Finding Volume

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  • crokett
    The Full Monte
    • Jan 2003
    • 10627
    • Mebane, NC, USA.
    • Ryobi BT3000

    #1

    Finding Volume

    Need some help. I have a wedge-shaped area that I need to find volume. Length is 19', width is 13. Deep end is 20" and shallow end is 3". I was thinking trapezoid, so used an online calculator. The units weren't specified. I assumed feet and entered that. I divided the result by 27 and came out with about 8.5 yards. That sound right? I'd also like to find the volume of the dirt pile I have to see if I need more.
    David

    The chief cause of failure in this life is giving up what you want most for what you want at the moment.
  • gmack5
    Veteran Member
    • Dec 2002
    • 1972
    • Quapaw, Oklahoma, USA.
    • Ryobi BT3000SX & BT3100

    #2
    Break it up to solve the area

    Break it up into regular geometric shapes is the best way. It sounds like you have a rectangle and a Triangle to work with. Are there two 90 degree corners in the figure?

    If so, then you can use the height and length of the Rectangular portion, then calculate the Triangle and add them together.

    For the volume, once you've calculated the area of the irregular shape, just multiply by the other dimension of the object and you've got it.
    Stop thinking why you can't and Start thinking how you CAN!
    Remember, SUCCESS comes in CANS!
    George

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    • drumpriest
      Veteran Member
      • Feb 2004
      • 3338
      • Pittsburgh, Pa, USA.
      • Powermatic PM 2000

      #3
      What you have there (if I'm envisioning it correctly) is a cube and a triangular wedge. (when in doubt break down into simple primitives)

      The cube would have a volume of 3"x19"x13" = 1140 cubic inches

      plus the triangular wedge, which is the area of a triangle times the depth in inches. if the ends are square, then the triangular area is 1/2 of a cube of the max height/width/depth of the triangle.

      So... (20-3=17") x 19" x 13" = 4199 / 2 = 2099.5 cubic inches.

      So the volume should be 3239.5 cubic inches.
      Keith Z. Leonard
      Go Steelers!

      Comment

      • LCHIEN
        Super Moderator
        • Dec 2002
        • 21974
        • Katy, TX, USA.
        • BT3000 vintage 1999

        #4
        Originally posted by drumpriest
        What you have there (if I'm envisioning it correctly) is a cube and a triangular wedge. (when in doubt break down into simple primitives)

        The cube would have a volume of 3"x19"x13" = 1140 cubic inches

        plus the triangular wedge, which is the area of a triangle times the depth in inches. if the ends are square, then the triangular area is 1/2 of a cube of the max height/width/depth of the triangle.

        So... (20-3=17") x 19" x 13" = 4199 / 2 = 2099.5 cubic inches.

        So the volume should be 3239.5 cubic inches.
        you mixed up some feet dimensions and inch dimensions.

        The cube is 13' x 19' x 3" deep (61.75 cu feet)
        The wedge is 13' x 19' x (20-3 ")/2 (175 cu ft)


        total 236.75 cu ft
        and he wants the volume in cu yards. so divide by 27 cuft/cu yard

        =8.76 cu yds.
        Loring in Katy, TX USA
        If your only tool is a hammer, you tend to treat all problems as if they were nails.
        BT3 FAQ - https://www.sawdustzone.org/forum/di...sked-questions

        Comment

        • crokett
          The Full Monte
          • Jan 2003
          • 10627
          • Mebane, NC, USA.
          • Ryobi BT3000

          #5
          Originally posted by LCHIEN

          =8.76 cu yds.
          Thanks Loring - that is about what the online volume calculator for the trapezoid told me. Guess I need more dirt.
          David

          The chief cause of failure in this life is giving up what you want most for what you want at the moment.

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