Deriving the Formula for Volume of a Triangular Prism

Post on 22-Jun-2015

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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

Where Does The Volume of a Triangular Prism Come From?

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Volume of a Rectangular Prism

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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

2lwA =

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hlwhV =

Volume of a PrismTriangular

2

2A = lw

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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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h

lw

hV =

Volume of a PrismTriangular

22

blblA =

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lw

V =

Volume of a PrismTriangular

A =

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A = lwVolume of a PrismRectangular

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lwTriangular

A =Volume of a Prism

2

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lw

Triangular

A =

Volume of a Prism

2

length

width

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lwTriangular

A =Volume of a Prism

2length

width

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lwTriangular

A =Volume of a Prism

height

base

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

Hbh

A =

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TriangularVolume of a Prism

height

2bl

hV = 2

bl