- 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.
- 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.
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
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Also Assesses:
- Assessment Limits :
Items may contain right rectangular prisms with whole-number side lengths. Figures may only be shown with unit cubes. Labels may include cubic units (i.e. cubic centimeters, cubic feet, etc.) or exponential units (i.e., cm3 , ft3 , etc.). Items requiring measurement of volume by counting unit cubes must provide a key of the cubic unit. - Calculator :
No
- Context :
Allowable
MAFS.5.MD.3.4
- Test Item #: Sample Item 1
- Question: Ellen is shopping for boxes. Which measurement should she use to determine the
amount the box will hold?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question:
A rectangular prism is shown.
What is the volume in cubic inches (in.), of the rectangular prism?
- Difficulty: N/A
- Type: EE: Equation Editor
- Test Item #: Sample Item 3
- Question:
Which prisms have a volume between 20 and 40 cubic units?
- Difficulty: N/A
- Type: MS: Multiselect
- Test Item #: Sample Item 4
- Question:
For which solid object can the volume be found only by counting the number of cubes?
- Difficulty: N/A
- Type: MC: Multiple Choice
Related Courses
Related Access Points
Related Resources
Formative Assessments
Lesson Plans
Original Student Tutorials
Problem-Solving Tasks
Teaching Idea
Tutorial
Unit/Lesson Sequence
MFAS Formative Assessments
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 are asked to determine how a unit cube can be used to measure the volume of a rectangular prism.
Students discuss the volume of a prism measured in cubic units with gaps between the unit cubes used to measure its volume.
Original Student Tutorials Mathematics - Grades K-5
Build on your previous knowledge of area and learn how to calculate volume in cubic units with this interactive tutorial.
Help solve the problem of shipping video games and accessories to customers by calculating the volume of the containers needed in 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.
Student Resources
Original Student Tutorials
Help solve the problem of shipping video games and accessories to customers by calculating the volume of the containers needed in this interactive tutorial.
Type: Original Student Tutorial
Build on your previous knowledge of area and learn how to calculate volume in cubic units with this interactive tutorial.
Type: Original Student 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.
Type: Original Student Tutorial
Problem-Solving Tasks
Students are asked to determine the number of unit cubes needed to construct cubes with given dimensions.
Type: Problem-Solving Task
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.
Type: Problem-Solving Task
Tutorial
This Khan Academy tutorial video describes measurement in one, two, and three dimensions.
Type: Tutorial
Parent Resources
Problem-Solving Tasks
Students are asked to determine the number of unit cubes needed to construct cubes with given dimensions.
Type: Problem-Solving Task
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.
Type: Problem-Solving Task