deriving the formula for volume of a triangular prism

22

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

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This video shows the volume of a triangular prism in two ways; the first shows how we can divide a rectangular prism into two (2) pieces by cutting it vertically into two triangular prisms and thus we can do the same to the formula. We also look at the area of the base and how we get the area of a triangle to help guide us to the volume.

TRANSCRIPT

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

Where Does The Volume of a Triangular Prism Come From?

@MathletePearce tapintoteenminds.com

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

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

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

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

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

@MathletePearce tapintoteenminds.com

A = lwVolume of a Rectangular Prism

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

@MathletePearce tapintoteenminds.com

A = lw

hlwhV =

RectangularVolume of a Prism

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

@MathletePearce tapintoteenminds.com

hlwhV =

Volume of a PrismTriangular

2lwA =

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

@MathletePearce tapintoteenminds.com

hlwhV =

Volume of a PrismTriangular

2

2A = lw

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

@MathletePearce tapintoteenminds.com

hlwhV =

Volume of a PrismTriangular

22lwA =

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

@MathletePearce tapintoteenminds.com

H

lw

HV =

Volume of a PrismTriangular

22

bhbhA =

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

@MathletePearce tapintoteenminds.com

H

lw

HV =

Volume of a PrismTriangular

22

blblA =

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

@MathletePearce tapintoteenminds.com

h

lw

hV =

Volume of a PrismTriangular

22

blblA =

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

@MathletePearce tapintoteenminds.com

h

lw

hV =

Volume of a PrismTriangular

22

blblA =

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

@MathletePearce tapintoteenminds.com

lw

V =

Volume of a PrismTriangular

A =

Page 14: Deriving the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

A = lwVolume of a PrismRectangular

Page 15: Deriving the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

lwTriangular

A =Volume of a Prism

2

Page 16: Deriving the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

lw

Triangular

A =

Volume of a Prism

2

length

width

Page 17: Deriving the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

lwTriangular

A =Volume of a Prism

2length

width

Page 18: Deriving the Formula for Volume of a Triangular Prism

@MathletePearce tapintoteenminds.com

lwTriangular

A =Volume of a Prism

height

base

2

Page 19: Deriving the Formula for Volume of a Triangular Prism

A =

@MathletePearce tapintoteenminds.com

bhTriangularVolume of a Prism

height

base

2

Page 20: Deriving the Formula for Volume of a Triangular Prism

A =

@MathletePearce tapintoteenminds.com

TriangularVolume of a Prism

height

2bh

HV = 2

bh

hbl

Page 21: Deriving the Formula for Volume of a Triangular Prism

A =

@MathletePearce tapintoteenminds.com

TriangularVolume of a Prism

height

2bl

hV = 2

bl

Hbh

Page 22: Deriving the Formula for Volume of a Triangular Prism

A =

@MathletePearce tapintoteenminds.com

TriangularVolume of a Prism

height

2bl

hV = 2

bl

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