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 Delete Entries Top side a Top side b Base side A Base side B Height h Decimal places 0 1 2 3 4 6  Results Volume V Lateral area AL Base area AB Top area ab Surface area S

Formula for the truncated pyramid

Volume

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

Lateral area

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

Surface area

\(\displaystyle S=A_L+(A·B)+(a·b) \)