Regular hexagonal pyramid

Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture.

Correct result:

h =  19.5256 cm

Solution:

a=5 cm w=20 cm  h2=3/2⋅ a=3/2⋅ 5≐4.3301 cm  w2=h22+h2  h=w2−h22=202−4.33012=19.5256 cm

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