Calculating log volume using mid-point measurement involves using a cylinder with the same length as the log and with a diameter equal to the mid-point diameter of the log under bark. Mid-point measurement may be used on all tree species, regardless of diameter and length.
The formula for calculating the mid-point-measured volume is given by:
\[ V = \frac{\pi}{4} \cdot L \cdot D_{mi}^2 \cdot 10^{-8} \]
where:
Let's assume the following values:
Using the formula:
\[ V = \frac{\pi}{4} \cdot 500 \cdot 30^2 \cdot 10^{-8} \]
Calculating step-by-step:
\[ 30^2 = 900 \]
\[ V = \frac{\pi}{4} \cdot 500 \cdot 900 \cdot 10^{-8} \]
\[ V \approx 3.1416 / 4 \cdot 500 \cdot 900 \cdot 10^{-8} \]
\[ V \approx 0.7854 \cdot 500 \cdot 900 \cdot 10^{-8} \]
\[ V \approx 353.43 \cdot 10^{-8} \approx 0.003534 \, \text{m}^3_{\text{sub}} \]
The calculated mid-point-measured volume is approximately 0.003534 m³sub.
