Volume of a obelisk Calculator

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

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

volume V
    1.  
    Volume of a 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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