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Visual proof to the volume formula of a pyramid

by --graffiti_maker_SG--, published

Visual proof to the volume formula of a pyramid by --graffiti_maker_SG-- Jul 10, 2016
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Sketchup

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417Views 114Downloads Found in Math

Summary

A model to help your geometry students visualize and understand the formula for the volume of a pyramid.

Print Settings

Printer Brand:

MakerBot

Printer:

MakerBot Replicator (5th Generation)

Supports:

Doesn't Matter

Resolution:

0.2

Infill:

10%


Notes:

Make sure to print 3 pyramids

How I Designed This

I used sketchup, I started with a square drew a line congruent to the side of the square perpendicular to square at a corner and drew diagonal lines from it. I made a little bigger to put them in

Project: Visual proof to the volume formula of a pyramid

project name:

Visual proof to the volume formula of a pyramid

Overview & Background:

: I am a student. I have recently taken geometry. I happen to be a visual special person so I loved it is definitely by far my favorite math. Some people in my class didn’t find it as easy as I did. I think this is for one main reason it is quite difficult to visualize all of these concepts in your head. They seemed to find it much easier when my teacher had visual models of these concepts. So I created a few 3D models of them. When I saw this challenge I decided I would publish one of them and this is the one I chose. It is a model depicting visually why the formula for the volume of a pyramid works. Although this model simplifies it a great deal it still illustrates the concept. The model is three congruent pyramids that fit together to create a cube. Since the formula for a pyramid’s volume is 1/3Bh and a cube is just Bh it is clear that the formula works

Objectives:

The objective is to demonstrate the formula of the volume of a pyramid

Audiences:

Geometry students

Subjects:

Geometry

Skills Learned (Standards):

The ability to find the volume of a pyramid and understand why it works.

Lesson/Activity:

Teach the formula of the volume of a pyramid but using this model as a visual aid.

Duration:

20 minutes

Preparation:

Print the model!

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Taught math for 6 years and my wife still does. Printing this right now, just cause it makes me smile. #Applications of Math and 3d printing. =) #win

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