## 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 = __________ 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

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

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.

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.