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Deriving the Formula for Volume of a Triangular Prism

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Kyle Pearce
Kyle Pearce

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.

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