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Mathematics
If one of the edges of a regular octahedron is 4 √3 cm, then find its height.
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Q. If one of the edges of a regular octahedron is $4 \sqrt{3} \,cm$, then find its height.
Mensuration
A
$2 \sqrt{3} \, cm$
B
$4 \sqrt{6} \, cm$
C
$6 \sqrt{3} \,cm$
D
$2 \sqrt{6} \, cm$
Solution:
(i) Height of regular octahedron $=2$ (Height of regular tetrahedron).
(ii) Height of the octahedron $(h)=\sqrt{2} a$.