1103266407
Level:
C
Our task is to support a square tarp sized $4\,\mathrm{m}\times 4\,\mathrm{m}$ in the centers of its opposite sides to create a hay roof, as shown in the picture. What should be the height $v$ of the pillars to make the shelter space (volume) as large as possible?
$\sqrt2\,\mathrm{m}$
$\frac{\sqrt2}2\,\mathrm{m}$
$2\,\mathrm{m}$
$\sqrt3\,\mathrm{m}$
$\frac{\sqrt3}2\,\mathrm{m}$