# Volume of a truncated square pyramid

## 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 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt volume V lateral area F surface area S
 $\normal Truncated\ square\ pyramid\\(1)\ volume:\hspace{45} V={\large\frac{1}{3}}(a^2+ab+b^2)h\\(2)\ lateral\ area:\ F=2(a+b)\sqrt{({\large\frac{a-b}{2}})^2+h^2}\\\vspace{2}(3)\ surface\ area:\ S=F+a^2+b^2\\$

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