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Math Example--Volume Concepts--Calculating Volume: Example 9

Math Example--Volume Concepts--Calculating Volume: Example 9

Math Example--Volume Concepts--Calculating Volume: Example 9

Topic

Volume

Description

 

A green cylinder with a radius of 10 units and a height of 8 units. The radius is marked on the top surface, and the height is marked on the side. This image illustrates Example 9: The task is to find the volume of the cylinder. The volume formula V = πr2h is used. Substituting the values r = 10 and h = 8, the volume is calculated as V= 800π.

Volume is a fundamental concept in geometry that helps students understand the space occupied by three-dimensional objects. In this collection, each example uses various geometric shapes to calculate volume, showcasing real-life applications of volume in different shapes.

Seeing multiple worked-out examples allows students to observe different approaches and nuances in calculations, which reinforces their understanding of volume across shapes.

Teacher's Script: Observe this example carefully. Notice the steps taken to find the volume of this particular shape. Can you see how each dimension--length, width, and height--plays a role in determining the overall volume? How might you apply this to other shapes?

For a complete collection of math examples related to Volume click on this link: Math Examples: Volume Collection.

Common Core Standards CCSS.MATH.CONTENT.6.G.A.2, CCSS.MATH.CONTENT.7.G.B.6, CCSS.MATH.CONTENT.8.G.C.9, CCSS.MATH.CONTENT.5.MD.C.4, CCSS.MATH.CONTENT.5.MD.C.5.A, CCSS.MATH.CONTENT.5.MD.C.5.B, CCSS.MATH.CONTENT.5.MD.C.5.C
Grade Range 5 - 8
Curriculum Nodes Geometry
    • Surface Area and Volume
        • Volume
Copyright Year 2013
Keywords volume