The Number of Board Feet of Lumber in a Log

question 68

Short Answer

The number of board feet of lumber in a log that is 12 feet long is given by the formula , where D is the diameter of the tree in inches and V is the volume of the tree in ft³. In a tree that will produce a 12 foot log and has a current diameter of 13 inches, the diameter is changing at a rate of 2.1 inches per year. How fast is the volume increasing?

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Definitions:

Investment Plan

A financial strategy plotted for making investments in various assets with the goal of achieving specific financial objectives.

Inherited Annuity

A financial product received as part of an inheritance, providing periodic payments that were initially purchased by a deceased individual.

Equal Annual Amounts

A method of loan repayment or investment that involves paying or receiving the same amount of money each year.

Present Value

The value today of a future sum of money or sequence of cash payments, calculated using a specific return rate.