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Volume (Packing and Filling)

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Common Core For Grade 5

Videos, examples, solutions, and lessons to help Grade 5 students learn how to use multiplication to connect volume as packing with volume as filling.

New York State Common Core Math Module 5, Grade 5, Lesson 5
Worksheets for Grade 5

Common Core Standards: 5.MD.3, 5.MD.5

Lesson 5 Concept Development

Problem 1
Investigate 1 cm3 = 1 mL.
What are some ways that we can determine the volume of the box you've been given using the materials on your table?

Lesson 5 Problem Set

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

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

3. Shade to show the water in the beaker.

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

Lesson 5 Homework

This video shows how to convert volume measurements of cubic centimeters with milliliters using rectagular prisms.

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.

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. Lesson 5 Homework

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.

(Problem Set) 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.
d. A rectangular container is 25 cm long and 20 cm wide. If it holds 1 liter of water when full, what is its height?

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