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Volume of Triangular Frustum


triangular-frustum.png

Dimensions:

Bottom base

A = , B = , C =

Top base

a = , b = B·a/A , c = C·a/A

Height - h =

Bottom base

Semiperimeter

p = 0.5·(A + B + C)

Area (Heron equation)

A1 = √p·(pA)·(pB)·(pC)

Top base

Semiperimeter

p = 0.5·(a + b + c)

Area (Heron equation)

A2 = √p·(pa)·(pb)·(pc)

Volume

V = h/3·(A1 + √A1·A2 + A2)

The sum of each two sides must be greater than the third.


Substitute