A crystal is in the form of a regular octahedron. The edges of the octahedron are all 4mm long. Calculate the volume of the octahedron?

1 answer

To find the volume of an octahedron, we can use the formula:

Volume = (1/3) * √2 * a^3

where a is the length of the edge of the octahedron.

Given that a = 4mm, we can substitute this into the formula:

Volume = (1/3) * √2 * 4^3
Volume = (1/3) * √2 * 64
Volume = (1/3) * 8√2
Volume = 8√2 / 3

Approximately, the volume of the octahedron is 9.42 cubic mm.
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