Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

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

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http://tapintoteenminds.com Trying to learn where the Volume of a Rectangular Prism Formula Comes From? This slide deck leads you through a visual and algebraic example to better understand volume and the algebra we use in measurement. Check out the video on YouTube.

Transcript of Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

Page 1: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

Where Does The Volume of a Rectangular Prism Come From?

@MathletePearce tapintoteenminds.com

Page 2: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lw

Page 3: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lw

Page 4: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lw

Page 5: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =

lw

Page 6: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =

Page 7: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =lw

Page 8: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lw

length

Page 9: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lwlength

width

Page 10: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lw

Page 11: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lw2

Page 12: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lw22

Page 13: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A = lw2

2

Page 14: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =2

3

w2

Page 15: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =2

3

w2

3

Page 16: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =2

3

w2 3( )

Page 17: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =2

3

2 3( )

Page 18: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =2

3

6 units2

Page 19: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =4

Page 20: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =4

6

Page 21: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

A =4

6

24 units2

Page 22: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2A = lw

Page 23: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

Page 24: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

Volume of a Rectangular Prism

Page 25: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

Volume of a Rectangular PrismWith a Height of:

Page 26: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

With a Height of:

0Volume:

lw 0x 0

Volume of a Rectangular Prism

Page 27: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

With a Height of:

1Volume:

lw 1x 1

Volume of a Rectangular Prism

Page 28: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

With a Height of:

2Volume:

lw2

x 2

Volume of a Rectangular Prism

Page 29: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

With a Height of:

hVolume:

lwh

x h

Volume of a Rectangular Prism

Page 30: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

lw hx h

Volume of a Rectangular Prism

Page 31: Where Does Volume of a Rectangular Prism Come From? Deriving a Formula Visually

@MathletePearce tapintoteenminds.com

24 units2

A = lw

lw hh

Volume of a Rectangular Prism

V =


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