Deriving the Formula for Volume of a Triangular Prism

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The document discusses the volume formula for a triangular prism. It begins by reviewing the volume formula for a rectangular prism, which is length times width times height. It then derives the volume formula for a triangular prism, which is (1/2) times the base times height times length. The document works through various representations of the area of the triangular base and confirms the volume formula for a triangular prism is (1/2) times the base times height times length.

Bildung

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

Volume of a Rectangular Prism
@MathletePearce tapintoteenminds.com

Volume of a Rectangular Prism
A = lw
@MathletePearce tapintoteenminds.com

Volume of a Rectangular Prism
A = lw
V = lwh h
@MathletePearce tapintoteenminds.com

Volume of a Triangular Prism
V = lwh h
A = lw
2
@MathletePearce tapintoteenminds.com

2
Volume of a Triangular Prism
V = lwh h
A = 2 lw
@MathletePearce tapintoteenminds.com

Volume of a Triangular Prism
V = lwh h
2
A = lw
2
@MathletePearce tapintoteenminds.com

Volume of a Triangular Prism
H
V = H
2
@MathletePearce tapintoteenminds.com
lw
2
bh
A = bh

Volume of a Triangular Prism
H
V = H
2
@MathletePearce tapintoteenminds.com
lw
2
bl
A = bl

Volume of a Triangular Prism
@MathletePearce tapintoteenminds.com
lw

2
lw Triangular A = Volume of a Prism
@MathletePearce tapintoteenminds.com

2
Volume of a Triangular
Prism
lw
A =
length
width
@MathletePearce tapintoteenminds.com

Volume of a Triangular
Prism
lw
A =
2 length
width
@MathletePearce tapintoteenminds.com

Volume of a Triangular
Prism
lw
A =
height
base
2
@MathletePearce tapintoteenminds.com

Volume of a Triangular Prism
A =
bh
height
base
2
@MathletePearce tapintoteenminds.com

blh
Volume of a Triangular Prism
A =
height
bh
2
V = bh
H
2
@MathletePearce tapintoteenminds.com

Volume of a Triangular Prism
A =
height
bl
2
V = bl
h
2
@MathletePearce tapintoteenminds.com
bhH

Volume of a Triangular Prism
A =
height
bl
2
V = bl
h
2
@MathletePearce tapintoteenminds.com

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Deriving the Formula for Volume of a Triangular Prism

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

2. Volume of a Rectangular Prism @MathletePearce tapintoteenminds.com

3. Volume of a Rectangular Prism @MathletePearce tapintoteenminds.com

4. Volume of a Rectangular Prism A = lw @MathletePearce tapintoteenminds.com

5. Volume of a Rectangular Prism A = lw V = lwh h @MathletePearce tapintoteenminds.com

6. Volume of a Triangular Prism V = lwh h A = lw 2 @MathletePearce tapintoteenminds.com

7. 2 Volume of a Triangular Prism V = lwh h A = 2 lw @MathletePearce tapintoteenminds.com

8. Volume of a Triangular Prism V = lwh h 2 A = lw 2 @MathletePearce tapintoteenminds.com

9. Volume of a Triangular Prism H V = H 2 @MathletePearce tapintoteenminds.com lw 2 bh A = bh

10. Volume of a Triangular Prism H V = H 2 @MathletePearce tapintoteenminds.com lw 2 bl A = bl

11. Volume of a Triangular Prism h V = h 2 @MathletePearce tapintoteenminds.com lw 2 bl A = bl

12. Volume of a Triangular Prism h V = h 2 @MathletePearce tapintoteenminds.com lw 2 bl A = bl

13. Volume of a Triangular Prism @MathletePearce tapintoteenminds.com lw

14. Volume of a Rectangular Prism A = lw @MathletePearce tapintoteenminds.com

15. 2 lw Triangular A = Volume of a Prism @MathletePearce tapintoteenminds.com

16. 2 Volume of a Triangular Prism lw A = length width @MathletePearce tapintoteenminds.com

17. Volume of a Triangular Prism lw A = 2 length width @MathletePearce tapintoteenminds.com

18. Volume of a Triangular Prism lw A = height base 2 @MathletePearce tapintoteenminds.com

19. Volume of a Triangular Prism A = bh height base 2 @MathletePearce tapintoteenminds.com

20. blh Volume of a Triangular Prism A = height bh 2 V = bh H 2 @MathletePearce tapintoteenminds.com

21. Volume of a Triangular Prism A = height bl 2 V = bl h 2 @MathletePearce tapintoteenminds.com bhH

22. Volume of a Triangular Prism A = height bl 2 V = bl h 2 @MathletePearce tapintoteenminds.com

Deriving the Formula for Volume of a Triangular Prism

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Deriving the Formula for Volume of a Triangular Prism