In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the other end. It is believed that bees form their cells in such a way as to minimize the surface area for a given side length and height, thus using the least amount of wax in cell construction. Examination of these cells has shown that the measure of the apex angle is consistent. Based on the geometry of The cell, il can be shown Ihal Ihe surface area is givern by: 3 s2 cot 0 + 3s² - 2 V3 csc 0 2 S = 6sh Where s is the length of a side of the regular hexagon and h is the height and both s and h are constants. What is the value of e de

In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the other end. It is believed that bees form their cells in such a way as to minimize the surface area for a given side length and height, thus using the least amount of wax in cell construction. Examination of these cells has shown that the measure of the apex angle is consistent. Based on the geometry of The cell, il can be shown Ihal Ihe surface area is givern by: 3 s2 cot 0 + 3s² - 2 V3 csc 0 2 S = 6sh Where s is the length of a side of the regular hexagon and h is the height and both s and h are constants. What is the value of e de

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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