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Doyle's Log Rule

Doyle's log rule describes the volume of wood in a standing tree or log.

The volume of wood is proportional to the diameter minus 4 inches squared times the length of the log.

Formula

QuantityVariable["V", "Volume"] == Quantity[1/16, "BoardFeet"/"Feet"]*(-4 + Quantity[1, "Inches"^(-1)]*QuantityVariable["d", "Diameter"])^2*QuantityVariable["L", "Length"]

symbol description physical quantity
V volume "Volume"
d diameter "Diameter"
L length "Length"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Doyle's Log Rule"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Doyle's Log Rule"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Doyle's Log Rule"], {QuantityVariable["L","Length"] -> Quantity[10, "Feet"]}]
Out[3]=

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