / 115
71 There are two tanks at the aquarium. Tank A and Tank B.
Each tank has two sections.
[This object is a pull tab]
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.
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?
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?
Answer
Part B
75 cubic feet
[This object is a pull tab]
From PARCC EOY sample test #31
Slide 114 / 115
Slide 114 (Answer) / 115
72 What is the volume of the rectangular prism in cubic
units?
Answer
72 What is the volume of the rectangular prism in cubic
units?
From PARCC EOY sample test #31
60 cubic units
[This object is a pull tab]
From PARCC PBA sample test #1
From PARCC PBA sample test #1
Slide 115 / 115
73 In this right rectangular prism, each small cube measures
1 unit on each side.
Slide 115 (Answer) / 115
73 In this right rectangular prism, each small cube measures
1 unit on each side.
Sample Student Response:
· 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
Answer
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
fewer unit cubes than
· What is the volume
ofhas
the20prism?
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
theseexplanation.
dimensions by recognizing that each
the original prismof
that
4 units
· What would belayer
theof dimensions
a isnew
right
wide by 5 units tall by 1 unit deep has a
rectangular prism
that
has
20
fewer
unit
cubes
than
volume of 20 cubic layers. So I took one of
object is a pull tab]
these layers [This
away
from the original prism.
the original prism?
· Explain how you determined the dimensions of the
new right rectangular prism.
From PARCC PBA sample test #13