Standard #: MAFS.5.MD.3.3 (Archived Standard)

Students are asked to determine how a unit cube can be used to measure the volume of a rectangular prism.

Students analyze a rectangular prism that contains one layer of unit cubes and are asked to explain how to determine the volume of the entire prism using only the information given.

Students discuss the volume of a prism measured in cubic units with gaps between the unit cubes used to measure its volume.

When matter changes state, its properties change, too. In most cases, volume will increase when matter is melted from a solid to a liquid. Water is an exception, as its volume decreases when melted from ice to water. If matter is not added or removed, its mass will remain the same when it changes state. In this lesson, students will use if/then logical thinking to bridge the science and computer science concepts. This is lesson 2 of 3 in the States of Matter Unit.

Students will build "apartments" with centimeter cubes by packing boxes (template included).  In addition, they will use centimeter cubes to build a variety of rectangular prisms and record the area of the base (B) and height (h) on a worksheet.  They will use that information to complete the volume formula, V = B x h.  Students will think about how the volume changes as the height and base of rectangular prisms change.

In this lesson, students will learn the concept of volume as an attribute of solid figures, using unit cubes in various arrangements with a focus on rectangular prisms.

Students will recognize volume as an attribute of solid figures and understand concepts of volume measurement. They will measure volumes by counting unit cubes, using cubic centimeters and cubic inches.

This is the second part of a two-part volume lesson. In the first Building Rectangular Prisms (attached) lesson, foundational volume concepts are taught and students count cubes to find volume. In this lesson, students will discover the volume formulas length x width x height and base x height as they build rectangular prisms. They will use the formulas to find volume in real world situations.

In this lesson students will learn how to calculate and compare volumes of rectangular prisms.

This is the first part of a two-part volume lesson. In this lesson, students will build foundational concepts for volume and count cubes to find volume. In the second part lesson Building Rectangular Prisms Part 2 (attached), students will discover the volume formulas length x width x height and base x height as they build rectangular prisms. They will use the formulas to find volume in real world situations.

Help solve the problem of shipping video games and accessories to customers by calculating the volume of the containers needed in this interactive tutorial.

Build on your previous knowledge of area and learn how to calculate volume in cubic units with this interactive tutorial.

Demonstrate how a rectangular prism can be carefully filled without gaps or overlaps using the same size unit cubes and then use this model to determine its volume, in this interactive tutorial.

Students are asked to determine the number of unit cubes needed to construct cubes with given dimensions.

This purpose of this task is to help students understand what happens when you scale the dimensions of a right rectangular solid. This task provides an opportunity to compare the relative volumes of boxes in order to calculate the mass of clay required to fill them. These relative volumes can be calculated geometrically, filling the larger box with smaller boxes, or arithmetically using the given dimensions.

In this activity, students adjust the dimensions of either a rectangular or triangular prism and the surface area and volume are calculated for those dimensions. Students can also switch into compute mode where they are given a prism with certain dimensions and they must compute the surface area and volume. The application keeps score so students can track their progress. This application allows students to explore the surface area and volume of rectangular and triangular prisms and how changing dimensions affect these measurements. This activity also includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

This lesson is designed to introduce students to the concept of volume and how to find the volume of rectangular prisms. This lesson provides links to discussions and activities related to volume as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

This Khan Academy tutorial video describes measurement in one, two, and three dimensions.

In this interactive, self-guided unit on 3-dimensional shape, students (and teachers) explore 3-dimensional shapes, determine surface area and volume, derive Euler's formula, and investigate Platonic solids. Interactive quizzes and animations are included throughout, including a 15 question quiz for student completion.

Help solve the problem of shipping video games and accessories to customers by calculating the volume of the containers needed in this interactive tutorial.

Build on your previous knowledge of area and learn how to calculate volume in cubic units with this interactive tutorial.

Demonstrate how a rectangular prism can be carefully filled without gaps or overlaps using the same size unit cubes and then use this model to determine its volume, in this interactive tutorial.

Students are asked to determine the number of unit cubes needed to construct cubes with given dimensions.

This purpose of this task is to help students understand what happens when you scale the dimensions of a right rectangular solid. This task provides an opportunity to compare the relative volumes of boxes in order to calculate the mass of clay required to fill them. These relative volumes can be calculated geometrically, filling the larger box with smaller boxes, or arithmetically using the given dimensions.

This Khan Academy tutorial video describes measurement in one, two, and three dimensions.

Students are asked to determine the number of unit cubes needed to construct cubes with given dimensions.

This purpose of this task is to help students understand what happens when you scale the dimensions of a right rectangular solid. This task provides an opportunity to compare the relative volumes of boxes in order to calculate the mass of clay required to fill them. These relative volumes can be calculated geometrically, filling the larger box with smaller boxes, or arithmetically using the given dimensions.