Assume a rule that is one of several methods used to determine the lumber yield of a log (in board-feet) in terms of its diameter d (in inches) and its length L (in feet). The number of Board-feet is $N ( d , L ) = \left( \frac { d - 2 } { 2 } \right) ^ { 2 }$ . Find the number of board-feet of lumber in a log 28 inches in Diameter and $10 \text { feet in length. }$
A)7,290 board-feet
B)1,690 board-feet
C)270 board-feet
D)3,380 board-feet
E)6,760 board-feet

Question

Quizplus · Accepted Answer

The formula given is $N(d, L) = \left( \frac{d - 2}{2} \right)^2 \cdot L$. Plugging in $d = 28$ inches and $L = 10$ feet, we get:$$N(28, 10) = \left( \frac{28 - 2}{2} \right)^2 \cdot 10 = \left( \frac{26}{2} \right)^2 \cdot 10 = 13^2 \cdot 10 = 169 \cdot 10 = 1,690$$ board-feet.

Assume a Rule That Is One of Several Methods Used N(d,L)=(d−22)2N ( d , L ) = \left( \frac { d - 2 } { 2 } \right) ^ { 2 }N(d,L)=(2d−2​)2

Assume a Rule That Is One of Several Methods Used $N ( d , L ) = \left( \frac { d - 2 } { 2 } \right) ^ { 2 }$