Wall height

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

Correct result:

h =  19.5256 cm

Solution:

$$\begin{gathered} a=5\text{ cm } \\ n=6 \\ w=20\text{ cm } \\ {w}_1=\sqrt{a^2-(a\mathrm{/}2{)}^2}=\sqrt{5^2-(5\mathrm{/}2{)}^2}\doteq 4.3301\text{ cm } \\ h=\sqrt{w^2-w_1^2}=\sqrt{20^2-4.3301^2}=19.5256\text{ cm} \end{gathered}$$

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