# Tree trunk

What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm?

Result

D =  28.284 cm

#### Solution:

$a=20 \ \text{cm} \ \\ \ \\ u=a \cdot \ \sqrt{ 2 }=20 \cdot \ \sqrt{ 2 } \doteq 20 \ \sqrt{ 2 } \ \text{cm} \doteq 28.2843 \ \text{cm} \ \\ \ \\ D=u=28.2843 \doteq 20 \ \sqrt{ 2 } \doteq 28.2843 \doteq 28.284 \ \text{cm}$

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