Hexagonal pyramid

Please calculate the height of a regular hexagonal pyramid with a base edge of 5cm and a wall height of w = 20cm. Please sketch a picture.

Correct result:

h =  19.5256 cm

Solution:

a=5 cm w=20 cm r=a=5=5 cm  s2=(a/2)2+w2 s=(a/2)2+w2=(5/2)2+202≐20.1556 cm  s2=r2+h2  h=s2−r2=20.15562−52=19.5256 cm

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