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

Post on 08-Jul-2015

298 views 3 download

Tags:

description

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

Where Does The Volume of a Rectangular Prism Come From?

@MathletePearce tapintoteenminds.com

@MathletePearce tapintoteenminds.com

A = lw

@MathletePearce tapintoteenminds.com

A = lw

@MathletePearce tapintoteenminds.com

A = lw

@MathletePearce tapintoteenminds.com

A =

lw

@MathletePearce tapintoteenminds.com

A =

@MathletePearce tapintoteenminds.com

A =lw

@MathletePearce tapintoteenminds.com

A = lw

length

@MathletePearce tapintoteenminds.com

A = lwlength

width

@MathletePearce tapintoteenminds.com

A = lw

@MathletePearce tapintoteenminds.com

A = lw2

@MathletePearce tapintoteenminds.com

A = lw22

@MathletePearce tapintoteenminds.com

A = lw2

2

@MathletePearce tapintoteenminds.com

A =2

3

w2

@MathletePearce tapintoteenminds.com

A =2

3

w2

3

@MathletePearce tapintoteenminds.com

A =2

3

w2 3( )

@MathletePearce tapintoteenminds.com

A =2

3

2 3( )

@MathletePearce tapintoteenminds.com

A =2

3

6 units2

@MathletePearce tapintoteenminds.com

A =4

@MathletePearce tapintoteenminds.com

A =4

6

@MathletePearce tapintoteenminds.com

A =4

6

24 units2

@MathletePearce tapintoteenminds.com

24 units2A = lw

@MathletePearce tapintoteenminds.com

24 units2

A = lw

@MathletePearce tapintoteenminds.com

24 units2

A = lw

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

24 units2

A = lw

Volume of a Rectangular PrismWith a Height of:

@MathletePearce tapintoteenminds.com

24 units2

A = lw

With a Height of:

0Volume:

lw 0x 0

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

24 units2

A = lw

With a Height of:

1Volume:

lw 1x 1

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

24 units2

A = lw

With a Height of:

2Volume:

lw2

x 2

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

24 units2

A = lw

With a Height of:

hVolume:

lwh

x h

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

24 units2

A = lw

lw hx h

Volume of a Rectangular Prism

@MathletePearce tapintoteenminds.com

24 units2

A = lw

lw hh

Volume of a Rectangular Prism

V =