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

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

Question 1.
Determine the volume of two boxes on the table using cubes, and then confirm by measuring and multiplying.

 Box Number Number of Cubes Packed Measurements Length               Width              Height Volume

Question 2.
Using the same boxes from Problem 1, record the amount of liquid that your box can hold.

 Box Number Liquid the Box Can Hold mL mL

Question 3.
Shade to show the water in the beaker.

Question 4.
What conclusion can you draw about 1 cubic centimeter and 1 mL?

When 1 cubic centimeter is added the water level raised by 1 millimetres.

Therefore, 1 cubic cm. is equal to 1 ml

Question 5.
The tank, shaped like a rectangular prism, is filled to the top with water.

Will the graduated cylinder hold all the water in the tank? If yes, how much more will the beaker hold? If no, how much more will the tank hold than the beaker? Explain how you know.

No, The beaker cannot hold all the water in the tank

Explanation :

Given, the measurements of the tank are

length = 8 cm, width = 13 cm and height = 10 cm

Now, the volume of tank = length x width x height

V= 8 x 13 x 10

V = 1,040 cubic centimetres.

Given, the capacity of the beaker = 1 liter

1 liter = 1000 millilitres

1,040 – 1000 = 40

Therefore, the  tank can hold 40 ml more than the beaker.

Question 6.
A rectangular fish tank measures 26 cm by 20 cm by 18 cm. The tank is filled with water to a depth of 15 cm.
a. What is the volume of the water in mL?
b. How many liters is that?
c. How many more mL of water will be needed to fill the tank to the top? Explain how you know.

a.

Given, the measurements of the fish tank  are 26 cm 20 cm and 18

Volume = length x breadth x height of water

V = 26 x 20 x 15

V = 7,800 cubic cm.

V = 7800 ml

Therefore, the volume of water = 7800 ml

b.

We know that, 1 litre = 1000 millilitres

Now, 7,800/ 100

= 7.8 litres

Therefore, the amount of water = 7.8 litres

c.

Volume = length x width x height

V = 26 x 20 x 3

V  = 1560 ml

Therefore, the remaining part = 26 x 20 x 3

Question 7.
A rectangular container is 25 cm long and 20 cm wide. If it holds 1 liter of water when full, what is its height?

Volume =

25 x 20 = 500 sq. cm

The quantity of container = 1 litre

1 litre = 1000 millilitres

1000 / 500 = 2

Therefore, the height of the container = 2 cm

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

a. Find the volume of the prism.
b. Shade the beaker to show how much liquid would fill the box.

Volume = length x width x height

V= 15 x 5 x 3

V = 225 cubic centimetres.

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

Question 1.
Johnny filled a container with 30 centimeter cubes. Shade the beaker to show how much water the container will hold. Explain how you know.

Question 2.
A beaker contains 250 mL of water. Jack wants to pour the water into a container that will hold the water. Which of the containers pictured below could he use? Explain your choices.

Volume of container A= 12 x 12 x 6 = 864 cubic. cm

Volume of container B = 20 sq. cm x 12 = 240 cubic. cm

Volume of container C = 25 cm x 5 cm x 2 cm = 250 cubic cm.

Volume of container E = 75 sq. cm x 3 = 225 cubic cm.

Therefore, both A and C can hold 250 ml of water.

Question 3.
On the back of this paper, describe the details of the activities you did in class today. Include what you learned about cubic centimeters and milliliters. Give an example of a problem you solved with an illustration.