Truncated rectangular Pyramid

Online calculator and formulas for calculating a truncated rectangular pyramid


This function calculates the volume of a rectangular truncated pyramid.

For the calculation, enter the height, the side lengths of the base and the top. Then click on the 'Calculate' button.


Calculate the Truncated Pyramid

 Input
Top side a
Top side b
Base side A
Base side B
Height h
Decimal places
 Results
Volume V
Lateral area AL
Base area AB
Top area ab
Surface area S
truncated pyramid

Formulas for the truncated pyramid


Volume (\(\small{V}\))

\(\displaystyle V=\frac{(Ab+aB +2(ab+AB)) · h }{6}\)

Lateral area (\(\small{A_L}\))

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

Surface area (\(\small{S}\))

\(\displaystyle S=A_L+(A·B)+(a·b) \)

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