Display Title
Math Example--Volume Concepts--Calculating Volume: Example 21
Display Title
Math Example--Volume Concepts--Calculating Volume: Example 21
Topic
Volume
Description
A hollow cube with an outer edge of 9 and an inner hollow region with an edge of 7. The image shows how to calculate the volume by subtracting the volume of the inner cube from the outer cube. This image illustrates Example 21: Find the volume of a hollow cube. The formula used is V = s13 - s23, where s1 is the outer edge (9) and s2 is the inner edge (7). The solution calculates 9^3 - 7^3 = 386..
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 |
