Display Title
Math Example--Volume Concepts--Calculating Volume: Example 22
Display Title
Math Example--Volume Concepts--Calculating Volume: Example 22
Topic
Volume
Description
A hollow cube with an outer edge of x and an inner hollow region with an edge of x - 2. The image shows how to calculate the volume by subtracting the volume of the inner cube from the outer cube. This image illustrates Example 22: Find the volume of a hollow cube. The formula used is V = s13 - s23, where s1 = x and s2 = x - 2. Expanding and simplifying gives V = 6x2 - 12x + 8.
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 |
