Display Title
Math Example--Volume Concepts--Calculating Volume: Example 15
Display Title
Math Example--Volume Concepts--Calculating Volume: Example 15
Topic
Volume
Description
A truncated rectangular-based pyramid is shown with two different base areas: one at the bottom (10 by 8) and one virtual smaller pyramid on top (4 by 3). Heights are given as 50 and 20. The image demonstrates how to find the volume by subtracting the virtual pyramid's volume from the full pyramid's volume. This image illustrates Example 15: The caption shows how to calculate the volume of a truncated pyramid by subtracting the volume of the virtual pyramid from the un-truncated pyramid. Formula: V = (1/3) * Area of Base1 * h1 - (1/3) * Area of Base2 * h2, leading to V ͌ 1253.33 after substituting values.
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 |
