"Finding the Surface Area and Volume of Geometry" Projection and View PPT

Description

"Finding the Surface Area and Volume of Geometry" Projection and View PPT

Part One Content: Lesson Introduction

Below are three views of a combined figure. Please describe the shape of the object.

Find the surface area and volume of geometric bodies PPT, part 2 content: Gain new knowledge

Knowledge Points: Expanded Diagram of Geometry

An object is restored to the actual object based on the three-view geometric description, and then the expanded view of the geometry is imagined from the actual object.

Example 1 As shown in the figure is a three-view view of a geometric body, then the expanded view of this geometry can be () in the figure

Guide: From the three views, we can see that the geometry is a cylinder, its side expansion is a rectangle, and the expansion of the two bases is a circle, so choose A.

Summarize

From three-dimensional views to flat expansion diagrams, it is actually a jump in the middle, first from three-dimensional views to three-dimensional graphics, and then from three-dimensional graphics to flat expansion diagrams.

Knowledge point: Find the surface area and volume of the geometry represented by three views

Example 2 A factory needs to process a batch of sealed cans. The designer provides three views of the sealed cans (as shown in the picture). Please determine the area of ​​the steel plate required to make each sealed can according to the three views (dimension unit in the picture: mm).

Analysis: For some three-dimensional figures, by cutting along some of the lines (such as the edges of a prism), the surface of the three-dimensional figure can be unfolded into a plane figure - an expanded view. In actual production, three views and expanded views are often combined. Use together. The idea to solve this problem is to first imagine the shape of the sealed can from the three views, then further draw the expanded diagram, and then calculate the area.

Summarize

To calculate the surface area or volume of a geometric body from three views, you must first restore the geometry from three views, and then determine the composition of the surface area or the calculation method of the volume of the geometry. Finally use the formula to calculate.

Find the surface area and volume of a geometric body PPT, Part 3: Class summary

Knowledge summary

For the question of finding the surface area, volume and other related data of a geometric body from three views, first imagine the shape of the geometric body from the three views, and then use the relevant data in the three views to determine the relevant data of the three-dimensional figure.

Keywords: Free download of PPT courseware for mathematics in the second volume of the ninth grade of the People's Education Press, PPT download of finding the surface area and volume of a geometric body, PPT download of projection and view, .PPT format;

For more information about the PPT courseware "Calculating the Surface Area and Volume of a Geometry with Projection and View", please click on the PPT tab of "Calculating the Surface Area and Volume of a Geometry with Projection and View PPT".

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Update Time: 2024-11-04

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 2 industry PPT template

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