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Volume and Surface Area of Rectangular Frustum (Obelisk)


rectangular-frustum.png

Dimensions

Bottom base - A = B =
Top base - a = b =

Height -

h =

Heights of side faces

ha = h2 + (Bb)2/4

hb = h2 + (Aa)2/4

Volume

V = h/6·(A·b + a·B + 2·(a·b + A·B))

Area of side faces

So = ha·(A + a) + hb·(B + b)

Base areas

A1 = A·B

A2 = a·b

Total surface area

S = So + A1 + A2


Substitute