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

Lesson overview

Expand to review the lesson summary and core properties.

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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