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] /28Disp-Num
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    [1]  2019/01/02 09:19   Male / 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)
    [2]  2018/10/01 05:42   Male / 40 years old level / Others / Very /
    Purpose of use
    Calculating wood chip pile
    [3]  2018/03/15 12:55   Male / 40 years old level / An engineer / Useful /
    Purpose of use
    Volume of a hopper for a conveyor
    [4]  2018/03/09 06:39   Male / 20 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    Calculating the volume of a sloped fish pond
    [5]  2018/01/27 02:50   - / 50 years old level / High-school/ University/ Grad student / Useful /
    Purpose of use
    Just hobby
    Comment/Request
    I the formula proved / derived.

    I use the formula:
    V = h/4 x ( A-a) x (B-b)+ h/12 x (A-a) x (B-b)

    These formula give the same result, and is easy to understand.
    [6]  2017/12/09 06:09   Male / 60 years old level or over / An engineer / Very /
    Purpose of use
    Determine the volume of a sand house needed to contain 2,000 tons of cinders.
    Comment/Request
    It would be handy if one could input the angle of repose to determine a and b given h, A, B and the angle of repose. Very helpful website. Thanks
    [7]  2017/10/13 19:12   Male / 60 years old level or over / A retired people / Very /
    Purpose of use
    Tank volume for custom fabrication of irregular shaped fuel tanks.
    [8]  2017/08/26 09:26   Male / 40 years old level / An engineer / Very /
    Purpose of use
    calculating the volume of a rock pit
    [9]  2017/06/06 21:34   Female / 30 years old level / An engineer / A little /
    Purpose of use
    Calculating the volume of over-stack above a wall
    [10]  2017/01/28 14:42   Male / 30 years old level / An engineer / Very /
    Purpose of use
    calculating the volume of a conveyor belt feed hopper
    Comment/Request
    very usefull

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