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Table of Contents
We learned in previous modules that one could get the volume of an object by counting the number of cubic units that can fit inside that object. In this module, we will be learning another way of obtaining volume — by using formulas.
See the fact file below for more information on the Measurements and Data: Volume by Multiplication or alternatively, you can download our 27-page Measurements and Data: Volume by Multiplication CCSS 5.MD.5 worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
LEARNING OBJECTIVE:
- At the end of this module, students will be able to obtain the volume of an object given its dimensions; students will be able to relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume.
A NOTE FOR THE TEACHER
- When multiplying to get volume, take note of the following:
- For regular objects: simply multiply length x width x height to get the volume
- For irregular objects: try to split the object into two regular objects and add their individual volumes
THEORY:
- We learned in previous modules that one could get the volume of an object by counting the number of cubic units that can fit inside that object. In this module, we will be learning another way of obtaining volume — by using formulas. There are two formulas we can use to obtain the volume of an object given its dimensions (i.e., length, width, and height)
V = lΒ xΒ wΒ xΒ Β Β Β Β Β Β Β h V = aΒ xΒ h
- In the equations, l represents the length, w represents the width, h represents height, and A represents the area of the base. In the first equation multiplying an objectβs dimensions will give you its volume, and in the second equation, multiplying the area of the base by the height will also give you the same answer. In the second equation, recall that area is just length x width, so in essence, equations 1 and 2 are the same.
- For example, the volume of the two figures down below is the same. For the first figure, 3 in x 4 in x 5 in will give us 60 in3, and for the second figure, the area of the base 12 in2, times the height 5 in, will also give us 60 in3.
- For objects with an irregular shape, it helps to split the shape into two regular shapes. Get the volume of each, and then add the two to get the total volume.
Measurements and Data: Volume by Multiplication CCSS 5.MD.5 Worksheets
This is a fantastic bundle that includes everything you need to know about Measurements and Data: Volume by Multiplication across 27 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 5.MD.5 for Measurements and Data: Volume by Multiplication.
Table of contents
- A lesson plan
- Warm up activity
- Math theory explained
- Assisted learning activities
- Independent learning activities
- Extension activities and games
- Answer keys
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Use With Any Curriculum
These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.