Bof the apex angle is amazingly consistent. Based on the geometry of the cell, it can be
Chapter 4, Problem 27(choose chapter or problem)
Bof the apex angle is amazingly consistent. Based on the geometry of the cell, it can be shown that the surface area S is given by S 6sh 2 3 2 s2 cot 1 s3s 2 s3y2d csc where s, the length of the sides of the hexagon, and h, the height, are constants. (a) Calculate dSyd. (b) What angle should the bees prefer? (c) Determine the minimum surface area of the cell (in terms of s and h). Note: Actual measurements of the angle in beehives have been made, and the measures of these angles seldom differ from the calculated value by more than 2.eehives In a beehive, each cell is a regular hexagonal prism,
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