Truncated Square Pyramid
Calculator and formulas for calculating the volume and surface of 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.
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Formulas for the truncated pyramid
Volume (\(\small{V}\))
\(\displaystyle V=\frac{(a^2 +ab +b^2) · h }{3}\)
Lateral area (\(\small{A}\))
\(\displaystyle A=2(a+b) \sqrt{\left(\frac{a-b}{2}\right)^2 + h^2}\)
Surface area (\(\small{S}\))
\(\displaystyle S= A+a^2+b^2 \)
Height (\(\small{h}\))
\(\displaystyle h= \frac{3·V}{a^2+ab+b^2} \)
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