# Volume of a frustum Calculator

## Calculates the volume of a frustum given the base and top areas, and height.

 top area S1 base area S2 height h 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit volume V
 $\normal Frustum\\(1)\ volume:\hspace{20} V={\large\frac{h}{3}}(S_1+S_2+\sqrt{S_1S_2})\\$

Volume of a frustum
 [1-10] /30 Disp-Num5103050100200
[1]  2018/12/08 06:34   Male / 50 years old level / An office worker / A public employee / Very /
Purpose of use
Volume of a Storm Water Pond to provide Fire Flow
Comment/Request
This was very useful. Particularly for a pond where there is a requirement to the angle of the side to change at a certain depth. I used the calculator twice and was able to show the engineer did not have enough water for fire flow and that increasing the depth of the pond by one foot would provide the required water. And I learned a new word. :)
[2]  2018/04/19 11:10   Male / 20 years old level / An engineer / Useful /
Purpose of use
volume of excavation for footings; cut is sloping at 45 deg. thanks from Philippines
Comment/Request
thanks from Philippines
[3]  2017/09/16 21:55   Male / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
studying
[4]  2017/08/15 01:06   Male / 40 years old level / An engineer / Useful /
Purpose of use
Checking Volume of Basin
[5]  2017/07/19 04:37   Male / 50 years old level / An engineer / Useful /
Purpose of use
Trying to size water storage pond at a refinery
Comment/Request
I am wondering why this formula does not give quite the same result as V = h/6 x (Atop + 4(Amiddle) + Abottom), another widely accepted volume formula for pyramidal prismoids - ? The results are close, but not identical as expected.
[6]  2016/04/20 05:26   - / 40 years old level / Self-employed people / Very /
Purpose of use
Calculate volume of cut and fill
[7]  2016/01/25 23:40   Male / 50 years old level / An engineer / Useful /
Purpose of use
engineering applications
Comment/Request
volume of frustum can be calculated by this formula when there is a relationship between the dimensions of bases , that if divide every length of one base side on the other trans it we will gate same value , which mean that the inclined side of frustum must meet each other in one point ( pyramid head ) , so the question is : if we have a frustum but it is not a part of pyramid , how can we calculate it's volume ?

[8]  2015/07/05 01:43   Male / 50 years old level / An engineer / Very /
Purpose of use
calculate pumping station sump volume,
[9]  2015/05/30 06:35   Male / Under 20 years old / Elementary school/ Junior high-school student / A little /
Purpose of use
looking for a SQUARE frustum pyramid calculator for a school assignment.
Comment/Request
It doesn't do square pyramid frustums.
[10]  2015/05/11 13:05   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Checking own work for a Geometry assginment.

Sending completion

To improve this 'Volume of a frustum Calculator', please fill in questionnaire.
Male or Female ?
Age

Occupation

Useful?

Purpose of use?