What are two situations in which you would want to know the volume of something?

How are area and volume alike and different?

How many different ways can you pack twelve brownies, all the same size, to fit into a box?

A box has the dimensions of 5 cm x 2 cm x 4 cm. Can you create a box with different dimensions but that holds the same number of cubic centimeters (volume)?

I packed 24 centimeter cubes inside of a container. What might the dimensions of the container be? What are other possible dimensions?

Draw two solid figures that each have a volume of 25 cubic units.

About the Math

Essential vocabulary for this standard includes: volume, unit, cube, and cubic units(online dictionary, visual math dictionary). The Illustrative Mathematics task below demonstrates expectation for this standard.

## Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A. A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.B. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.A. A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

B. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

A. A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

B. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

Increasing Rigor

Essential vocabulary for this standard includes:About the Mathvolume, unit, cube,andcubic units(online dictionary, visual math dictionary).The Illustrative Mathematics task below demonstrates expectation for this standard.

Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)Teaching Student-Centered Mathematics(Grades 3-5)pg. 285 - *Figure 9.25 and paragraph 2## Learnzillion Video Resources (6 Lessons with 5.MD.4)

Additional Lesson Sets from Learnzillion:Print Resources:for Mathematics 4-5 (107-109)

Volume of a Rectangular Solid

Web Resources:(MSDE Lesson Seed)

## Questions/Comments:

Contact John SanGiovanni at jsangiovanni@hcpss.org.Use and Sharing of HCPSS Website and ResourcesHoward County Public Schools Office of Elementary Mathematics Curricular Projects has licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.IXL: Volume of Rectangular Prisims made of Unit Cubes