## Engage NY Eureka Math 5th Grade Module 5 Lesson 9 Answer Key

### Eureka Math Grade 5 Module 5 Lesson 9 Problem Set Answer Key

I reviewed project number 21.
Use the rubric below to evaluate your friend’s project. Ask questions and measure the parts to determine whether your friend has all the required elements. Respond to the prompt in italics in the third column.
The final column can be used to write something you find interesting about that element if you like.
Space is provided beneath the rubric for your calculations.

 Requirement Element Present? (✓) Specifics of Element Notes 1. The sculpture has 5 to 7 prisms. ✓ # of prisms: 5 2. All prisms are labeled with a letter. ✓ Write letters used: A to D 3. All prisms have correct dimensions with units written on the top. ✓ List any prisms with incorrect dimensions or units: 4. All prisms have correct volume with units written on the top. ✓ List any prism with incorrect dimensions or units: 5. Prism D has $$\frac{1}{2}$$ the volume of another prism. ✓ Record on next page: 6. Prism E has $$\frac{1}{2}$$ the volume of another prism. ✓ Record on next page: 7. The total volume of all the parts together is 1,000 cubic units or less. ✓ Total volume: 650 CUBIC CM.

Calculations:

36 + 420 + 36 + 18 + 140 = 650 cubic centimetres.

Question 8.
Measure the dimensions of each prism. Calculate the volume of each prism and the total volume. Record that information in the table below. If your measurements or volume differ from those listed on the project, put a star by the prism label in the table below, and record on the rubric.

 Prism Dimensions Volume A 6 cm by 3 cm by 2 cm 36 cubic cm B 10 cm by 7 cm by 6 cm 420 cubic cm C 6 cm by 3 cm by 2 cm 36 cubic cm D 6 cm by 3 cm by 1 cm 18 cubic cm E 10 cm by 7 cm by 2 cm 140 cubic cm _______ by _______ by _______ _______ by _______ by _______

Question 9.
Prism D’s volume is $$\frac{1}{2}$$ that of Prism __________.
Show calculations below.

prisms D volume is 1/2 that of prism A or C

36 cu. cm/ 2 = 18

Both the prisms A and C have the same value of 36 cubic centimetres

Question 10.
Prism E’s volume is $$\frac{1}{3}$$ that of Prism __________.
Show calculations below.

Prism E volume is 1/3 that of prism B

420 cu. cm / 3 = 140 cu. cm

prism E’s volume of 140 cu cm is 1/3 of prism B’s volume.

Question 11.
Total volume of sculpture: __________.
Show calculations below.

Total volume of sculpture = 650 cubic centimetres

36 + 420+ 36 + 18 + 140 = 650

Therefore, the total volume = 650 sq. cm

### Eureka Math Grade 5 Module 5 Lesson 9 Exit Ticket Answer Key

A student designed this sculpture. Using the dimensions on the sculpture, find the dimensions of each rectangular prism. Then, calculate the volume of each prism.
a. Rectangular Prism Y

Height: ______________ inches
Length: ______________ inches
Width: ______________ inches
Volume: ______________ cubic inches

Height: 12  inches
Length: 4 inches
Width: 6 inches
Volume: 228 cubic inches

b. Rectangular Prism Z

Height: ______________ inches
Length: ______________ inches
Width: ______________ inches
Volume: ______________ cubic inches

Height: 18 inches
Length: 10 inches
Width: 10 inches
Volume: 1800 cubic inches

c. Find the total volume of the sculpture. Label the answer.

Total volume of sculpture =

V = 1800 + 288

V = 2088

Therefore, the total volume of sculpture = 2088 cubic meters.

### Eureka Math Grade 5 Module 5 Lesson 9 Homework Answer Key

Question 1.
Find three rectangular prisms around your house. Describe the item you are measuring (cereal box, tissue box, etc.), and then measure each dimension to the nearest whole inch, and calculate the volume.
a. Rectangular Prism A
Item:
Height: ______________ inches
Length: ______________ inches
Width: ______________ inches
Volume: ______________ cubic inches

Height: 6 inches
Length: 2 inches
Width:  3 inches
Volume: 36 cubic inches

b. Rectangular Prism B
Item:
Height: ______________ inches
Length: ______________ inches
Width: ______________ inches
Volume: ______________ cubic inches

Item: Cereal box
Height: 7 inches
Length: 5 1/2 inches
Width: 1 1/2 inches
Volume:  72 cubic inches

c. Rectangular Prism C
Item:
Height: ______________ inches
Length: ______________ inches
Width: ______________ inches
Volume: ______________ cubic inches

Item: Flour mix box
Height: 8 inches
Length: 2 1/2 inches
Width: 1 1/2  inches
Volume: 10 cubic inches