visualizing the formula for volume of a triangular prism

Post on 23-Dec-2014

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http://tapintoteenminds.com Accompanying Slide Deck for the Visualizing the Formula for Volume of a Triangular Prism video on YouTube (http://youtu.be/a8YLrKTer5M). We begin by using prior knowledge of the Volume of a Rectangular Prism Formula. By dividing the rectangular prism into two triangular prisms, we can see that we also divide the formula for the volume of a rectangular prism. All explanations are accompanied by animations to make understanding volume a visual experience.

TRANSCRIPT

Where Does The Volume of a Triangular Prism Come From?

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Volume of a Rectangular Prism

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A = lwVolume of a Rectangular Prism

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A = lw

hlwhV =

RectangularVolume of a Prism

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hlwhV =

Volume of a PrismTriangular

22lwA =

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H

lw

HV =

Volume of a PrismTriangular

22

bhbhA =

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h

lw

hV =

Volume of a PrismTriangular

22

blblA =

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h

lw

hV =

Volume of a PrismTriangular

22

blblA =

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A = lwVolume of a PrismRectangular

length

width

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lwTriangular

A =Volume of a Prism

2

A =

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bhTriangularVolume of a Prism

height

base

2

A =

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TriangularVolume of a Prism

height

2bh

HV = 2

bh

hbl

A =

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TriangularVolume of a Prism

height

2bl

hV = 2

bl

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