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19 March, 00:02

For the regular octahedron, each edge has length 2 cm, and h = 2√ cm. What is the volume of the octahedron? Round to the nearest hundredth.

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  1. 19 March, 01:32
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    The volume of this octahedron is approximately 3.77 cm³.

    Step-by-step explanation:

    The volume of a regular octahedron is given by the following formula:

    Volume = (1/3) * sqrt (2) * a³

    Where "a" is the length of each edge. Therefore to solve this problem we have:

    Volume = (1/3) * sqrt (2) * (2) ³

    Volume = (1/3) * sqrt (2) * 8

    Volume = 3.7712 cm³

    The volume of this octahedron is approximately 3.77 cm³.
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