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There is a relatively straightforward formula for the case when all faces are regular (squares or equilateral triangles). If each edges ore of the same length, a, then

V = 1/12*{2*sqrt(2) + 3*sqrt(3)}*a^3

= approx 0.6687*a^3


If the faces are not regular then it is necessary to calculate the volumes of the two triangular pyramids and the central triangular prism and add the results together.


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