We included HMH Into Math Grade 5 Answer Key PDF Module 5 Lesson 3 Estimate Volume to make students experts in learning maths.
HMH Into Math Grade 5 Module 5 Lesson 3 Answer Key Estimate Volume
I Can use an everyday object to estimate the volume of a right rectangular prism.
Spark Your Learning
Nicole is sending care packages to troops overseas. She places boxes of cards of the same size into a large box as shown.
Estimate how many boxes of cards Nicole can place in the large box. How do you know?
Answer:
Explanation:
Number of boxes of cards Nicole can place in the large box are 42 cards, if we count the number of cards in the box length we have 7 cards and width we have 6 cards and number of layers are 1 so number we have cards are 7 X 6 X 1 = 42 cards.
Turn and Tálk Given the information you have, can Nicole pack the large box so more boxes of cards can fit? Explain your thinking.
Answer:
Yes,
Explanation:
Yes, Nicole can pack the large box with more boxes of cards it can fit as each box is of 2 cm X 2 cm X 2 cm and we have filled with 1 layer means only 2 cm height is used and given height of the box is 14 cm so more boxes of cards can be fitted.
Build Understanding
1. Billie packs pasta boxes into one of two larger boxes for a local food bank. If she wants to pack at least 29 pasta boxes in one of the larger boxes, which box should she use?
A. How many pasta boxes are shown in the bottom layer of each larger box? How do you know?
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B. Does knowing only how many pasta boxes are in the bottom layer of each larger box help you determine which box Billie should use? Explain your thinking.
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C. What are the volumes of Box 1 and Box 2 in terms of the number of pasta boxes that fit inside each larger box?
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D. Which box should Billie use? How do you know?
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Answer:
Box 1,
A. Bottom Layer-
Box 1 : 3 X 2 X 1 = 6 pasta boxes,
Box 2: 3 X 3 X 1 = 9 pasta boxes,
B. No,
C. Volume is
Box 1 : 30 pasta boxes,
Box 2 : 27 pasta boxes,
D. Box 1,
Explanation:
Given Billie packs pasta boxes into one of two larger boxes for a local food bank. If she wants to pack at least 29 pasta boxes in one of the larger boxes, as Box 1 has 3 X 2 X 5 = 30 pasta boxes and Box 2 has
3 X 3 X 3 = 27 pasta boxes therefore Billie should use
Box 1.
A. Number of pasta boxes are shown in the bottom layer of each larger box are
Box 1 : 3 X 2 X 1 = 6 pasta boxes,
Box 2: 3 X 3 X 1 = 9 pasta boxes,
B. By knowing only how many pasta boxes are in the bottom layer of each larger box doesnot help us to determine which box Billie should use why because depending upon only length and width we cannot know the whole number of boxes in the larger ones we even have to consider height too.
C. The volumes of Box 1 and Box 2 in terms of the number of pasta boxes that fit inside each larger box
Box 1 : 3 X 2 X 5 = 30 pasta boxes,
Box 2: 3 X 3 X 3 = 27 pasta boxes,
D. Billie should use Box 1 as it has volume of 30 pasta boxes and Billie wants to pack at least 29 pasta boxes.
Turn and Talk How could you estimate to the nearest whole unit to find the volume of each larger box?
Answer:
Nearest length, width and height,
Explanation:
We take the nearest whole units of length, width and height to find the volume of each larger box.
2. A company sends boxes of phones from its warehouse. The volume of each phone and its protective packaging is 12 cubic inches.
A. How many phones are in the bottom layer? ____
B. How many layers are shown in the box? ______________
C. How many phones are in the box? ____
D. How can you estimate the volume of the box?
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E. Estimate the volume of the box of phones. __________________________
Answer:
A. 20 phones,
B. 6 layers,
C. 120 phones,
D. length, width and height of the box,
E. 1,440 cubic inches,
Explanation:
Given a company sends boxes of phones from its warehouse.
The volume of each phone and its protective packaging is 12 cubic inches.
A. Number of phones are in the bottom layer are 5 X 4 X 1 = 20 phones,
B. Number of layers are shown in the box are 6 as height of box is 6.
C. Number of phones are in the box are
5 X 4 X 6 = 120 phones,
D. The volume of the box can be estimated by length, width and height of the box multiplied by 12 cubic inches,
E. The volume of the box of phones is 5 X 4 X 6 X 12 = 1,440 cubic inches.
Turn and Talk How can you estimate the volume of a box that is packed with 4 fewer phones in each layer?
Answer:
By reducing length from 5 to 4,
Volume = 1,152 cubic inches,
Explanation:
We can estimate the volume of a box that is packed with 4 fewer phones in each layer by reducing the length from 5 to 4 and width and height will be same, we get volume as 4 X 4 X 6 X 12 = 1,152 cubic inches.
Check Understanding Math Board
Estimate the volume of the large box.
Question 1.
Volume of watch box: 40 cu cm
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Answer:
640 cu cm,
Explanation:
Given volume of watch box: 40 cu cm,
The volume of larger box is as
length = 4,
width = 2,
height = 4, therefore volume = 4 X 2 X 2 X 40 cu cm = 640 cu cm.
Question 2.
The volume of action figure box: 60 cu in.
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Answer:
3,240 cu in,
Explanation:
Given volume of action figure box : 60 cu in,
The volume of larger box is as
length = 9,
width = 3,
height = 2, therefore volume = 9 X 3 X 2 X 60 cu cm = 3,240 cu in.
On Your Own
Question 3.
Use Structure A large box is packed with 6 rows of 8 boxes of dried cranberries in the bottom layer. The box is about 4 layers high. Estimate the volume of the large box if each box of dried cranberries has a volume of 16 cubic inches.
Answer:
Volume of larger box is 3,072 cubic inches,
Explanation:
Given a large box is packed with 6 rows of 8 boxes of dried cranberries in the bottom layer.
The box is about 4 layers high and the volume of the large box if each box of dried cranberries has a volume of 16 cubic inches is as length is 8, width is 6 and height is 4 so volume of the larger box is
8 X 6 X 4 X 16 cubic inches = 3,072 cubic inches.
Question 4.
Reason Boxes 1 and 2 are packed with small boxes that are all the same size. They each have a volume of about 8 cubic inches. How do the volumes of Box 1 and Box 2 compare?
Answer:
Volume of Box 1 = Box 2,
Explanation:
Given Boxes 1 and 2 are packed with small boxes that are all the same size. They each have a volume of about 8 cubic inches.
Volume of Box 1 of length 5, width 2 and
height 2 is 5 X 2 X 2 X 8 = 160 cubic inches,
Volume of Box 2 of length 5, width 4 and height 1 is 5 X 4 X 1 X 8 = 160 cubic inches,
As volume of Box 1 is equal to Volume of Box 2 so both are of equal volumes.
Estimate the volume of the large box.
Question 5.
Volume of jump rope box: 3 cu ft
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Answer:
135 cu ft,
Explanation:
Given volume of jump rope box: 3 cu ft,
The volume of larger box is as
length = 3,
width = 3,
height = 5, therefore volume =
3 X 3 X 5 X 3 cu cm = 135 cu ft.
Question 6.
The volume of pencil box: 25 cu cm
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Answer:
1,050 cu cm,
Explanation:
Given volume of pencil box: 25 cu cm,
The volume of larger box is as
length = 7,
width = 2,
height = 3, therefore volume =
7 X 2 X 3 X 25 cu cm = 1,050 cu cm.
I’m in a Learning Mindset!
Who should I talk with to learn more about estimating volume?
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Answer:
With experts,
Explanation:
I should talk to experts where I can learn more about estimating volume.