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Finding Volume Measurement of Solid Figures by Adding Component Parts

written by: Donna Ventura • edited by: Michele McDonough • updated: 11/30/2013

Students will find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the figures. Go to the end of this article to download this lesson plan and an overall assessment that you can use in your classroom.

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    Lesson Objective: The lesson is aligned to the Common Core State Standards for Mathematics – 5MD.5c Geometric Measurement – Recognize volume as additive.

    Materials Required: unit cubes, sugar cubes, blocks, calculator

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    Lesson Procedure

    Adding Volumes of Rectangular Figures

    Solid composed of rectangular prisms The solid figure shown to the right is composed of two non-overlapping right rectangular prisms. Find the volume of each prism. Then add the two volumes to find the volume of the solid figure.

    1. One rectangular prism has a length of 3 units, width of 2 units, and a height of 1 unit. What is the volume of this rectangular prism? Show how you found your answer.

    2. The other rectangular prism has a length of 1 unit, width of 2 units, and a height of 2 units. What is the volume of this rectangular prism? Show how you found your answer.

    3. Add the volumes of the two rectangular prisms to find the volume of the solid figure. What is the volume of the solid figure? Show how you found your answer.

    Answers:

    1. 3 x 2 x 1 = 6 cubic units
    2. 1 x 2 x 2 = 4 cubic units
    3. 6 + 4 = 10 cubic units
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    Individual or Group Work

    Individual or Group Work 

    Each of the solid figures in the table above is composed of two rectangular prisms. Find the volumes of each of the solid figures by adding the volumes of the two rectangular prisms. Complete the chart to show the volumes of the rectangular prisms and the volumes of the solid figures.

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    Answers

    Answers 

    Students should be able to find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the figures.

    Downloads:

Finding Volume Measurement With Unit Cubes

This collection of fifth grade lesson plans focuses on teaching the concept of the unit cube and how it can be used to develop volume measurement formulas. All lessons meet Common Core objectives.
  1. Finding Volume Measurement: Understanding the Unit Cube Concept
  2. Measuring Volume by Counting Unit Cubes
  3. Relating the Counting of Unit Cubes to Multiplication and Addition
  4. Finding Volume Measurement with Formulas
  5. Finding Volume Measurement of Solid Figures by Adding Component Parts

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