MA.5.GR.3.3

Solve real-world problems involving the volume of right rectangular prisms, including problems with an unknown edge length, with whole-number edge lengths using a visual model or a formula. Write an equation with a variable for the unknown to represent the problem.

Examples

A hydroponic box, which is a rectangular prism, is used to grow a garden in wastewater rather than soil. It has a base of 2 feet by 3 feet. If the volume of the box is 12 cubic feet, what would be the depth of the box?

Clarifications

Clarification 1: Instruction progresses from right rectangular prisms to composite figures composed of right rectangular prisms.

Clarification 2: When finding the volume of composite figures composed of right rectangular prisms, recognize volume as additive by adding the volume of non-overlapping parts.

Clarification 3: Responses include the appropriate units in word form.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 5
Strand: Geometric Reasoning
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.5.GR.3.AP.3: Solve real-world problems involving the volume of right rectangular prisms with given whole-number edge lengths using a visual model or formula.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Using Additive Reasoning When Finding Volume:

Students are asked to find the volumes of solids composed of rectangular prisms.

Type: Formative Assessment

Determining Dimensions:

Students are given the total volume of a rectangular prism and constraints on one dimension and asked to provide dimensions that would fit the constraints.

Type: Formative Assessment

Lesson Plans

Lunchbox Volume:

This lesson focuses on the application of volume knowledge.  Students will need to add the volumes of individual right rectangular prisms to find total volumes.

Type: Lesson Plan

Getting the Top Mini-Fridge not a Small Deal:

In this MEA, students will create a procedure to rank five mini-refrigerators to determine which one should be purchased for the school by the PTA based on size, type, features, energy usage, and cost.  In the process, students will solve real-world problems involving the multiplication of multi-digit numbers with decimals to the hundredths, including using money.  Students will also determine the volume of a rectangular prism using a formula.

Type: Lesson Plan

Formulating Volume:

Students will use situational stories to help them apply the formulas V = l × w × h and V = B × h  to find the volumes of right rectangular prisms with whole-number edge lengths.

Type: Lesson Plan

Problem-Solving Tasks

Computing Volume Progression 2:

Students are asked to find the volume of water in a tank that is 3/4 of the way full.

Type: Problem-Solving Task

Computing Volume Progression 3:

Students are asked to find the height of a rectangular prism when given the length, width and volume.

Type: Problem-Solving Task

Computing Volume Progression 4:

Students are asked to apply knowledge of volume of rectangular prisms to find the volume of an irregularly shaped object using the principle of displacement.

Type: Problem-Solving Task

Tutorial

Volume: Decomposing a Solid Figure Example:

This Khan Academy tutorial video illustrates finding the volume of an irregular figure made up of unit cubes by separating the figure into two rectangular prisms and finding the volume of each part.

Type: Tutorial

STEM Lessons - Model Eliciting Activity

Getting the Top Mini-Fridge not a Small Deal:

In this MEA, students will create a procedure to rank five mini-refrigerators to determine which one should be purchased for the school by the PTA based on size, type, features, energy usage, and cost.  In the process, students will solve real-world problems involving the multiplication of multi-digit numbers with decimals to the hundredths, including using money.  Students will also determine the volume of a rectangular prism using a formula.

MFAS Formative Assessments

Determining Dimensions:

Students are given the total volume of a rectangular prism and constraints on one dimension and asked to provide dimensions that would fit the constraints.

Using Additive Reasoning When Finding Volume:

Students are asked to find the volumes of solids composed of rectangular prisms.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Problem-Solving Tasks

Computing Volume Progression 2:

Students are asked to find the volume of water in a tank that is 3/4 of the way full.

Type: Problem-Solving Task

Computing Volume Progression 3:

Students are asked to find the height of a rectangular prism when given the length, width and volume.

Type: Problem-Solving Task

Computing Volume Progression 4:

Students are asked to apply knowledge of volume of rectangular prisms to find the volume of an irregularly shaped object using the principle of displacement.

Type: Problem-Solving Task

Tutorial

Volume: Decomposing a Solid Figure Example:

This Khan Academy tutorial video illustrates finding the volume of an irregular figure made up of unit cubes by separating the figure into two rectangular prisms and finding the volume of each part.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Problem-Solving Tasks

Computing Volume Progression 2:

Students are asked to find the volume of water in a tank that is 3/4 of the way full.

Type: Problem-Solving Task

Computing Volume Progression 3:

Students are asked to find the height of a rectangular prism when given the length, width and volume.

Type: Problem-Solving Task

Computing Volume Progression 4:

Students are asked to apply knowledge of volume of rectangular prisms to find the volume of an irregularly shaped object using the principle of displacement.

Type: Problem-Solving Task