Please please please explain this well and help me understand this problem, I have an exam tomorrow.

current speed. 45. In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the other end as in the figure. It is believed that bees form their cells in such a way as to min- 10 imize the surface area, thus using the least amount of wax in cell construction. Examination of these cells has shown that the measure of the apex angle 0 is amazingly consistent. Based on the geometry of the cell, it can be shown that the surface area S "10 is given by mi bre sation ari to dignona odds of isnothing owl il sill motl soulzib and lo ov OIn Moth S = 6sh - 252 cot 0 + (3s23/2) csc 0 where s, the length of the sides of the hexagon, and h, the height, are constants. (a) Calculate dS/do. 2luo (b) What angle should the bees prefer? to (c) Determine the minimum surface area of the cell ( in terms n of s and h). e Note: Actual measurements of the angle 0 in beehives have been made, and the measures of these angles seldom differ from the calculated value by more than 2. sill poob trihedral son rear angle 0 1Bible of cell pe jup zi serb olgast set ce of mognet al sepastogud h libommoo s to alini Ste xe b s oil mort S front of cell