Truncated Square Pyramid

Calculator and formulas for calculating the volume and surface of a truncated pyramid

Calculate a truncated square pyramid


This function calculates the volume and surface of a truncated square pyramid.

To perform the calculation, enter the length of the base side a, the top side b and the height. Then click the 'Calculate' button.


Truncated Pyramid Calculator

 Input
Base side a
Top side b
Height h
Decimal places
 Results
Volume V
Lateral area A
Surface area S

Formulas of truncated square pyramid


Volume  

\(\displaystyle V=\frac{(a^2 +ab +b^2) · h }{3}\)

Lateral area  

\(\displaystyle A=2(a+b) \sqrt{\left(\frac{a-b}{2}\right)^2 + h^2}\)

Surface area  

\(\displaystyle S= A+a^2+b^2 \)

Height  

\(\displaystyle h= \frac{3·V}{a^2+ab+b^2} \)

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