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What is the largest square timber that can be cut from the average log?
It is estimated that the average diameter of peeled logs coming into your sawmill is 16inches.
a) What is the thickness of the largest square timber that can be cut from the average log?
b) If the rest of the log is made into mulch, what percent of the original log is the square timber?
The diagonal of the square = diameter of circle
(assuming the log is a circle)
diameter = 16"
Side of square = 16 / sqrt(2) = 8 sqrt(2) =~ 11.3"
area of square = 128 sq in
area of circle = 64 pi = 201 sq in
128/201 = 63.7% = log, rest = mulch
Discussion
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