# Logs

The log has diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it?

Result

S =  450 cm2

#### Solution:

$D = 30 \ cm \ \\ D^2 = a^2+ a^2 \ \\ D = \sqrt{2}a \ \\ S = a^2 = (D/\sqrt{2})^2 = 30^2/2 = 450 \ \text{cm}^2$

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