# Volume of a truncated square pyramid Calculator

## Calculates the volume, lateral and surface areas of a truncated square pyramid given the base and top sides, and height.

 base side a top side b height h 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit volume V lateral area F surface area S
 $\normal Truncated\ square\ pyramid\\(1)\ volume:\hspace{45} V={\large\frac{1}{3}}(a^2+ab+b^2)h\\(2)\ lateral\ area:\ F=2(a+b)\sqrt{({\large\frac{a-b}{2}})^2+h^2}\\\vspace{2}(3)\ surface\ area:\ S=F+a^2+b^2\\$

Volume of a truncated square pyramid
 [1-10] /95 Disp-Num5103050100200
[1]  2018/07/26 19:11   Male / 40 years old level / An engineer / Useful /
Comment/Request
need to know of unequal sides
[2]  2018/07/18 18:53   Male / 30 years old level / An engineer / Useful /
Purpose of use
Double checking work calcs
Comment/Request
It would be really useful to have a calculator that could determine the volume at a specified level from the base (h1), but when you know the top / base dimensions at value h apart (hope that makes sense)
[3]  2018/06/14 13:20   Male / Under 20 years old / Elementary school/ Junior high-school student / Very /
Purpose of use
School
[4]  2018/05/21 04:20   Female / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Project
[5]  2018/03/19 09:26   Female / Under 20 years old / Elementary school/ Junior high-school student / A little /
Purpose of use
Geometry project
Comment/Request
Could you put what lateral area is, and how to find it
from Keisan
"Lateral area" is the area excluding the bottom surface and the top surface.
[6]  2018/03/12 06:50   Male / 40 years old level / An engineer / Very /
Purpose of use
I use this calculation in my work
Comment/Request
I want calculate of highest Volume of a truncated square pyramid
[7]  2018/02/27 17:24   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Excavation volume calculation
[8]  2018/02/15 05:36   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
School project
[9]  2018/01/30 00:51   Male / - / High-school/ University/ Grad student / Very /
Purpose of use
Wastewater Treatment plants.
[10]  2018/01/22 16:39   Male / 20 years old level / An engineer / Very /
Purpose of use
volume calculation
Bug report
Can u prove the volume of trapezoidal formula with an integration?

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