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Where Does The Volume of a Triangular Prism Come From? @MathletePearce tapintoteenminds.com

Visualizing the Formula for Volume of a Triangular Prism

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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.

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Page 1: Visualizing the Formula for Volume of a Triangular Prism

Where Does The Volume of a Triangular Prism Come From?

@MathletePearce tapintoteenminds.com

Page 2: Visualizing the Formula for Volume of a Triangular Prism

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

Page 3: Visualizing the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

A = lwVolume of a Rectangular Prism

Page 4: Visualizing the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

A = lw

hlwhV =

RectangularVolume of a Prism

Page 5: Visualizing the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

hlwhV =

Volume of a PrismTriangular

22lwA =

Page 6: Visualizing the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

H

lw

HV =

Volume of a PrismTriangular

22

bhbhA =

Page 7: Visualizing the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

h

lw

hV =

Volume of a PrismTriangular

22

blblA =

Page 8: Visualizing the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

h

lw

hV =

Volume of a PrismTriangular

22

blblA =

Page 9: Visualizing the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

A = lwVolume of a PrismRectangular

length

width

Page 10: Visualizing the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

lwTriangular

A =Volume of a Prism

2

Page 11: Visualizing the Formula for Volume of a Triangular Prism

A =

@MathletePearce tapintoteenminds.com

bhTriangularVolume of a Prism

height

base

2

Page 12: Visualizing the Formula for Volume of a Triangular Prism

A =

@MathletePearce tapintoteenminds.com

TriangularVolume of a Prism

height

2bh

HV = 2

bh

hbl

Page 13: Visualizing the Formula for Volume of a Triangular Prism

A =

@MathletePearce tapintoteenminds.com

TriangularVolume of a Prism

height

2bl

hV = 2

bl