Volume of an obelisk Calculator

Calculates the volume of an obelisk given the base and top sides, and height.

An obelisk is the polyhedron formed by two parallel rectangles whose side faces are trapezoids.
Volume of an obelisk
top side a
top side b
base side A
base side B
height h

volume V
    1.  
    Volume of an obelisk
    [1-10] /35Disp-Num
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    [1]  2021/08/21 15:46   40 years old level / Others / Very /
    Purpose of use
    Find the correct loaf tin size
    Comment/Request
    Extremely useful!! Very accurate once you know this tool is available....
    [2]  2021/08/16 19:31   20 years old level / An office worker / A public employee / Very /
    Purpose of use
    To calculate the volume of a mould used to stamp in starch to manufacture gummy candy.
    Comment/Request
    Today I learned that this particular polyhedron is called an "obelisk." I found it very helpful, this calculation was critical in understanding if the volume of a metal mould I am having developed would be large enough to hold a certain amount of liquid—as it turns out is was too small for my needs, so this calculator just saved me several weeks and a bunch of money with mould revisions! I can now go to our mould maker and say it needs to be larger.
    [3]  2021/05/19 09:53   Under 20 years old / Elementary school/ Junior high-school student / Very /
    Purpose of use
    calculating volume and surface area of various shapes, revising methods.
    Comment/Request
    very useful
    [4]  2021/04/24 21:20   60 years old level or over / Self-employed people / Very /
    Purpose of use
    calculating volume of tapered plastic molds to determine amount of water and plaster needed for mix of a pre-determined consistency
    Comment/Request
    Very helpful. Thank you.
    [5]  2021/04/16 17:27   60 years old level or over / Self-employed people / Very /
    Purpose of use
    volume of a light pole base
    [6]  2021/03/06 09:08   20 years old level / An engineer / Very /
    Purpose of use
    for calculating the volume to coolers in the shapes for required volume.
    Comment/Request
    Much useful and quick.Thanks
    [7]  2020/05/26 11:24   30 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    calculate filling volume of hopper
    Comment/Request
    would be really nice to have a formula to calculate a volume at a height within the obelisk/parazoid. so if you want to have an intermediate level, where you don't know the exact top/base dimensions from, where you only know this of the complete hopper
    [8]  2019/01/02 00:19   50 years old level / An engineer / A little /
    Purpose of use
    Hopper car volume calculation
    Comment/Request
    I found different formula that give different result.
    V=h/3 (AB+ab+sqrt(AB x ab)
    [9]  2018/09/30 20:42   40 years old level / Others / Very /
    Purpose of use
    Calculating wood chip pile
    [10]  2018/03/15 03:55   40 years old level / An engineer / Useful /
    Purpose of use
    Volume of a hopper for a conveyor

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