# Wall height

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

Result

h =  19.526 cm

#### Solution:

$a=5 \ \text{cm} \ \\ n=6 \ \\ w=20 \ \text{cm} \ \\ \ \\ w_{1}=\sqrt{ a^2 - (a/2)^2 }=\sqrt{ 5^2 - (5/2)^2 } \doteq 4.3301 \ \text{cm} \ \\ \ \\ h=\sqrt{ w^2 - w_{1}^2 }=\sqrt{ 20^2 - 4.3301^2 } \doteq 19.5256 \doteq 19.526 \ \text{cm}$

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