Learn on PengienVision, Mathematics, Grade 5Chapter 11: Understand Volume Concepts

Lesson 4: Solve Word Problems Using Volume

In this Grade 5 lesson from enVision Mathematics Chapter 11, students apply the volume formula V = l × w × h to solve real-world word problems involving composite three-dimensional figures made of two rectangular prisms. Students practice decomposing irregular shapes into smaller rectangular prisms, calculating each section's volume separately, and combining the results to answer practical questions about capacity and space. The lesson builds fluency with multi-step volume problems using division and addition alongside the core volume formula.

Section 1

Solving Word Problems Using Volume

Property

Many real-world problems can be solved by first calculating the volume of an object and then using that volume to determine another quantity, such as cost, weight, or capacity.
This relationship can often be expressed with the formula:

Total Quantity=Volume×Rate \text{Total Quantity} = \text{Volume} \times \text{Rate}

where the rate is a value per unit of volume (e.g., cost/m³, weight/cm³).

Examples

Book overview

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Chapter 11: Understand Volume Concepts

  1. Lesson 1

    Lesson 1: Model Volume

  2. Lesson 2

    Lesson 2: Develop a Volume Formula

  3. Lesson 3

    Lesson 3: Combine Volumes of Prisms

  4. Lesson 4Current

    Lesson 4: Solve Word Problems Using Volume

Lesson overview

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Section 1

Solving Word Problems Using Volume

Property

Many real-world problems can be solved by first calculating the volume of an object and then using that volume to determine another quantity, such as cost, weight, or capacity.
This relationship can often be expressed with the formula:

Total Quantity=Volume×Rate \text{Total Quantity} = \text{Volume} \times \text{Rate}

where the rate is a value per unit of volume (e.g., cost/m³, weight/cm³).

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 11: Understand Volume Concepts

  1. Lesson 1

    Lesson 1: Model Volume

  2. Lesson 2

    Lesson 2: Develop a Volume Formula

  3. Lesson 3

    Lesson 3: Combine Volumes of Prisms

  4. Lesson 4Current

    Lesson 4: Solve Word Problems Using Volume