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

Lesson 3: Combine Volumes of Prisms

In this Grade 5 enVision Mathematics lesson from Chapter 11, students learn how to find the volume of composite solid figures by decomposing them into two or more rectangular prisms and applying the formula V = l × w × h to each part. Students practice identifying the dimensions of each prism, calculating individual volumes, and adding the results to determine the total volume of the combined figure.

Section 1

Volume of Composite Solids by Addition

Property

The total volume of a composite solid is the sum of the volumes of its non-overlapping component prisms. If a solid is composed of two prisms, its total volume VtotalV_{\text{total}} is found by adding the volume of the first prism, V1V_1, to the volume of the second prism, V2V_2.

Vtotal=V1+V2V_{\text{total}} = V_1 + V_2

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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 3Current

    Lesson 3: Combine Volumes of Prisms

  4. Lesson 4

    Lesson 4: Solve Word Problems Using Volume

Lesson overview

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Section 1

Volume of Composite Solids by Addition

Property

The total volume of a composite solid is the sum of the volumes of its non-overlapping component prisms. If a solid is composed of two prisms, its total volume VtotalV_{\text{total}} is found by adding the volume of the first prism, V1V_1, to the volume of the second prism, V2V_2.

Vtotal=V1+V2V_{\text{total}} = V_1 + V_2

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 3Current

    Lesson 3: Combine Volumes of Prisms

  4. Lesson 4

    Lesson 4: Solve Word Problems Using Volume