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Deriving the Formula for Volume of a Triangular Prism

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Deriving the Formula for Volume of a Triangular Prism

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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.

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.

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Deriving the Formula for Volume of a Triangular Prism

  1. 1. Where Does The Volume of a Triangular Prism Come From? @MathletePearce tapintoteenminds.com
  2. 2. Volume of a Rectangular Prism @MathletePearce tapintoteenminds.com
  3. 3. Volume of a Rectangular Prism @MathletePearce tapintoteenminds.com
  4. 4. Volume of a Rectangular Prism A = lw @MathletePearce tapintoteenminds.com
  5. 5. Volume of a Rectangular Prism A = lw V = lwh h @MathletePearce tapintoteenminds.com
  6. 6. Volume of a Triangular Prism V = lwh h A = lw 2 @MathletePearce tapintoteenminds.com
  7. 7. 2 Volume of a Triangular Prism V = lwh h A = 2 lw @MathletePearce tapintoteenminds.com
  8. 8. Volume of a Triangular Prism V = lwh h 2 A = lw 2 @MathletePearce tapintoteenminds.com
  9. 9. Volume of a Triangular Prism H V = H 2 @MathletePearce tapintoteenminds.com lw 2 bh A = bh
  10. 10. Volume of a Triangular Prism H V = H 2 @MathletePearce tapintoteenminds.com lw 2 bl A = bl
  11. 11. Volume of a Triangular Prism h V = h 2 @MathletePearce tapintoteenminds.com lw 2 bl A = bl
  12. 12. Volume of a Triangular Prism h V = h 2 @MathletePearce tapintoteenminds.com lw 2 bl A = bl
  13. 13. Volume of a Triangular Prism @MathletePearce tapintoteenminds.com lw
  14. 14. Volume of a Rectangular Prism A = lw @MathletePearce tapintoteenminds.com
  15. 15. 2 lw Triangular A = Volume of a Prism @MathletePearce tapintoteenminds.com
  16. 16. 2 Volume of a Triangular Prism lw A = length width @MathletePearce tapintoteenminds.com
  17. 17. Volume of a Triangular Prism lw A = 2 length width @MathletePearce tapintoteenminds.com
  18. 18. Volume of a Triangular Prism lw A = height base 2 @MathletePearce tapintoteenminds.com
  19. 19. Volume of a Triangular Prism A = bh height base 2 @MathletePearce tapintoteenminds.com
  20. 20. blh Volume of a Triangular Prism A = height bh 2 V = bh H 2 @MathletePearce tapintoteenminds.com
  21. 21. Volume of a Triangular Prism A = height bl 2 V = bl h 2 @MathletePearce tapintoteenminds.com bhH
  22. 22. Volume of a Triangular Prism A = height bl 2 V = bl h 2 @MathletePearce tapintoteenminds.com

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