Engage NY Eureka Math 5th Grade Module 5 Lesson 8 Answer Key
Eureka Math Grade 5 Module 5 Lesson 8 Problem Set Answer Key
Using the box patterns, construct a sculpture containing at least 5, but not more than 7, rectangular prisms that meets the following requirements in the table below.
| 1. | My sculpture has 5 to 7 rectangular prisms. Number of prisms: ___6_________ | |
| 2. | Each prism is labeled with a letter, dimensions, and volume. | |
| Prism A __10________ by __________ by __________ Volume = __________
Prism B __________ by __________ by __________ Volume = __________ Prism C __________ by __________ by __________ Volume = __________ Prism D __________ by __________ by __________ Volume = __________ Prism E __________ by __________ by __________ Volume = __________ Prism __ __________ by __________ by __________ Volume = __________ Prism __ __________ by __________ by __________ Volume = __________ |
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| 3. | Prism D has \(\frac{1}{2}\) the volume of Prism ____. | Prism D Volume = __________
Prism ____ Volume = __________ |
| 4. | Prism E has \(\frac{1}{2}\) the volume of Prism ____. | Prism E Volume = __________
Prism ____ Volume = __________ |
| 5. | The total volume of all the prisms is 1,000 cubic centimeters or less. | Total volume: _________________
Show calculations: |
Eureka Math Grade 5 Module 5 Lesson 8 Exit Ticket Answer Key
Sketch a rectangular prism that has a volume of 36 cubic cm. Label the dimensions of each side on the prism. Fill in the blanks that follow.
Height: _______ cm
Length: _______ cm
Width: _______ cm
Volume: _______ cubic cm
Answer:
Height: 2 cm
Length: 6 cm
Width: 3 cm
Volume = length x width x height
= 6 x 3 x 2
= 36 cubic cm.
Eureka Math Grade 5 Module 5 Lesson 8 Homework Answer Key
Question 1.
I have a prism with the dimensions of 6 cm by 12 cm by 15 cm. Calculate the volume of the prism, and then give the dimensions of three different prisms that each have \(\frac{1}{3}\) of the volume.
|
|
Length | Width | Height |
Volume |
|
| Original Prism | 6 cm | 12 cm | 15 cm | ||
| Prism 1 | |||||
| Prism 2 | |||||
| Prism 3 |
Answer:
Question 2.
Sunni’s bedroom has the dimensions of 11 ft by 10 ft by 10 ft. Her den has the same height but double the volume. Give two sets of the possible dimensions of the den and the volume of the den.
Answer:
Given, the dimensions of Sunni’s bedroom = 11 ft by 10 ft by 10 ft
Volume = 11 x 10 x 10
= 1100 cubic feet
The den has same height but double volume
Now, the set of two possible dimensions of the den and its volume =
1.
20 x 10 x 10
Volume = 2200 cubic feet
2.
10 x 20 x 10
Volume = 2,200 cubic feet.